convergence and stability of iterative algorithms of generalized set valued variational like inclusions in banach spaces abstract in this paper we give the notion of p proximal mapping an extension of p proximal mapping given by ding and xia j comput appl math 147 2002 369 for a nonconvex lower semicontinuous subdifferentiable proper functional on banach space and prove its existence and lipschitz continuity further we consider a class of generalized set valued variational like inclusions in banach space and show its equivalence with a class of implicit wiener hopf equations using the concept of p proximal mapping using this equivalence we propose a new class of iterative algorithms for the class of generalized set valued variational like inclusions furthermore we prove the existence of solution of generalized set valued variational like inclusions and discuss the convergence criteria and the stability of the iterative algorithm

new perturbed finite step iterative algorithms for a system of extended generalized nonlinear mixed quasi variational inclusions this paper introduces a new system of extended generalized nonlinear mixed quasi variational inclusions involving a maximal m relaxed h accretive so called a h accretive lan et al 2006 37 mappings in q uniformly smooth banach spaces by using the resolvent operator technique for a maximal m relaxed h accretive mappings due to lan et al we establish the existence and uniqueness of solution for this system of extended generalized nonlinear mixed quasi variational inclusions and construct a new perturbed n step iterative algorithm with mixed errors for solving the mentioned system we also prove the convergence of the sequences generated by our algorithms in q uniformly smooth banach spaces the results presented in this paper extend and improve some known results in the literature

proximal point algorithm for generalized multivalued nonlinear quasi variational like inclusions in banach spaces in this paper we define a new notion of j h proximal mapping for a nonconvex lower semicontinuous h subdifferentiable proper functional in banach spaces the existence and lipschitz continuity of j h proximal mapping of a lower semicontinuous h subdifferentiable proper functional are proved by applying this notion we introduce and study generalized multivalued nonlinear quasi variational like inclusions in reflexive banach spaces and propose a proximal point algorithm for finding the approximate solutions of this class of variational inclusions the convergence criteria of the iterative sequences generated by our algorithm is discussed several special cases are also given

sensitivity analysis for a system of generalized mixed implicit equilibrium problems in uniformly smooth banach spaces abstract in this paper a new system of parametric generalized mixed implicit equilibrium problems involving non monotone set valued mappings in real banach spaces is introduced and studied we first generalize the notion of the yosida approximation in hilbert spaces introduced by moudafi to reflexive banach spaces further by using the notion of the yosida approximation we consider a system of parametric generalized wiener hopf equation problems and show its equivalence to the system of parametric generalized mixed implicit equilibrium problems by using a fixed point formulation of the system of parametric generalized wiener hopf equation problems we study the behavior and sensitivity analysis of a solution set of the system of parametric generalized mixed implicit equilibrium problems we prove that under suitable assumptions the solution set of the system of parametric generalized mixed implicit equilibrium problems is nonempty closed and lipschitz continuous with respect to the parameters our results are new and improve and generalize some known results in this field

three step iterative algorithm for a system of set valued variational inclusions with h η monotone operators abstract in this paper we introduce and study a new system of set valued variational inclusions with h monotone operators we prove the convergence of a new three step iterative algorithm for this system of set valued variational inclusions the results in this paper extend and improve some known results from the literature

perturbed proximal point algorithms for general quasi variational like inclusions in this paper we introduce two new concepts of subdifferential and proximal mappings of proper functionals on hilbert spaces the existence and lipschitz continuity of proximal mapping of a proper functional are proved by applying these concepts we introduce and study a class of general quasi variational like inclusions and develop some new perturbed proximal point algorithms of mann and ishikawa type for finding the approximate solutions of the general quasi variational like inclusions the convergence criteria of the sequences of approximate solutions generated by these new algorithms are also discussed our algorithms and results improve and generalize many known results in the literature

