APPROXIMATE LIE *-DERIVATIONS ON <i>ρ</i>-COMPLETE CONVEX MODULAR ALGEBRAS

DOI10.11948/2156-907X.20180166zbMath1470.39053OpenAlexW2972613906MaRDI QIDQ5859369

Hwan-Yong Shin, Hark-Mahn Kim

Publication date: 16 April 2021

Published in: Journal of Applied Analysis & Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.11948/2156-907x.20180166

zbMATH Keywords

convex modular\( \Delta_\mu \)-condition\((m,n)\)-Cauchy-Jensen mappingLie \(*\)-derivationmodular \(*\)-algebra

Mathematics Subject Classification ID

Stability, separation, extension, and related topics for functional equations (39B82) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Functional equations for functions with more general domains and/or ranges (39B52)

Cites Work

• Hyers-Ulam-Rassias stability of functional equations in nonlinear analysis
• Quasicontraction mappings in modular spaces without \(\Delta_2\)-condition
• A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings
• A fixed point approach to stability of functional equations in modular spaces
• On the stability of the linear transformation in Banach spaces
• On the Stability of the Linear Mapping in Banach Spaces
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