the completion of a fuzzy normed linear space abstract the concept of a fuzzy normed linear space was introduced in an earlier paper by the author finite dimensional fuzzy normed linear space fuzzy sets and systems 48 1992 239 248 it was shown therein that any finite dimensional fuzzy normed linear space is necessarily complete there do exist incomplete fuzzy normed linear spaces incompleteness is shown to have handicaps see section 3 there is a need for completion in the sense of enlarging the incomplete space so that the given space is embedded in the enlarged space it is shown in this paper see theorem 3 that this is really possible

a fixed point approach to almost quartic mappings in quasi fuzzy normed spaces we will define a notion for a quasi fuzzy p normed space then we use the fixed point alternative theorem to establish hyers ulam rassias stability of the quartic functional equation where functions map a linear space into a complete quasi fuzzy p normed space later we will show that there exists a close relationship between the fuzzy continuity behavior of a fuzzy almost quartic function control function and the unique quartic mapping which approximates the almost quartic map finally some applications of our results in the stability of quartic mappings from a linear space into a quasi p norm space will be exhibited

fuzzy bounded linear operators in felbin s type fuzzy normed linear spaces in this paper definitions of strongly fuzzy bounded linear operator and weakly fuzzy bounded linear operators are given and the idea of their fuzzy norms are introduced the concept of fuzzy dual spaces are introduced and the hahn banach theorem is established in fuzzy setting

perturbation of generalized derivations in fuzzy menger normed algebras in this paper we introduce a notion for fuzzy menger normed algebra then we will investigate continuity of algebraic operations in this space we will show that the class of all fuzzy menger normed algebras strictly contains the class of normed algebras finally we will prove hyers ulam rassias superstability of generalized derivation functional equationf ax by vw af x bf y vf w g v w x y v email protected x 0 a email protected c in complete fuzzy menger normed algebras a few applications of our results will be exhibited

some fixed point theorems in fuzzy normed linear spaces in this paper the concepts of sectional fuzzy continuous mappings l fuzzy compact sets asymptotic fuzzy normal structure and strong uniformly convex fuzzy normed linear spaces have been introduced schauder type and other fixed point theorems have been established in fuzzy normed linear spaces

fuzzy stability of a functional equation associated with inner product spaces moslehian et al investigated the fuzzy stability problems for the cauchy additive functional equation and the jensen additive functional equation in fuzzy banach spaces in this paper we prove the generalized hyers ulam stability of a functional equation associated with inner product spaces in fuzzy banach spaces

on the topological structure of km fuzzy metric spaces and normed spaces in this paper some relations among the axioms of km fuzzy metric spaces and km fuzzy normed spaces are discussed and some characterizations concerning the additional axiom are given also a quasi metric family and a quasi norm family corresponding respectively to the km fuzzy metric spaces and the km fuzzy normed spaces are introduced and studied using their properties the different topological structures of km fuzzy metric spaces and km fuzzy normed spaces with variable t norm are described and some new properties on these spaces are obtained as their special cases the topological structures and properties concerning gv fuzzy metric spaces and gv fuzzy normed spaces are presented

fuzzy bounded linear operators in this paper a notion of boundedness of a linear operator from a fuzzy normed linear space to another fuzzy normed linear space is introduced and two types strong and weak of fuzzy bounded linear operators are defined relation between fuzzy continuity and fuzzy boundedness is studied definitions of fuzzy bounded linear functionals are given and the notions of fuzzy dual spaces are developed the hahn banach theorem the open mapping theorem the closed graph theorem and the uniform boundedness principle theorem are established

fuzzy approximately cubic mappings we establish some stability results concerning the cubic functional equationf 2x y f 2x y 2f x y 2f x y 12f x in fuzzy normed spaces we discuss the fuzzy continuity of the cubic mappings and show that the existence of a solution for any approximately cubic mapping guarantees the completeness of the fuzzy normed space

a comparative study of fuzzy norms on a linear space in this paper a comparative study among several types of fuzzy norms on a linear space defined by various authors has been made and it is shown that broadly they may be classified into two types one of which is katsaras s type and the other is felbin s type

unified graph based multi fluid model for gas liquid pipeline flows we present a novel model of transient multiphase flow for gas liquid mixtures in long pipelines the study develops a general flexible formulation of a one dimensional flow for complex multiphase mixtures in the presence of slip and mass exchange multi fluid and drift flux approaches are combined the multi fluid model governs the momentum balance for the fluids and drift flux correlations are used for modelling of the slip between individual components a tree like graph is introduced to describe the hierarchy of fluids and components within the mixture the numerical implementation for an arbitrary number of components is based on the extension of the semi implicit method for pressure linked equations imbalances of equations are selected as criteria for iteration convergence specific corrections are discussed including those proposed for the equilibrium gas release model

on fuzzy metric spaces abstract in this paper we introduce the concept of a fuzzy metric space the distance between two points in a fuzzy metric space is a non negative upper semicontinuous normal and convex fuzzy number properties of fuzzy metric spaces are studied and some fixed point theorems are proved

