partially ordered cone metric spaces and coupled fixed point results bhaskar and lakshmikantham t g bhaskar v lakshmikantham fixed point theorems in partially ordered metric spaces and applications nonlinear anal 65 2006 1379 1393 studied the coupled coincidence point of a mapping f from xxx into x and a mapping g from x into x e karapinar e karapinar couple fixed point theorems for nonlinear contractions in cone metric spaces comput math appl 2010 doi 10 1016 j camwa 2010 03 062 proved some results of the coupled coincidence point of a mapping f from xxx into x and a mapping g from x into x over normal cones without regularity in the present paper we prove that coupled coincidence fixed point theorems over cone metric spaces are not necessarily normal our results generalize several well known comparable results in the literature

coupled fixed point theorems for multi valued nonlinear contraction mappings in partially ordered metric spaces abstract in this paper we establish two coupled fixed point theorems for multi valued nonlinear contraction mappings in partially ordered metric spaces the theorems presented extend some results due to ciric 2009 3 an example is given to illustrate the usability of our results

fixed points and approximate solutions for nonlinear operator equations we study a nonlinear operator equation and obtain a sequence of approximate solutions by extending the monotone iterative technique to new situations some examples and applications are presented

coupled fixed point results for ψ φ weakly contractive mappings in ordered g metric spaces in this paper we establish coupled coincidence and common coupled fixed point theorems for j f weakly contractive mappings in ordered g metric spaces presented theorems extend generalize and improve many existing results in the literature an example is given

coincidence and common fixed point theorems for a sequence of mappings in ordered metric spaces in this article the existence of coincidence points and common fixed points for a sequence of mappings satisfying generalized weakly contractive conditions which involves altering distance functions without exploiting the notion of continuity of any map involved therein in a ordered metric space is proved an example is given to support the usability of our results

approximation properties and approximate identities of ap g for a locally compact group g and 1 p let ap g be the figa talamanca herz algebra then the multiplier algebra ma p g of ap g is a dual space we say that ap g has the approximation property or simply ap in ma p g if there is a net u in ap g such that u 1 in the associated weak topology we prove that ap g has the ap in ma p g if and only if there exists a net a in ap g such that a a a ap g 0 uniformly for a in any compact subset of ap g consequently we have that if ap g has the ap in ma p g then ap g has the approximation property as a banach space in the sense of grothendieck for a discrete group g we also study the relationship between the ap of ap g in ma p g and the weak amenability of g

algebraic expressions for su 3 contains implies r 3 wigner coefficients for lambda 0 3 0 in this short paper an algebraic expression for lambda 0 x 3 0 reduction wigner coefficients in the su 3 superset of r 3 physical basis is obtained using a building up process the su 3 u functions are also given

existence of solutions to fuzzy differential equations with generalized hukuhara derivative via contractive like mapping principles abstract we study the existence and uniqueness of solution for fuzzy initial value problems in the setting of a generalized hukuhara derivative and by using some recent results of fixed point of weakly contractive mappings on partially ordered sets

coupled fixed point theorems for nonlinear contractions in partially ordered metric spaces abstract we introduce the concept of a mixed g monotone mapping and prove coupled coincidence and coupled common fixed point theorems for such nonlinear contractive mappings in partially ordered complete metric spaces presented theorems are generalizations of the recent fixed point theorems due to bhaskar and lakshmikantham t g bhaskar v lakshmikantham fixed point theorems in partially ordered metric spaces and applications nonlinear anal tma 65 2006 1379 1393 and include several recent developments

some special su 3 r 3 wigner coefficients and their application bargmann space expansions of oscillator functions are used to derive analytic expressions for su 3 r 3 wigner coefficients for the couplings 10 0 2 3 3 l3 0 and 10 20 3 3 l3 0 with arbitrary 3 3 these lead to expansions useful in nuclear cluster problems and are used to give a simple form for the su 3 irreducible tensor expansion of a scalar two body interaction an application which motivated this investigation

a new vector coherent state construction of su 3 supset so 3 wigner coefficients the new rotor coherent state construction of the su 3 algebra is used to derive simple expressions for su 3 so 3 wigner coefficients

