Stability of Cauchy-Jensen type functional equation in generalized fuzzy normed spaces
type: Item
instance of: scholarly article
title: Stability of Cauchy-Jensen type functional equation in generalized fuzzy normed spaces
zbMATH Open document ID: 1232.46068
publication date: 2012-02-21T00:00:00Z
Mathematics Subject Classification ID: 39B82
Mathematics Subject Classification ID: 39B52
Mathematics Subject Classification ID: 46S40
Mathematics Subject Classification ID: 46S10
zbMATH DE Number: 6008583
zbMATH Keywords: generalized fuzzy normed space
zbMATH Keywords: fuzzy \(\varphi \)-normed space
zbMATH Keywords: non-archimedean fuzzy \(\varphi \)-normed space
zbMATH Keywords: Cauchy-Jensen equation
zbMATH Keywords: stability
author: Madjid Eshaghi Gordji
author: H. Khodaei
author: Mahdie Kamyar
MaRDI profile type: Publication
full work available at URL: j.camwa.2011.07.072
OpenAlex ID: W2062809929
cites work: Fuzzy sets
cites work: Q4458997
cites work: Fuzzy bounded linear operators
cites work: On the existence and uniqueness problems of solutions for set-valued and single-valued nonlinear operator equations in probabilistic normed spaces
cites work: Nonlinear equations for fuzzy mappings in probabilistic normed spaces
cites work: On \(I\)-topology generated by fuzzy norm
cites work: On some results in fuzzy metric spaces
cites work: Characterizing completable fuzzy metric spaces
cites work: A computer program for fuzzy reasoning
cites work: Bifurcations of fuzzy nonlinear dynamical systems
cites work: On set-valued nonlinear equations in Menger probabilistic normed spaces
cites work: On the \(\mathcal L\)-fuzzy topological spaces
cites work: Quicksort algorithm: application of a fixed point theorem in intuitionistic fuzzy quasi-metric spaces at a domain of words
cites work: On the intuitionistic fuzzy topological spaces
cites work: Q5511350
cites work: On the Stability of the Linear Functional Equation
cites work: On the stability of the linear transformation in Banach spaces
cites work: On the Stability of the Linear Mapping in Banach Spaces
cites work: On approximation of approximately linear mappings by linear mappings
cites work: The stability of homomorphisms and amenability, with applications to functional equations
cites work: A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings
cites work: Functional inequalities in non-Archimedean Banach spaces
cites work: On the stability of the quadratic mapping in normed spaces
cites work: Nearly ring homomorphisms and nearly ring derivations on non-Archimedean Banach algebras
cites work: The fixed point method for fuzzy approximation of a functional equation associated with inner product spaces
cites work: Solution and stability of generalized mixed type cubic, quadratic and additive functional equation in quasi-Banach spaces
cites work: Stability of a mixed type cubic-quartic functional equation in non-Archimedean spaces
cites work: Hyers-Ulam-Rassias stability of functional equations in mathematical analysis
cites work: On the asymptoticity aspect of Hyers-Ulam stability of mappings
cites work: Stability of Quartic Mappings in Non-Archimedean Normed Spaces
cites work: Refined Hyers--Ulam approximation of approximately Jensen type mappings
cites work: Solution of a problem of Ulam
cites work: On the stability of functional equations and a problem of Ulam
cites work: On the Hyers-Ulam stability of linear mappings
cites work: The fixed point method for fuzzy stability of the Jensen functional equation
cites work: The stability of the additive Cauchy functional equation in non-Archimedean fuzzy normed spaces
cites work: On the stability of the additive Cauchy functional equation in random normed spaces
cites work: The stability of the quartic functional equation in random normed spaces
cites work: Fuzzy stability of the Jensen functional equation
cites work: Fuzzy versions of Hyers-Ulam-Rassias theorem
cites work: Stability of additive mappings in non-archimedean fuzzy normed spaces
cites work: Fuzzy stability of a functional equation associated with inner product spaces
cites work: On stability of a cubic functional equation in intuitionistic fuzzy normed spaces
cites work: Stability of Jensen functional equation in intuitionistic fuzzy normed space
cites work: The stability of the quartic functional equation in various spaces
cites work: Non-Archimedean \(\mathcal L\)-fuzzy normed spaces and stability of functional equations
cites work: Stability of pexiderized quadratic functional equation in intuitionistic fuzzy normed space
cites work: Cauchy-Rassias stability of Cauchy-Jensen additive mappings in Banach spaces
cites work: Extended Hyers–Ulam stability for Cauchy–Jensen mappings†
cites work: Stability of homomorphisms for a 3D Cauchy-Jensen type functional equation on \(C^{*}\)-ternary algebras
cites work: Fixed points and Hyers--Ulam--Rassias stability of Cauchy--Jensen functional equations in Banach algebras
cites work: Stability of the Jensen-type functional equation in \(C^{\ast}\)-algebras: a fixed point approach
cites work: Q4003475
cites work: \(p\)-adic numbers: An introduction.
cites work: Q4841577
cites work: Q4211216
cites work: On generalized fuzzy normed spaces and coincidence point theorems
cites work: Q3143800
cites work: A couple of nonlinear equations with fuzzy mappings in fuzzy normed spaces

Stability of Cauchy-Jensen type functional equation in generalized fuzzy normed spaces (cites work)
cites work: Q3070666

Stability of Cauchy-Jensen type functional equation in generalized fuzzy normed spaces (cites work)
cites work: Approximation of Fuzzy Normed Space-Valued Functions

Stability of Cauchy-Jensen type functional equation in generalized fuzzy normed spaces (cites work)
cites work: Some remarks on functions with values in probabilistic normed spaces

Stability of Cauchy-Jensen type functional equation in generalized fuzzy normed spaces (cites work)
cites work: Q3551225

Stability of Cauchy-Jensen type functional equation in generalized fuzzy normed spaces (cites work)
cites work: Q3336431

Stability of Cauchy-Jensen type functional equation in generalized fuzzy normed spaces (DOI)
DOI: 10.1016/J.CAMWA.2011.07.072

Stability of Cauchy-Jensen type functional equation in generalized fuzzy normed spaces (published in)
published in: Computers & Mathematics with Applications