Approximation of a generalized additive mapping in multi-Banach modules and isomorphisms in multi-\(C^\ast\)-algebras: a fixed-point approach

DOI10.1186/1687-1847-2012-162zbMath1377.39038OpenAlexW2165149652WikidataQ59288286 ScholiaQ59288286MaRDI QIDQ1690800

Reza Saadati, Chun-Gil Park

Publication date: 12 January 2018

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-1847-2012-162

zbMATH Keywords

fixed pointgeneralized Hyers-Ulam stabilitygeneralized additive functional equation\(C^\ast\)-algebra isomorphismmulti-Banach module over multi-\(C^\ast\)-algebra

Mathematics Subject Classification ID

Fixed-point theorems (47H10) General theory of (C^*)-algebras (46L05) Linear operators on Banach algebras (47B48) Functional equations for functions with more general domains and/or ranges (39B52)

Related Items (1)

Strong ergodic theorem for commutative semigroup of non-Lipschitzian mappings in multi-Banach space

Cites Work

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• Hyers-Ulam-Rassias stability of functional equations in nonlinear analysis
• Asymptotic aspect of the quadratic functional equation in multi-normed spaces
• A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings
• On the stability of functional equations and a problem of Ulam
• On the stability of the linear mapping in Banach modules
• Generalized additive mapping in Banach modules and isomorphisms between \(C^{\ast}\)-algebras
• Multi-normed spaces
• On the Stability of the Linear Mapping in Banach Spaces
• A fixed point theorem of the alternative, for contractions on a generalized complete metric space
• STABILITY OF MAPPINGS ON MULTI-NORMED SPACES

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