Local stability of the pexiderized Cauchy and Jensen's equations in fuzzy spaces

DOI10.1186/1029-242X-2011-78zbMath1272.39022WikidataQ59268205 ScholiaQ59268205MaRDI QIDQ357691

Jung Im Kang, Yeol Je Cho, Abbas Najati

Publication date: 13 August 2013

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

zbMATH Keywords

generalized Hyers-Ulam stabilityJensen functional equationnon-Archimedean spaceBanach fuzzy spacepexiderized Cauchy functional equation

Mathematics Subject Classification ID

Stability, separation, extension, and related topics for functional equations (39B82) Functional analysis over fields other than (mathbb{R}) or (mathbb{C}) or the quaternions; non-Archimedean functional analysis (46S10) Functional equations for functions with more general domains and/or ranges (39B52) Fuzzy functional analysis (46S40)

Related Items

Non-Archimedean Hyers-Ulam-Rassias stability of m-variable functional equation ⋮ Hyers-Ulam stability of derivations on proper Jordan \(CQ^*\)-algebras ⋮ On the stability of set-valued functional equations with the fixed point alternative ⋮ On the generalized Hyers-Ulam-Rassias stability problem of radical functional equations ⋮ Orthogonal stability of functional equations with the fixed point alternative ⋮ Almost Jordan homomorphisms and Jordan derivations associated to the parametric-additive functional equation on fuzzy Banach algebras ⋮ Unnamed Item ⋮ STABILITY OF THE JENSEN FUNCTIONAL EQUATION IN FUZZY BANACH ALGEBRAS ⋮ The Hyers-Ulam-Rassias stability of the quartic functional equation in fuzzy \(\beta\)-normed spaces

Cites Work

• Fuzzy versions of Hyers-Ulam-Rassias theorem
• Fuzzy stability of the Jensen functional equation
• The fixed point method for fuzzy stability of the Jensen functional equation
• A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings
• On the stability of functional equations and a problem of Ulam
• On the stability of functional equations in Banach spaces
• Comments on the core of the direct method for proving Hyers-Ulam stability of functional equations
• Hyers-Ulam stability of functional equations in several variables
• Stability of a functional equation deriving from quadratic and additive functions in quasi-banach spaces
• Hyers-Ulam-Rassias stability of homomorphisms in quasi-Banach algebras associated to the Pexiderized Cauchy functional equation
• On the stability of the linear transformation in Banach spaces
• FUZZY STABILITY OF A GENERALIZED QUADRATIC FUNCTIONAL EQUATION
• The space of (𝜓,𝛾)–additive mappings on semigroups
• Une condition ctexistence et d'unicitépour les solutions fortes d'équations différentielles stochastiques
• Hyers-Ulam-Rassias stability of Jensen’s equation and its application
• On the asymptoticity aspect of Hyers-Ulam stability of mappings
• A New Functional Equation of Pexider Type Related to the Complex Exponential Function
• Classes of transformations and bordering transformations
• On the Stability of the Linear Functional Equation