A fixed point approach to the stability of an AQ-functional equation on \(\beta\)-Banach modules

DOI10.1186/1687-1812-2012-32zbMath1276.39022OpenAlexW2148282301WikidataQ59271027 ScholiaQ59271027MaRDI QIDQ368414

Tian-Zhou Xu, John Michael S. Rassias

Publication date: 23 September 2013

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

Full work available at URL: https://doi.org/10.1186/1687-1812-2012-32

zbMATH Keywords

Hyers-Ulam stabilityunital Banach algebraBanach modulefixed point methodgeneralized metric spaceAQ-functional equationmixed additive and quadratic functional equation

Mathematics Subject Classification ID

Stability, separation, extension, and related topics for functional equations (39B82) Functional equations for functions with more general domains and/or ranges (39B52) Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX) (46H25)

Related Items (3)

Stability of general multi-Euler-Lagrange quadratic functional equations in non-Archimedean fuzzy normed spaces ⋮ Stability of functional equation obtained through a fixed-point alternative in intuitionistic fuzzy normed spaces ⋮ Some properties of distances and best proximity points of cyclic proximal contractions in metric spaces

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