the p approximation property for simple lie groups with finite center abstract we prove that for any 1 p the groups sl 3 r and sp 2 r do not have the p approximation property of an lee and ruan which implies in particular that they are not p weakly amenable it follows that the same holds for any connected simple lie group with finite center and real rank greater than 1 as well as for any lattice in it this extends haagerup and de laat s result for the ap which in this language corresponds to the case p 2

new fixed point theorems and applications of mixed monotone operator in this paper we study the uniqueness and existence of fixed point of mixed monotone operators in the partially ordered banach space the results extend and improve recent related results

some ordered fixed point results and the property p in 2010 kadelburg et al 7 by providing an example showed that a contraction in an ordered metric space is not necessarily a contraction in the classical sense thus fixed point results in ordered metric spaces are generalizations of ones in metric spaces in a sense in this paper we give some ordered fixed point results for convex contractions and special mappings which satisfy some contraction conditions also we give some results concerning the property p

coupled fixed point theorems for contractions in fuzzy metric spaces in the present work we prove a coupled fixed point theorem for contractive mappings in complete fuzzy metric spaces

fixed point theorems for weakly c contractive mappings in ordered metric spaces the purpose of this paper is to present some fixed point results for weakly c contractive mappings in a complete metric space endowed with a partial order

approximation properties for noncommutative lp spaces associated with lattices in lie groups abstract in 2010 lafforgue and de la salle gave examples of noncommutative l p spaces without the operator space approximation property oap and hence without the completely bounded approximation property cbap to this purpose they introduced the property of completely bounded approximation by schur multipliers on s p denoted ap p cb schur and proved that for p 1 4 3 4 the groups sl n z with n 3 do not have the ap p cb schur since for p 1 the ap p cb schur is weaker than the approximation property of haagerup and kraus ap these groups were also the first examples of exact groups without the ap recently haagerup and the author proved that also the group sp 2 r does not have the ap without using the ap p cb schur in this paper we prove that sp 2 r does not have the ap p cb schur for p 1 12 11 12 it follows that a large class of noncommutative l p spaces does not have the oap or cbap

coherent state theory of the noncompact symplectic group an extended coherent state theory is presented for the noncompact sp 3 r group which reveals a simple relationship between the sp 3 r algebra and its contracted u 3 boson limit the relationship is used to derive a remarkably accurate analytic expression for sp 3 r matrix elements for the generic lowest weight representations the expression is shown to be exact whenever the states involved are multiplicity free with respect to the u 3 subalgebra it is further shown how exact matrix elements are easily calculated in general dyson and holstein primakoff type u 3 boson expansions are given

fixed point theorems for generalized contractions in ordered metric spaces abstract the purpose of this paper is to present some fixed point results for self generalized contractions in ordered metric spaces our results generalize and extend some recent results of a c m ran m c reurings a c m ran m c reurings a fixed point theorem in partially ordered sets and some applications to matrix equations proc amer math soc 132 2004 1435 1443 j j nieto r rodriguez lopez j j nieto r rodriguez lopez contractive mapping theorems in partially ordered sets and applications to ordinary differential equations order 22 2005 223 239 j j nieto r rodriguez lopez existence and uniqueness of fixed points in partially ordered sets and applications to ordinary differential equations acta math sin engl ser 23 2007 2205 2212 j j nieto r l pouso r rodriguez lopez j j nieto r l pouso r rodriguez lopez fixed point theorem theorems in ordered abstract sets proc amer math soc 135 2007 2505 2517 a petrusel i a rus a petrusel i a rus fixed point theorems in ordered l spaces proc amer math soc 134 2006 411 418 and r p agarwal m a el gebeily d o regan r p agarwal m a el gebeily d o regan generalized contractions in partially ordered metric spaces appl anal in press as applications existence and uniqueness results for fredholm and volterra type integral equations are given