minimal locally bounded fuzzy neighborhood rings and commutative division rings abstract we produce several characterization theorems on fuzzy neighborhood groups rings and commutative division rings introducing local boundedness in fuzzy neighborhood rings we discuss minimal elements in the set of fuzzy neighborhood systems compatible with ring and commutative division ring structures this is based on weakening fuzzy neighborhood systems compatible with ring structures in analogy to classical ring topologies

the categorical topology approach to fuzzy topology and fuzzy convergence it is the purpose of this paper to have a look at fuzzy topology from the point of view of categorical topology we first look at interesting subcategories of fts and determine whether they are bireflective and or coreflective we also describe the set of all subcategories of fts which are at the same time bireflective and coreflective due to the fact that top is one of these subcategories of fts ffs itself can be neither cartesian closed nor extensional we therefore secondly construct a supercategory of bts which is a topological quasitopos the construction of this quasitopos is based on the theory of convergence in fts

a new completely general class of variational inclusions with noncompact valued mappings abstract in this paper we introduce and study a new completely general class of variational inclusions with noncompact valued mappings and construct some new iterative algorithms we prove the existence of solutions for the completely general class of variational inclusions and the convergence of iterative sequences generated by the algorithms

an iterative method for generalized set valued nonlinear mixed quasi variational inequalities this paper presents an iterative method for solving the generalized nonlinear set valued mixed quasi variational inequality a problem class that was introduced by huang et al comp math appl 40 2 3 2000 205 215 the method incorporates step size controls that enable application to problems where certain set valued mappings do not always map to nonempty closed bounded sets

generalized nonlinear implicit quasi variational inclusions with fuzzy mappings abstract in this paper we introduce and study a new class of generalized nonlinear implicit quasivariational inclusions with fuzzy mappings an existence theorem of solutions is proved without compactness assumptions a new iterative algorithm is suggested and analysed the convergence of the iterative sequence generated by the new algorithm is also given as special cases some known results are also discussed

sensitivity analysis for a system of parametric general quasi variational like inequality problems in uniformly smooth banach spaces in this paper using the concept of p h proximal point mapping introduced by kazmi and bhat 11 we study the existence and sensitivity analysis of the solution set of a system of parametric general quasi variational like inequality problems in uniformly smooth banach spaces further under suitable conditions we discuss the lipschitz continuity of the solution set with respect to the parameters the approach used in this paper may be treated as an extension and unification of approaches for studying sensitivity analysis for various important classes of variational inequalities given in 1 2 4 12 14 16 21 24

a new system of generalized mixed quasi variational inclusions with h η monotone operators abstract in this paper we introduce and study a new system of generalized mixed quasi variational inclusions with h monotone operators we prove the convergence of a new iterative algorithm for this system of generalized mixed quasi variational inclusions the results in this paper extend and improve some known results in the literature

existence of solutions and convergence of iterative algorithms for a system of generalized nonlinear mixed quasi variational inclusions in this paper we introduce and study a new system of generalized nonlinear mixed quasi variational inclusions in q uniformly smooth banach spaces we prove the existence and uniqueness of solutions for this system of generalized nonlinear mixed quasi variational inclusions we also prove the convergence of several new two step iterative algorithms with or without errors for this system of generalized nonlinear mixed quasi variational inclusions the results in this paper extend and improve some known results in the literature

on fuzzy neighborhood rings abstract we introduce the concept of fuzzy neighborhood rings we give necessary and sufficient conditions for a ring structure and a fuzzy neighborhood system to be compatible we also give necessary and sufficient conditions for a prefilter to be a neighborhood prefilter of 0 in a fuzzy neighborhood rings the notion of bounded fuzzy set is introduced in fuzzy neighborhood rings and some results in this context are provided

some properties of fuzzy neighborhood normed linear spaces abstract the aim of this paper is to investigate some properties relating to continuity uniform continuity and boundedness in fuzzy neighborhood normed linear spaces

