A fixed point approach to the Hyers-Ulam stability of a functional equation in various normed spaces

DOI10.1186/1687-1812-2011-67zbMath1278.39038OpenAlexW2165721789WikidataQ59268048 ScholiaQ59268048MaRDI QIDQ359773

Hassan Azadi Kenary, Sun Young Jang, Chun-Gil Park

Publication date: 22 August 2013

Published in: Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-1812-2011-67

zbMATH Keywords

Hyers-Ulam stabilityfixed point methodfuzzy normed spacerandom normed spacenon-Archimedean normed space

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) Functional analysis in probabilistic metric linear spaces (46S50)

Related Items (12)

Stability and common stability for the systems of linear equations and its applications ⋮ A fixed point approach to the stability of an AQ-functional equation on \(\beta\)-Banach modules ⋮ On the stability of set-valued functional equations with the fixed point alternative ⋮ Unnamed Item ⋮ Existence and stability analysis of \(n\)th order multi term fractional delay differential equation ⋮ On the stability of a generalization of Jensen functional equation ⋮ Convergence properties and fixed points of two general iterative schemes with composed maps in Banach spaces with applications to guaranteed global stability ⋮ Ulam-Hyers-Rassias stability of a nonlinear stochastic Ito-Volterra integral equation ⋮ Ulam-Hyers-Rassias stability of a nonlinear stochastic integral equation of Volterra type ⋮ Equivalence of semistability of Picard, Mann, Krasnoselskij and Ishikawa iterations ⋮ The fixed point alternative and Hyers-Ulam stability of generalized additive set-valued functional equations ⋮ Generalized Hyers-Ulam stability for general additive functional equations on non-Archimedean random lie C*-algebras

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