dynamical group of microscopic collective states iii coherent state representations in d dimensions the present series of papers deals with various realizations of the dynamical group spc 2d r of microscopic collective states for an a nucleon system in d 1 2 or 3 dimensions when these collective states are assumed to be invariant under the orthogonal group o n associated with the n a 1 relative jacobi vectors in this paper we further study the barut girardello representation proposed in the first two papers of the present series to show that it may be reformulated in terms of some coherent states by generalizing to spc 2d r a class of sp 2 r coherent states introduced by barut and girardello for such purpose our starting point is another coherent state representation namely the perelomov one previously considered by kramer we also propose a third new class of coherent states leading to holstein primakoff representation in a straightforward way we review various properties of these three classes of coherent states such as their reproducing kernel and measure explicit forms their gener

common fixed points of almost generalized contractive mappings in ordered metric spaces the existence theorems of common fixed points for two weakly increasing mappings satisfying an almost generalized contractive condition in ordered metric spaces are proved some comparative example are constructed which illustrate the values of the obtained results in comparison to some of the existing ones in literature

coincidence point theorem for generalized weakly contractions in ordered metric spaces abstract in this article we establish two coincidence point theorems for four mappings satisfying a generalized weakly contractive condition in ordered metric space and apply it to find new coincidence point and common fixed point results we furnish suitable examples to demonstrate the validity of the hypotheses of our results also we give an existence theorem for common solution of two integral equations

ordered cone metric spaces and fixed point results in this paper we introduce a partial order on a cone metric space and prove a caristi type theorem furthermore we prove fixed point theorems for single valued nondecreasing and weakly increasing mappings and multi valued mappings on an ordered cone metric space

fixed point results for mappings satisfying ψ φ weakly contractive condition in partially ordered metric spaces abstract we establish coincidence fixed point and common fixed point theorems for mappings satisfying weakly contractive condition in an ordered complete metric space some applications of our obtained results are given

fixed point theorems for mixed monotone operators and applications to integral equations abstract the purpose of this paper is to present some coupled fixed point theorems for a mixed monotone operator in a complete metric space endowed with a partial order by using altering distance functions we also present an application to integral equations

fixed point theorems for weakly contractive mappings in partially ordered sets abstract the purpose of this paper is to present some fixed point theorems for weakly contractive maps in a complete metric space endowed with a partial order

implementation of the u n tensor operator calculus in a vector bargmann hilbert space using a vector coherent state framework and an associated vector bargmann hilbert space 1961 the structure of two classes of u n u n 1 unit projective operators is shown to be intimately related to 6 j and 9 j coefficients of the u n 1 subalgebra explicit verification of limit properties for these operators allows the unambiguous assignment of a set of canonical operator labels

coupled common fixed point theorems for a pair of commuting mappings in partially ordered complete metric spaces abstract the purpose of this paper is to establish a coupled coincidence point for a pair of commuting mappings in partially ordered complete metric spaces we also present a result on the existence and uniqueness of coupled common fixed points an example is given to support the usability of our results

on ψ φ weakly contractive condition in partially ordered metric spaces recently heman kumar nashine and bessem samet h k nashine b samet fixed point results for mappings satisfying j f weakly contractive condition in partially ordered metric spaces nonlinear anal 74 2011 2201 2209 studied some coincidence fixed point and common fixed point theorems for two mappings satisfying j f weakly contractive condition in an ordered complete metric space in the present paper we study some coincidence fixed point and common fixed point theorems for three mappings s t and r satisfying j f weakly contractive condition in an ordered complete metric space where the mappings s and t are assumed to be weakly increasing with respect to r our results generalize several well known results in the literature

improved kinetic renormalisation group approach to diffusion limited aggregation an improved kinetic renormalisation group approach to diffusion limited aggregation is presented this approach is based on the growth process itself and accounts for the dispersity in the growth probabilities it yields the multifractal spectrum d q with better values at smaller q on the 2d square lattice the authors find df 1 694 for the fractal dimensions of the cluster and that of its interface and d 1 1 01 for the information dimension the former agrees with the simulation results df approximately 1 70 and the latter compares very well with the exact value d 1 1

canonical orthonormal basis for su 3 so 3 i construction of the basis a canonical orthonormal basis is given for generic representations of the group chain su 3 contains implies so 3

