Fixed points and quartic functional equations in \(\beta\)-Banach modules

DOI10.1007/S00025-011-0135-8zbMath1267.39021OpenAlexW1989496935MaRDI QIDQ692511

Hamid Khodaei, Abbas Najati, Madjid Eshaghi-Gordji

Publication date: 6 December 2012

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

Full work available at URL: https://doi.org/10.1007/s00025-011-0135-8

zbMATH Keywords

fixed point methodgeneralized Hyers-Ulam stabilityquartic 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)

A fixed point approach to the stability of an AQ-functional equation on \(\beta\)-Banach modules ⋮ Superstability of an exponential equation in \(C^*\)-algebras ⋮ Approximate \((\alpha ,\beta ,\gamma )\)-derivation on random Lie \(C^*\)-algebras

Cites Work

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• On the stability of \(J^*\)-derivations
• On the stability of a quartic functional equation
• On the Stability of the Linear Mapping in Banach Spaces
• On some fixed points theorems in generalized complete metric spaces
• On the Stability of the Linear Functional Equation

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