convergence and stability of perturbed three step iterative algorithm for completely generalized nonlinear quasivariational inequalities in this paper we introduce a new class of completely generalized nonlinear quasivariational inequalities and obtain its equivalence with a class of fixed point problems by using the resolvent operator technique using this equivalence we develop perturbed three step iterative algorithm for this class of completely generalized quasivariational inequalities we establish a few existence theorems of unique solution for the class of completely generalized quasivariational inequalities involving relaxed monotone generalized pseudocontractive and strongly monotone mappings and prove some convergence and stability results of iterative sequence generated by perturbed three step iterative algorithm

sensitivity analysis for a system of parametric generalized mixed quasi variational inclusions involving k η monotone mappings in this paper we introduce a new system of parametric generalized mixed quasi variational inclusions involving k h monotone mappings by using resolvent operator technique of k h monotone mappings and the property of fixed point set of set valued contractive mappings we study the behavior and sensitivity analysis of the solution set for the system of parametric generalized mixed quasi variational inclusions in hilbert spaces in particular we prove that the solution set of the system of parametric generalized mixed quasi variational inclusions is nonempty closed and the lipschitz continuity of solution set with respect to the parameters is also proved under suitable conditions these results improve unify and generalize many corresponding known results in literature

approximation solvability of a class of nonlinear set valued variational inclusions involving a η monotone mappings abstract a new class of nonlinear set valued variational inclusions involving a monotone mappings in a hilbert space setting is introduced and then based on the generalized resolvent operator technique associated with a monotonicity the existence and approximation solvability of solutions using an iterative algorithm is investigated

algorithms of common solutions for variational inclusions mixed equilibrium problems and fixed point problems in this paper we present an iterative algorithm for finding a common element of the set of solutions of a mixed equilibrium problem and the set of fixed points of an infinite family of nonexpansive mappings and the set of a variational inclusion in a real hilbert space furthermore we prove that the proposed iterative algorithm has strong convergence under some mild conditions imposed on algorithm parameters

convergence and stability of an iterative algorithm for a system of generalized implicit variational like inclusions in banach spaces abstract in this paper we give the notion of m proximal mapping for a nonconvex proper lower semicontinuous and subdifferentiable functional on banach space which is an extension of proximal mappings studied in x p ding f q xia a new class of completely generalized quasi variational inclusions in banach spaces j comput appl math 147 2002 369 383 k r kazmi m i bhat convergence and stability of iterative algorithms of generalized set valued variational like inclusions in banach spaces appl math comput 113 2005 153 165 k r kazmi m i bhat n ahmad an iterative algorithm based on m proximal mappings for a system of generalized implicit variational inclusions in banach spaces j comput appl math 233 2009 361 371 we prove its existence and lipschitz continuity in reflexive banach space further we consider a system of generalized implicit variational like inclusions in banach spaces and show its equivalence with a system of implicit equations using the concept of m proximal mappings using this equivalence we propose a new iterative algorithm for the system of generalized implicit variational like inclusions furthermore we prove the existence of solution of the system of generalized implicit variational like inclusions and discuss the convergence and stability analysis of the iterative algorithm in the setting of uniformly smooth banach spaces

linear fuzzy neighborhood spaces some of the properties of linear fuzzy neighborhood spaces are studied a special class of these spaces is the family of all fuzzy linear spaces whose topology is given by probabilistic seminorms as in the classical case it is shown that a linear fuzzy neighborhood space is probabilistic normable iff it is hausdorff and it has an n bounded convex fuzzy neighborhood of zero

on fuzzy neighborhood groups abstract our aim is to introduce the notion of fuzzy neighborhood groups in section 2 we establish some basic results and prove some characterization theorems in section 3 we prove that every fuzzy neighborhood group is fuzzy uniformizable in the sense of r lowen j math anal appl 82 1981 370 385

a new system of variational inclusions with h η monotone operators in hilbert spaces in this paper we introduce and study a new system of variational inclusions involving h h monotone operators in hilbert space using the resolvent operator associated with h h monotone operators we prove the existence and uniqueness of solutions for this new system of variational inclusions we also construct a new algorithm for approximating the solution of this system and discuss the convergence of the sequence of iterates generated by the algorithm