the contraction principle for set valued mappings on a metric space with a graph let x d be a metric space and f x x be a set valued mapping we obtain sufficient conditions for the existence of a fixed point of the mapping f in the metric space x endowed with a graph g such that the set v g of vertices of g coincides with x and the set of edges of g is e g x y x y xxx

fixed point theorems for generalized contractions in partially ordered metric spaces with semi monotone metric abstract in this paper we study the existence and uniqueness of coupled fixed points for mixed monotone mappings in partially ordered metric spaces with semi monotone metric as an application we prove the existence and uniqueness of the solution for a first order differential equation with periodic boundary conditions

some coincidence point results in ordered b metric spaces and applications in a system of integral equations the aim of this paper is to present some coincidence point results for four mappings satisfying generalized j f weakly contractive condition in the framework of ordered b metric spaces an example and an application are also provided to support our results

a rotor expansion of the su 3 lie algebra vector coherent state vcs theory is used to give a rotor expansion of the su 3 lie algebra in a way that parallels the boson expansions that have been made for other lie algebras the construction provides a systematic procedure for calculating hermitian matrix elements of su 3 in an so 3 coupled basis and represents a new development in vcs theory and in the theory of induced representations

multipliers of the fourier algebras of some simple lie groups and their discrete subgroups for any amenable locally compact group g the space of multipliers ma g of the fourier algebra a g coincides with the space b g of functions on g that are linear combinations of continuous positive definite functions we prove that ma g b g 0 for many non amenable connected groups more specifically we prove that moa g b g 0 for the classical complex lie groups and the general lorentz groups soo n 1 n 2 moa g is a certain subspace of ma g which we call the space of completely bounded multipliers of a g unlike ma g the space moa g has nice stability properties with respect to direct products of groups it is known that the fourier algebra of the free group on n generators n 2 2 admits an unbounded approximate unit pn which is bounded in the multiplier norm we extend this result to any closed subgroup of the general lorentz group soo n 1 moreover we show that for these groups pn can be chosen to be bounded with respect to the moa g norm by a duality argument we obtain that the reduced c algebra of every discrete subgroup of soo n 1 has the completely bounded approximation property in particular this property holds for c f2 the reduced c algebra of the free group on two generators we also prove

canonical orthonormal basis for su 3 so 3 ii reduced matrix elements of the su 3 generators for pt i see ibid vol 18 p 1891 1985 a simple algorithm is given for the calculation of reduced matrix elements of the generators of the su 3 algebra in the canonical su 3 contains implies so 3 basis introduced in i

a double rotor coherent state construction of the wigner supermultiplet su 4 contains implies su 2 su 2 a double rotor vector coherent state construction of the su 4 3 su 2 x sup wigner supermultiplet leads to a simple matrix representation of this scheme matrix elements of the vector coherent state realizations of the group generators are given by very simple expressions in tem of ordinary spin s and isospin t wigner coefficients with intrinsic projection labels ks and kg the k mawix technique is used to effectively elevate these labels lo the status of good quantum numbers the kkt matrices bre given in analytic form for a number of impomt irreducible representations

a bozejko picardello type inequality for finite dimensional cat 0 cube complexes abstract we prove a bozejko picardello type inequality for finite dimensional cat 0 cube complexes and as a consequence we obtain that a group acting properly on a finite dimensional cat 0 cube complex is weakly amenable with the cowling haagerup constant 1

