A fixed point approach to the stability of sextic Lie *-derivations

DOI10.2298/FIL1715933KzbMath1499.39120OpenAlexW2588348711MaRDI QIDQ5020932

Heejeong Koh, Dong Seung Kang

Publication date: 7 January 2022

Published in: Filomat (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2298/fil1715933k

zbMATH Keywords

Hyers-Ulam-Rassias stabilityBanach \(\ast\)-algebrafixed point alternativeLie \(\ast\)-derivationsextic mapping

Mathematics Subject Classification ID

Stability, separation, extension, and related topics for functional equations (39B82) Automorphisms, derivations, other operators for Lie algebras and super algebras (17B40) Functional equations for functions with more general domains and/or ranges (39B52) Derivations, actions of Lie algebras (16W25) Derivations, dissipations and positive semigroups in (C^*)-algebras (46L57)

Related Items (3)

Heat kernel method for quintic and sextic equations in distributions and hyperfunctions ⋮ Unnamed Item ⋮ Approximate reciprocal Lie \(\star \)-derivations

Cites Work

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• On the stability of \(\ast\)-derivations on Banach \(\ast\)-algebras
• Approximate *-derivations and approximate quadratic *-derivations on \(C^*\)-algebras
• Fixed point theory and the Ulam stability
• A generalized mixed quadratic-quartic functional equation
• Approximate cubic \(\ast\)-derivations on Banach \(\ast\)-algebras
• A fixed point approach to the stability of quintic and sextic functional equations in quasi-\(\beta \)-normed spaces
• Hyers-Ulam-Rassias stability of functional equations in nonlinear analysis
• A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings
• Stability of \(\Psi\)-additive mappings: Applications to nonlinear analysis
• On some recent developments in Ulam's type stability
• Approximate cubic Lie derivations
• Fixed points and Hyers--Ulam--Rassias stability of Cauchy--Jensen functional equations in Banach algebras
• A generalized cubic functional equation
• On the stability of the linear transformation in Banach 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 functional equations in several variables
• On the stability of the quadratic mapping in normed spaces

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