fuzzy topologies with specified level properties abstract recently the author and p wuyts have studied the problem of defining fuzzy topologies when one is given the family of closure operators or the family of level topologies this paper is concerned with the relationship between these two problems when the family of topologies is a chain with the lt property there is a natural family of closure operators that generates the wuyts maximum i e the largest fuzzy topology with the given level topologies as a corollary it is shown that the fuzzy neighborhood spaces are precisely the pseudo regular spaces in general the relationship between the two problems is weak for example given an lt family of topologies and an l ftp family of semi closure operators there is a fuzzy topology associated with both if and only if the 0 level closure generates the 0 level topology and the closure of a set is always closed in the level topology lastly it is shown that when a function s domain has a wuyts maximum as its topology fuzzy continuity is equivalent to level continuity

an iterative method for generalized nonlinear set valued mixed quasi variational inequalities with h monotone mappings generalized nonlinear set valued mixed quasi variational inequalities with maximal monotone mappings have been studied in the literature since the maximal monotone operators are known as special cases of the h monotone operators we generalize the study for these inequality problems with h monotone mappings in this paper precisely we establish the existence of solutions for the generalized nonlinear set valued mixed quasi variational inequality problem with h monotone mappings an iterative method for finding their approximate solutions are proposed furthermore a new convergence criteria for this iterative method is imposed

completely generalized multivalued nonlinear co quasi variational like inclusions in this paper we introduce and study completely generalized multivalued nonlinear co quasi variational like inclusions by using j h proximal mapping 1 we propose an iterative algorithm for computing the approximate solutions of completely generalized multivalued nonlinear co quasi variational like inclusions problem we prove that approximate solutions obtained by the proposed algorithm converge to the exact solutions of completely generalized multivalued nonlinear co quasi variational like inclusions problem some special cases are also discussed

sensitivity analysis for parametric generalized implicit quasi variational like inclusions involving p η accretive mappings abstract in this paper using proximal point mapping technique of p accretive mapping and the property of the fixed point set of set valued contractive mappings we study the behavior and sensitivity analysis of the solution set of a parametric generalized implicit quasi variational like inclusion involving p accretive mapping in real uniformly smooth banach space further under suitable conditions we discuss the lipschitz continuity of the solution set with respect to the parameter the technique and results presented in this paper can be viewed as extension of the techniques and corresponding results given in r p agarwal y j cho n j huang sensitivity analysis for strongly nonlinear quasi variational inclusions appl math lett 13 2002 19 24 s dafermos sensitivity analysis in variational inequalities math oper res 13 1988 421 434 x p ding sensitivity analysis for generalized nonlinear implicit quasi variational inclusions appl math lett 17 2 2004 225 235 x p ding parametric completely generalized mixed implicit quasi variational inclusions involving h maximal monotone mappings j comput appl math 182 2 2005 252 269 x p ding c l luo on parametric generalized quasi variational inequalities j optim theory appl 100 1999 195 205 z liu l debnath s m kang j s ume sensitivity analysis for parametric completely generalized nonlinear implicit quasi variational inclusions j math anal appl 277 1 2003 142 154 r n mukherjee h l verma sensitivity analysis of generalized variational inequalities j math anal appl 167 1992 299 304 m a noor sensitivity analysis framework for general quasi variational inclusions comput math appl 44 2002 1175 1181 m a noor sensitivity analysis for quasivariational inclusions j math anal appl 236 1999 290 299 j y park j u jeong parametric generalized mixed variational inequalities appl math lett 17 2004 43 48

perturbed ishikawa type iterative algorithm for generalized quasivariational inclusions in this paper a perturbed ishikawa type iterative algorithm of solving a new class of generalized nonlinear implicit quasivariational inclusions are suggested and analysed first an existence theorem of solutions for generalized nonlinear implicit quasivariational inclusion is proved under suitable assumptions then the convergence of the perturbed ishikawa type iterative sequences generated by the new algorithm is proved as special cases some known results are also discussed