a family of singular oscillatory integral operators and failure of weak amenability a locally compact group g is said to be weakly amenable if the fourier algebra a g admits completely bounded approximative units new results concerning the family of semidirect products gn sl 2 r hn n 2 together with previously known results are used to settle the question of weak amenability for all real algebraic groups the groups gn fail to be weakly amenable to show this one follows an idea of haagerup for the case n 1 and one is led to the estimation of certain singular radon transforms with product type singularities by representation theory matters are reduced to a problem of obtaining rather nontrivial l bounds for a family of singular oscillatory integral operators in the plane with product type singularities and polynomial phases 1 weak amenability and g let g be a locally compact hausdorff topological group equipped with a left invariant haar measure written dx or dy in integrals we write l g for the usual lebesgue space of equivalence classes of functions on g in this section the symbol will denote the left regular representation of g on l g and f g will denote the convolution of functions f and g on g 1 1 the fourier algebra and pointwise multipliers a matrix coefficient of the left regular representation is a function of the form x 7 x h k h xy k y dy where h and k lie in l g the fourier algebra of g denoted by a g is defined to be the banach space of all these that is a g h k h k l g which is actually a linear space equipped with the norm a inf h 2 k 2 h k the infimum is in fact attained see 12 if g is abelian a function in a g is the fourier transform of a function in l where is the dual group of g all functions in a g are continuous and vanish at infinity the fourier algebra forms a commutative banach algebra under pointwise operations with gel fand spectrum g it has a unit the function 1 if and only if g is compact for proofs of these results and for much more information about the fourier algebra see the original article by eymard 12 or the book by pier 29 research for this paper was supported in part by the australian research council and the national science foundation typeset by ams tex 1 the group von neumann algebra vn g is defined to be the set of all bounded linear operators on l g commuting with right translations suppose that f l g we associate to f the left convolution operator f on l g defined by

couple fixed point theorems for nonlinear contractions in cone metric spaces the notion of coupled fixed point is introduced by bhaskar and lakshmikantham 2006 in 13 in this manuscript some results of lakshmikantham and ciric 2009 in 5 are extended to the class of cone metric spaces

generalized contractions in partially ordered metric spaces and applications to ordinary differential equations the purpose of this paper is to present some fixed point theorems in a complete metric space endowed with a partial order by using altering distance functions we also present some applications to first and second order ordinary differential equations

a coupled coincidence point result in partially ordered metric spaces for compatible mappings abstract in this paper we introduce the notion of compatibility of mappings in a partially ordered metric space and use this notion to establish a coupled coincidence point result our work extends the work of bhaskar and lakshmikantham t gnana bhaskar v lakshmikantham fixed point theorems in partially ordered metric spaces and applications nonlinear anal tma 65 2006 1379 1393 an example is also given

groups acting on trees and approximation properties of the fourier algebra let be a tree and g a locally compact group acting on by isometries with respect to the natural metric on we construct the series of representations of g parametrized by the complex unit disc associated canonically with the distance on via the matrix coefficients we apply this series to prove that for any group g acting on a tree in such a way that the stabilizer of a vertex is a compact subgroup of g the fourier algebra a g admits an approximate unit bounded in the multiplier norm on a g for the special case of semihomogeneous trees and the full group aut of isometries of we decompose the constructed representations obtaining finally an analytic continuation of the principal series of aut

fixed point theorems for α ψ contractive type mappings abstract in this paper we introduce a new concept of contractive type mappings and establish fixed point theorems for such mappings in complete metric spaces starting from the banach contraction principle the presented theorems extend generalize and improve many existing results in the literature moreover some examples and applications to ordinary differential equations are given here to illustrate the usability of the obtained results

vector coherent state theory and its application to the orthogonal groups vector coherent state theory is developed and presented in a form that explicitly exhibits its general applicability to the ladder representations of all semisimple lie groups and their lie algebras it is shown that in a suitable basis the vector coherent state inner product can be inferred algebraically by k matrix theory and changed to a simpler bargmann inner product thereby facilitating the explicit calculation of the matrix representaions of lie algebras applications are made to the even and odd orthogonal lie algebras

hilbert spaces of analytic functions and representations of the positive discrete series of sp 6 r hilbert spaces of analytic functions are constructed which carry irreducible representations of the positive discrete series of sp 6 r

coupled fixed point theorems for a generalized meir keeler contraction in partially ordered metric spaces abstract let x be a non empty set and f x x x be a given mapping an element x y x x is said to be a coupled fixed point of the mapping f if f x y x and f y x y in this paper we consider the case when x is a complete metric space endowed with a partial order we define generalized meir keeler type functions and we prove some coupled fixed point theorems under a generalized meir keeler contractive condition some applications of our obtained results are given the presented theorems extend and complement the recent fixed point theorems due to bhaskar and lakshmikantham t gnana bhaskar v lakshmikantham fixed point theorems in partially ordered metric spaces and applications nonlinear anal 65 2006 1379 1393

