Some further generalizations of the Hyers-Ulam-Rassias stability of functional equations

DOI10.1006/jmaa.2001.7587zbMath0993.39024OpenAlexW2015076232MaRDI QIDQ5955042

Wang Jian

Publication date: 18 September 2002

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

Full work available at URL: https://doi.org/10.1006/jmaa.2001.7587

zbMATH Keywords

functional equationHyers-Ulam-Rassias stabilityCauchy equationPexider equationJensen equationpower-associative groupoidtopological vector space

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 (10)

A generalization of the Hyers-Ulam-Rassias stability of the Pexiderized quadratic equations ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Ulam-Hyers-Rassias stability of a nonlinear stochastic Ito-Volterra integral equation ⋮ Ulam-Hyers-Rassias stability of a nonlinear stochastic integral equation of Volterra type ⋮ The Hyers-Ulam-Rassias stability of the pexiderized equations ⋮ A fixed point approach to the Hyers-Ulam-Rassias stability problem of pexiderized functional equation in modular spaces ⋮ Ulam stability for nonautonomous quantum equations ⋮ Some hyperstability results in non-Archimedean 2-Banach space for a \(\sigma\)-Jensen functional equation ⋮ Results and Problems in Ulam Stability of Operatorial Equations and Inclusions

Cites Work

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• On Jensen's functional equation
• A generalization of the Hyers-Ulam-Rassias stability of Jensen's equation
• On approximate solutions of the Pexider equation
• A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings
• On the Hyers-Ulam-Rassias stability of approximately additive mappings
• The problem of S. M. Ulam for approximately multiplicative mappings
• On the stability of functional equations and a problem of Ulam
• On Hyers-Ulam-Rassias stability of the Pexider equation
• On the Hyers-Ulam stability of linear mappings
• On the Stability of the Linear Mapping in Banach Spaces
• Hyers-Ulam-Rassias stability of Jensen’s equation and its application
• On the asymptoticity aspect of Hyers-Ulam stability of mappings
• On the Stability of the Linear Functional Equation

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