generalized quasi variational like inclusions with nonconvex functionals in this paper two new concepts of h subdifferential and h proximal mappings of a proper functional is introduced in hilbert spaces the existence and lipschitz continuity of h proximal mapping of a proper functional are proved by applying these concepts we introduce and study a class of generalized quasi variational like inclusions with a nonconvex functional a new iterative algorithms for finding the approximate solutions and the convergence criteria of the iterative sequences generated by the algorithm are also given these algorithm and existence result generalize many known results in the literature

generalized implicit quasivariational inclusions with fuzzy set valued mappings abstract in this paper we introduce and study a new class of generalized implicit quasivariational inclusions with fuzzy set valued mappings a existence theorem of solutions is proved without compactness assumptions a new iterative algorithm is suggested and analyzed the convergence of iterative sequence generated by the new algorithm is also given as special cases some known results are also discussed

net convergence in fuzzy neighborhood spaces our aim is to introduce a concept of net convergence in the well behaved subcategory of lowen fuzzy neighborhood spaces of the category of fuzzy topological spaces in doing so we notice that our present notion of net convergence in addition to katsaras and papageorgeou net convergence is generalized sequential convergence we also apply this notion of net convergence in fuzzy neighborhood groups and fuzzy neighborhood linear spaces

strictly minimal fuzzy neighborhood division rings abstract the aim of this article is on the one hand to determine suitable classes of fuzzy neighborhood division rings that can be used as scalar domains for linear fuzzy neighborhood spaces so as to accommodate 1 a a nonvanishing linear transformation t is continuous on the space if and only if the kernel of t is n hyperclosed 2 b a nonvanishing linear transformation t is continuous on the space if and only if it has n hyperclosed graph 3 c every finite dimensional linear space admits exactly one admissible fuzzy neighborhood system and on the other hand to examine several elegant features of those classes of fuzzy neighborhood division rings

sensitivity analysis for parametric completely generalized strongly nonlinear implicit quasi variational inclusions in this paper by using a resolvent operator technique of maximal monotone mappings and the property of a fixed point set of set valued contractive mappings we study the behavior and sensitivity of the solutions of the parametric completely generalized strongly nonlinear implicit quasi variational inclusion in hilbert space our results extend improve and unify the previously many results in this field

sensitivity analysis for parametric completely generalized nonlinear implicit quasivariational inclusions in this paper we introduce a new class of parametric completely generalized nonlinear implicit quasivariational inclusions and study the behavior and sensitivity analysis of the solution set of the parametric completely generalized nonlinear implicit quasivariational inclusion dealing with multivalued and single valued nonlinear mappings in hilbert spaces our results extend improve and unify the previously many known results in this area

on separation axioms in fuzzy topological spaces fuzzy neighborhood spaces and fuzzy uniform spaces submitted by l zadeh a certain number of separation axioms for fuzzy topological spaces are provided all of which are good extensions of the topological t t or t2 all valid implications between the different axioms are studied and counterexamples are given for the nonvalid ones in this paper we introduce and study a number of separation properties of fuzzy topological fuzzy neighborhood and fuzzy uniform spaces all of which are extensions of t t and t in topological spaces we started from the viewpoint that separation axioms at least t originated in the need to guarantee in some sense uniqueness of limits and we tried to generalize the topological t axiom in that direction it appears that a whole range of axioms from a fairly weak condition wt up to a rather strong one tj all give rise to acceptable extensions of the topological property moreover it seems likely that it will not be possible to single out one axiom in fuzzy topology as the best extension of topological t2 we showed in a preceding paper 181 on completions of fuzzy uniform spaces that tj as well as wt collapsing with wt in uniform spaces have a specific role to play in the same sense wt has already shown its usefulness in the study of hyperspaces 131 and t2 in its relation with compactness 191 as to our other axioms from t to wt they all seem to be natural generalizations of the corresponding properties in topological spaces and of the different t notions in fuzzy topological spaces they are moreover hereditary and t and ty excepted also productive as to the relations with other work in this field we first point out that our wt axiom is in fact the 1 hausforff separation property of hiihle 2 31 hutton and reilly in 4 and rodabaugh in 161 also studied separation current address is rijksuniversitair centrum 2020 antwerpen belgium

