On approximate homomorphisms: A fixed point approach

DOI10.1186/2251-7456-6-59zbMath1271.39023OpenAlexW2115956132WikidataQ59272440 ScholiaQ59272440MaRDI QIDQ2391742

Zahra Alizadeh, Chun-Gil Park, Madjid Eshaghi-Gordji, Hamid Khodaei

Publication date: 5 August 2013

Published in: Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/2251-7456-6-59

zbMATH Keywords

Banach algebraHyers-Ulam stabilityquadratic functional equationfixed point methodsuperstabilityquartic functional equationadditive functional equationcubic functional equationapproximate homomorphism

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)

Related Items (9)

Selections of generalized convex set-valued functions satisfying some inclusions ⋮ On selections of set-valued Euler-Lagrange inclusions with applications ⋮ Approximate Generalized Additive-Quadratic Functional Equations on Ternary Banach Algebras ⋮ On approximate ternary \(m\)-derivations and \(\sigma\)-homomorphisms ⋮ On Selections of Some Generalized Set-Valued Inclusions ⋮ Fixed points and functional equations connected with derivations on Banach algebras ⋮ On the stability of additive, quadratic, cubic and quartic set-valued functional equations ⋮ Unnamed Item ⋮ Fuzzy approximate \(m\)-mappings in quasi fuzzy normed spaces

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