fuzzy versions of hyers ulam rassias theorem we introduce three reasonable versions of fuzzy approximately additive functions in fuzzy normed spaces more precisely we show under some suitable conditions that an approximately additive function can be approximated by an additive mapping in a fuzzy sense

schauder bases and approximation property in fuzzy normed spaces our aim in this article is to introduce and study the notion of weak and strong schauder bases in fuzzy normed spaces further we introduce strong and weak fuzzy approximation properties and set a relationship between these two new notions which may provide an acceleration to the structural analysis of fuzzy normed spaces

on generalized fuzzy normed spaces and coincidence point theorems in this paper generalized fuzzy norms are defined on a set of objects endowed with a structure of linear space the relationships between these fuzzy norms and the fuzzy metrics and between these fuzzy norms and the topological structures on the base linear space are analyzed finally coincidence and fixed point theorems for mappings with values in fuzzy metric spaces and in such fuzzy normed spaces are proved

separation of fuzzy normed linear spaces abstract this paper deals with hausdorff separation axiom for fuzzy topological spaces the necessary and sufficient condition obtained in the fuzzy vector topology induced by a fuzzy norm is separated properties of separated and non separated fuzzy norms along with examples are studied separation of a fuzzy norm in terms of the ordinary norm it induces and its consequences are characterised separation of quotient fuzzy semi norm is studied

fuzzy topological vector spaces ii abstract some of the properties of fuzzy topological vector spaces are investigated also there are given necessary and sufficient conditions for a family of fuzzy sets in a vector space e to be the family of all neighborhoods of zero for a fuzzy linear topology

finite dimensional fuzzy normed linear space abstract the concept of a fuzzy normed linear space is introduced it is proved that in a finite dimensional fuzzy normed linear space fuzzy norms are the same upto fuzzy equivalence finite dimensional fuzzy subspaces of a fuzzy normed linear space are proved to be necessarily complete fuzzy normed linear spaces

characterizations of metrizable topological vector spaces and their asymmetric generalizations in terms of fuzzy quasi norms we obtain characterizations of those paratopological vector spaces that are quasi metrizable locally bounded quasi metrizable locally convex and quasi normable respectively in terms of appropriate kinds of fuzzy quasi norms characterizations of distinguished kinds of metrizable topological vector spaces some of them known already are deduced as particular cases of our approach

on fuzzy approximately cubic type mapping in fuzzy banach spaces abstract the first study of the fuzzy approximately cubic mappings in nonlinear analysis is due to mirmostafaee and moslehian 2008 and a fuzzy version of a generalized hyers ulam rassias type stability for the cubic functional equation in the fuzzy normed linear space setting is presented in this note we give an alternative proof of this result using the fixed point method in probabilistic metric spaces moreover we investigate fuzzy generalized hyers ulam rassias stability of an n dimensional cubic type functional equation in fuzzy banach spaces

fuzzy stability of the jensen functional equation we establish a generalized hyers ulam rassias stability theorem in the fuzzy sense in particular we introduce the notion of fuzzy approximate jensen mapping and prove that if a fuzzy approximate jensen mapping is continuous at a point then we can approximate it by an everywhere continuous jensen mapping as a fuzzy version of a theorem of schwaiger we also show that if every fuzzy approximate jensen type mapping from the natural numbers into a fuzzy normed space can be approximated by an additive mapping then the fuzzy norm is complete

stability of additive mappings in non archimedean fuzzy normed spaces in this paper we introduce a notion of a non archimedean fuzzy norm and study the stability of the cauchy equation in the context of non archimedean fuzzy spaces in the spirit of hyers ulam rassias gavruta as a corollary the stability of the jensen equation is established we indeed present an interdisciplinary relation between the theory of fuzzy spaces the theory of non archimedean spaces and the theory of functional equations

fuzzy normed space of operators and its completeness in this paper the new definition of the fuzzy norm of a linear operator from one fuzzy normed linear space into another is introduced and the boundedness of such an operator is described furthermore the space of all bounded linear operators endowed with this fuzzy norm is studied consequently its topological structure as well as completeness is given and that it can itself be made into a fuzzy normed linear space is also shown

joint timing and channel estimation for bandlimited long code based mc ds cdma a low complexity near optimal algorithm and the crlb joint timing and channel estimation jtce for bandlimited long code aided multi carrier direct sequence code division multiple access mc ds cdma systems is investigated we establish the optimal multiuser timing and channel estimates for the uplink mc ds cdma receiver by minimising a weighted least squares cost function with respect to k independent parameters where k is the number of active users a guided random search procedure known as repeated weighted boosting search rwbs is invoked for numerically solving this challenging multivariate optimisation problem and thereby for producing near optimal timing and channel estimates the cramer rao lower bound crlb for the jtce problem of interest is derived to benchmark the performance of the proposed rwbs based estimator quantitatively for the scenario of k 10 users e b n 0 3 db where e b is the energy per bit and n 0 the single sided noise power spectral density and for a near far ratio of 10 db the rwbs based estimator using an observation window of 20 symbols is shown to approach the crlb at a complexity 10 orders of magnitude lower in comparison to its full maximum likelihood search based counterpart the proposed algorithm does not require the transmission of known pilots yet it is capable of handling time variant channel states