on a new system of generalized mixed quasi variational like inclusions involving a η m accretive operators with applications in this paper we introduce a new and interesting system of generalized mixed quasi variational like inclusions with a h m accretive operators and relaxed cocoercive mappings which contains variational inequalities variational inclusions systems of variational inequalities systems of variational like inequalities and systems of variational inclusions in the literature as special cases by using the resolvent technique for the a h m accretive operators we prove the existence of solutions and the convergence of a new p step iterative algorithm for this system of generalized mixed quasi variational like inclusions in real q uniformly smooth banach spaces the results in this paper unifies extends and improves some known results in the literature

a new system of variational inclusions involving h accretive operator in banach spaces in this paper we introduced and study a new class of system of variational inclusions involving h accretive operator in banach spaces by using the resolvent operator technique associated with h accretive operator we prove the existence of the solution for the system of inclusions and develop a step controlled iterative algorithm to approach the unique solution

on fuzzy neighborhood modules and algebra abstract the notion of fuzzy neighborhood module over a ring and fuzzy neighborhood algebra over a field is introduced some characterization theorems with fundamental results are deduced

fuzzy topology and fuzzy multifunctions the fundamental concept of a fuzzy set was first introduced by zadeh in his classical paper 141 since then work has been done by many authors in several directions which has resulted in the formation of a new mathematical field called fuzzy mathematics the theory of fuzzy topological spaces is a branch of such mathematics chang in 2 was the first to introduce the notion of fuzzy topology several others continued the work in this area for example see 12 131 we remark that general point set topology can be regarded as a special case of fuzzy topology where all membership functions are just characteristic functions in this paper we introduce several fuzzy topological concepts and examine their properties our basic tool in that process is the notion of the fuzzy neighborhood of a point introduced by warren in ill we also introduce the notion of fuzzy multifunctions which we strongly believe will be useful in the study of fuzzy games and general fuzzy optimization problems we study the continuity and measurability properties of these multifunctions also we introduce linear fuzzy multifunctions and study their properties in the light of the recent work of katsaras 5 katsaras and liu s and lowen 9 on fuzzy vector spaces

iterative approximation of a solution of multi valued variational like inclusion in banach spaces a p η proximal point mapping approach in this paper we introduce a class of p accretive mappings an extension of m accretive mappings c e chidume k r kazmi h zegeye iterative approximation of a solution of a general variational like inclusion in banach spaces int j math math sci 22 2004 1159 1168 and p accretive mappings y p fang n j huang h accretive operators and resolvent operator technique for solving variational inclusions in banach spaces appl math lett 17 2004 647 653 in real banach spaces we prove some properties of p accretive mappings and give the notion of proximal point mapping termed as p proximal point mapping associated with p accretive mapping further using p proximal point mapping technique we prove the existence of solution and discuss the convergence analysis of iterative algorithm for multi valued variational like inclusions in real banach space the theorems presented in this paper extend and improve many known results in the literature

deformation retracts of stein spaces let x be an n dimensional stein space it was proved in 4 5 3 that x has the homotopy type of a cw complex of dimension5n in the algebraic case this was proved in 8 with the additional conclusion that the cw complex is nite it is therefore natural to ask if there exists a subset q of x with the same topological properties as x for instance q is a strong deformation retract of x and q is a cw complex of dimension5 n the main result of the paper is

parametric completely generalized mixed implicit quasi variational inclusions involving h maximal monotone mappings a new class of parametric completely generalized mixed implicit quasi variational inclusions involving h maximal monotone mappings is introduced by applying resolvent operator technique of h maximal monotone mapping and the property of fixed point set of set valued contractive mappings the behavior and sensitivity analysis of the solution set of the parametric completely generalized mixed implicit quasi variational inclusions involving h maximal monotone mappings are studied the continuity and lipschitz continuity of the solution set with respect to the parameter are proved under suitable assumptions our approach and results are new and improve unify and extend previous many known results in this field