completely bounded multipliers of the fourier algebra of a simple lie group of real rank one the fourier algebra a g of a locally compact group g is the space of matrix coefficients of the regular representation and is the predual of the yon neumann algebra vn g generated by the regular representation of g on l 2 g a multiplier m of a g is a bounded operator on a g given by pointwise multiplication by a function on g also denoted m we say m is a completely bounded multiplier ofa g if the transposed operator on vn g is completely bounded definition below it may be possible to find a net ofa g functions m i ie i say such that mi tends to

partially coherent states of the real symplectic group in the present paper we introduce partially coherent states for the positive discrete series irreducible representations d n 2 1 n 2 of sp 2d r encountered in physical applications these states are characterized by both continuous and discrete labels the latter specify the row of the irreducible representation 1 2 d of the maximal compact subgroup u d while the former parametrize an element of the factor space sp 2d r h where h is the sp 2d r subgroup leaving the 1 2 d representation space invariant we consider three classes of partially coherent states respectively generalizing the perelomov and barut girardello coherent states as well as some recently introduced intermediate coherent states we prove that each family of partially coherent states forms an overcomplete set in the representation space of d n 2 1 n 2 and study its generating function properties we show that it leads to a representation of the sp 2d r generators in the form of differential operato

coupled fixed points in partially ordered metric spaces and application abstract in this paper we prove some coupled fixed point theorems for mappings having a mixed monotone property in partially ordered metric spaces the main results of this paper are generalizations of the main results of bhaskar and lakshmikantham t gnana bhaskar v lakshmikantham fixed point theorems in partially ordered metric spaces and applications nonlinear anal tma 65 2006 1379 1393 as an application we discuss the existence and uniqueness for a solution of a nonlinear integral equation

coupled fixed point results for ψ φ weakly contractive condition in ordered partial metric spaces in this paper we prove some coupled fixed point theorems involving a j f weakly contractive condition for mapping having the mixed monotone property in ordered partial metric spaces these results are analogous to theorems of van luong and xuan thuan 2011 10 on the class of ordered partial metric spaces also an application is given to support our results

new fixed point results for maps satisfying implicit relations on ordered metric spaces and application we give some fixed point results for one and two mappings satisfying an implicit relation involving control function on ordered complete metric spaces we furnish suitable examples to demonstrate the validity of the hypotheses of our results we also give an application of our results to nonlinear volterra integro differential equations

fixed point theorems in partially ordered metric spaces and applications abstract we prove a fixed point theorem for a mixed monotone mapping in a metric space endowed with partial order using a weak contractivity type of assumption besides including several recent developments our theorem can be used to investigate a large class of problems as an application we discuss the existence and uniqueness of solution for a periodic boundary value problem

induced shift tensors in vector coherent state theory it is shown that the so called shift tensors of biedenharn and louck have a natural expression within the framework of vector coherent state vcs theory vcs theory was developed to give a systematic construction of the representations of lie groups and to derive the corresponding matrices representing the elements of their lie algebras in this paper there are explicit realizations of shift tensors within the framework of vcs theory for semisimple lie groups in terms of shift tensors for suitably defined subgroups

an extension of coupled fixed point s concept in higher dimension and applications we introduce the concept of fixed point of n order for mappings f x n x where n 2 and x is an ordered set endowed with a metric d we establish fixed point results for such mappings satisfying a given contractive condition presented theorems extend and generalize the coupled fixed point results of bhaskar and lakshmikantham t gnana bhaskar v lakshmikantham fixed point theorems in partially ordered metric spaces and applications nonlinear anal 65 7 2006 1379 1393 and the tripled fixed point results of berinde and borcut v berinde m borcut tripled fixed point theorems for contractive type mappings in partially ordered metric spaces nonlinear anal 74 2011 4889 4897 some applications to integral equations and to matrix equations are also presented in this work