Fixed points and stability for quadratic mappings in \(\beta\)-normed left Banach modules on Banach algebras

DOI10.1007/s00025-011-0123-zzbMath1276.39016OpenAlexW1995865062MaRDI QIDQ1930337

Themistocles M. Rassias, Hamid Khodaei, Madjid Eshaghi-Gordji

Publication date: 10 January 2013

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-011-0123-z

zbMATH Keywords

quadratic functional equationunital Banach algebraBanach modulefixed point methodgeneralized metric spacegeneralized Hyers-Ulam stability

Mathematics Subject Classification ID

Fixed-point theorems (47H10) 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

On the stability of set-valued functional equations with the fixed point alternative, A fixed point approach to the Hyers-Ulam stability of an AQ functional equation on \({\beta}\)-Banach modules, Nearly quadratic mappings over \(p\)-adic fields

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