characterization of h monotone operators with applications to variational inclusions this paper establishes necessary and sufficient conditions for operators to be h monotone based on these conditions we introduce a new iterative algorithm for solving a class of variational inclusions strong convergence of this algorithm is established under appropriate assumptions on the parameters estimate of its convergence rate is also provided

iterative algorithms for a new system of nonlinear variational inclusions with a η accretive mappings in banach spaces in this paper we introduce and study a new system of nonlinear variational inclusions with a h accretive mappings in banach spaces by using the resolvent operator associated with a h accretive mappings we construct some new iterative algorithms for approximating the solution of this system of variational inclusions we also prove the existence of solutions and the convergence of the sequences generated by the algorithm in banach spaces the results presented in this paper extend and improve some known results in the literature

graph convergence for the h accretive operator in banach spaces with an application abstract in this paper a concept of graph convergence concerned with the h accretive operator is introduced in banach spaces and some equivalence theorems between of graph convergence and resolvent operator convergence for the h accretive operator sequence are proved as an application a perturbed algorithm for solving a class of variational inclusions involving the h accretive operator is constructed under some suitable conditions the existence of the solution for the variational inclusions and the convergence of iterative sequence generated by the perturbed algorithm are also given

approximation solvability of a class of a monotone implicit variational inclusion problems in semi inner product spaces abstract this paper deals with the existence of solutions for a class of nonlinear implicit variational inclusion problems in semi inner product spaces we construct an iterative algorithm for approximating the solution for the class of implicit variational inclusions problems involving a monotone and h monotone operators by using the generalized resolvent operator technique

generalized nonlinear mixed quasi variational inequalities abstract in this paper we introduce and study a new class of quasi variational inequalities which is called the generalized nonlinear set valued mixed quasi variational inequality using the resolvent operator technique for maximal monotone mapping we construct some new iterative algorithms for solving this class of generalized nonlinear set valued mixed quasi variational inequalities we prove the existence of solution for this kind of generalized nonlinear set valued mixed quasivariational inequalities without compactness and the convergence of iterative sequences generated by the algorithms we also discuss the convergence and stability of perturbed iterative algorithm for solving a class of generalized nonlinear mixed quasi variational inequalities

iterative algorithm for generalized quasi variational like inclusions with fuzzy mappings in banach spaces in this paper we introduce and study a class of generalized quasi variational like inclusions with fuzzy mappings in real banach spaces and show its equivalence with a class of relations using this equivalence we suggest and analyze an iterative algorithm for finding the approximate solution of this class of inclusions further we prove the existence of solution of this class of inclusions and discuss the convergence criteria of iterative sequences generated by the iterative algorithm

perturbed algorithms and sensitivity analysis for a general class of variational inclusions in the present paper we study a perturbed iterative method for solving a general class of variational inclusions an existence result which generalizes some known results in this field a convergence result and a new iterative method are given we also prove the continuity of the perturbed solution to a parametric variational inclusion problem several special cases are discussed

on the center problem for ordinary differential equations we study the center problem for equations v i 1 a i x v i 1 this problem is closely connected to the classical poincare center focus problem about the characterization of planar polynomial vector fields whose integral trajectories are closed curves with interiors containing a fixed point a center

generalized nonlinear quasi variational inclusions in banach spaces this paper introduces a new class of generalized nonlinear quasi variational inclusions involving generalized m accretive mappings in p uniformly smooth real banach spaces by using the resolvent operator technique for generalized m accretive mappings due to huang et al n j huang y p fang c x deng nonlinear variational inclusions involving generalized m accretive mappings in proceedings of the bellman continuum international workshop on uncertain systems and soft computing beijing china july 24 27 2002 pp 323 327 and nadler theorem s b nadler jr multivalued contraction mappings pacific j math 30 1969 475 488 we construct an iterative algorithm for solving generalized nonlinear quasi variational inclusions with strongly accretive and relaxed accretive mappings in p uniformly smooth real banach spaces then we prove the existence of solutions for our inclusions without compactness assumption and convergence of the iterative sequences generated by the algorithm in p uniformly smooth real banach spaces some special cases are also discussed

