Approximation of homomorphisms and derivations on non-Archimedean random Lie \(C^\ast\)-algebras via fixed point method

DOI10.1186/1029-242X-2012-251zbMath1279.39015WikidataQ59272455 ScholiaQ59272455MaRDI QIDQ385816

Jung Im Kang, Reza Saadati

Publication date: 11 December 2013

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

zbMATH Keywords

fixed point methodgeneralized Hyers-Ulam stabilityadditive functional equationderivation on \(C^\ast\)-algebras and Lie \(C^\ast\)-algebrashomomorphism in \(C^\ast\)-algebras and Lie \(C^\ast\)-algebrasnon-Archimedean random space

Mathematics Subject Classification ID

Stability, separation, extension, and related topics for functional equations (39B82) Functional analysis over fields other than (mathbb{R}) or (mathbb{C}) or the quaternions; non-Archimedean functional analysis (46S10) Functional equations for functions with more general domains and/or ranges (39B52) Functional analysis in probabilistic metric linear spaces (46S50)

Related Items (11)

Generalized \((\alpha,\beta, \gamma)\)-derivations on Lie \(C^*\)-algebras ⋮ Approximation of the multiplicatives on random multi-normed space ⋮ Approximation of functional equations in intuitionistic fuzzy C ∗ -algebras ⋮ Application of fixed point theory for approximating of a positive-additive functional equation in intuitionistic random C*-algebras ⋮ Approximation of additive functional equations in NA Lie \(C^\star\)-algebras ⋮ On the stability of cubic and quadratic mapping in random normed spaces under arbitrary \(T\)-norms ⋮ Unnamed Item ⋮ Random \(C^{*}\)-ternary algebras and application ⋮ The cubic ρ-functional equation in matrix non-Archimedean random normed spaces ⋮ Generalized Hyers-Ulam stability for general additive functional equations on non-Archimedean random lie C*-algebras ⋮ Ulam-Hyers-Rassias stability for nonlinear \(\Psi\)-Hilfer stochastic fractional differential equation with uncertainty

Cites Work

• On the Hyers-Ulam-Rassias stability of an additive functional equation in quasi-Banach spaces
• The fixed point method for fuzzy stability of the Jensen functional equation
• The probabilistic stability for a functional equation in a single variable
• On approximation of approximately linear mappings by linear mappings
• A fixed point theorem of the alternative, for contractions on a generalized complete metric space
• On the stability of the additive Cauchy functional equation in random normed spaces

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