Generalized quadratic mappings in several variables

DOI10.1016/j.na.2004.03.013zbMath1058.39024OpenAlexW2000224291MaRDI QIDQ1882465

Chun-Gil Park

Publication date: 1 October 2004

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2004.03.013

zbMATH Keywords

normed spaceBanach spacestability of functional equationsgeneralized quadratic mapping

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 FIXED-POINT METHOD FOR PERTURBATION OF HIGHER RING DERIVATIONS IN NON-ARCHIMEDEAN BANACH ALGEBRAS ⋮ Stability results of the functional equation deriving from quadratic function in random normed spaces ⋮ Elementary remarks on Ulam-Hyers stability of linear functional equations ⋮ Inner Product Spaces and Quadratic Functional Equations ⋮ Solution and Hyers-Ulam-Rassias stability of generalized mixed type additive-quadratic functional equations in fuzzy Banach spaces ⋮ Nearly ternary quadratic higher derivations on non-Archimedean ternary Banach algebras: a fixed point approach ⋮ Solution and stability of generalized mixed type additive and quadratic functional equation in non-Archimedean spaces ⋮ An interview with Themistocles M. Rassias ⋮ Stability of cubic and quartic functional equations in non-Archimedean spaces ⋮ Solutions and the generalized Hyers-Ulam-Rassias stability of a generalized quadratic-additive functional equation

Cites Work

• Variational problem of some quadratic functionals in complex analysis
• A generalization of 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 the stability of functional equations in Banach spaces
• On the Hyers-Ulam stability of linear mappings
• Proprieta’ locali e approssimazione di operatori
• On the Stability of the Linear Mapping in Banach Spaces
• On the Stability of the Linear Functional Equation
• Remarks on the stability of functional equations
• On the stability of the quadratic mapping in normed spaces
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