system of generalized variational inclusions with h accretive operators in uniformly smooth banach spaces in this paper we consider and study a system of generalized variational inclusions with h accretive operators in uniformly smooth banach spaces we prove the convergence of iterative algorithm for this system of generalized variational inclusions a new definition of h resolvent operator as a retraction is introduced and in support of the definition we have constructed an example and a numerical example through matlab programming some special cases are also discussed

oka properties of ball complements let n 1 be an integer we prove that holomorphic maps from stein manifolds x of dimension n to the complement mathbb c n setminus l of a compact convex set l subset mathbb c n satisfy the basic oka property with approximation and interpolation if l is polynomially convex then the same holds when 2 dim x le n we also construct proper holomorphic maps immersions and embeddings x rightarrow mathbb c n with additional control of the range thereby extending classical results of remmert bishop and narasimhan

convergence and stability of iterative algorithm for a new system of a η accretive mapping inclusions in banach spaces in this paper we introduce and study a new system of a h accretive mapping inclusions in banach spaces using the resolvent operator associated with a h accretive mappings we suggest a new general algorithm and establish the existence and uniqueness of solutions for this system of a h accretive mapping inclusions under certain conditions we discuss the convergence and stability of iterative sequence generated by the algorithm our results extend improve and unify many known results on variational inequalities and variational inclusions

fuzzy neighborhood spaces abstract in this paper we introduce a subcategory of the category of fuzzy topological spaces and we prove basic properties of this subcategory the main idea behind these spaces is the notion of fuzzy neighborhoods which enables us to introduce a local theory of fuzzy topologies

a short note on fuzzy neighbourhood spaces abstract lowen introduced the concept of fuzzy neighbourhood spaces fns s and proved that the family of level topologies of a fns is an antichain wuyts characterized fns s as being those fully stratified fuzzy topological spaces fts s whose level topologies form antichains and whose fuzzy topologies are the finest possible for thier level topologies mashhour et al introduced the axiom of structure a on fts s and derived for it several characterizations and fuzzy topological consequences we use those characterizations of structure a and wuyts characterization of fns s to prove that a fts is a fns iff it is of structure a and fully stratified

mann and ishikawa type perturbed iterative algorithms for generalized nonlinear implicit quasi variational inclusions abstract in this paper we introduce a new class of generalized nonlinear implicit quasi variational inclusions and prove its equivalence with a class of fixed point problems by making use of the properties of maximal monotone we also prove the existence of solutions for this generalized nonlinear implicit quasi variational inclusions and the convergence of iterative sequences generated by the perturbed algorithms

fuzzy uniform spaces in this paper we introduce the notion of fuzzy uniform spaces in section 2 we give some basic results and show how a fuzzy topology is derived from a fuzzy uniformity in sections 3 and 4 we prove that the notions which are introduced are good extensions and we prove that the category of uniform spaces is nicely injected in the category of fuzzy uniform spaces finally in section 5 we prove some basic results

the studies of systems of variational inclusions problems and variational disclusions problems with applications abstract in this paper we study existence theorems of solutions for systems of variational inclusions problems and systems of variational disclusions problems from these existence results we establish existence theorems of solutions for systems of generalized vector quasiequilibrium problems and systems of quasioptimization problems

on a new system of generalized mixed quasi variational like inclusions with h η accretive operators in real q uniformly smooth banach spaces abstract in this paper we introduce and study a new system of generalized mixed quasi variational like inclusions with h accretive operators which contains variational inequalities variational inclusions systems of variational inequalities and systems of variational inclusions in the literature as special cases by using the resolvent technique for the h accretive operators we prove the existence of solutions and the convergence of a new p step iterative algorithm for this system of generalized mixed quasi variational like inclusions in real q uniformly smooth banach spaces the results in this paper unify extend and improve some known results from the literature