Hyers-Ulam Stability of Cubic Mappings in Non-Archimedean Normed Spaces

DOI10.5666/KMJ.2010.50.2.315zbMath1203.39019MaRDI QIDQ4933443

S. Alireza Kamel Mirmostafaee

Publication date: 12 October 2010

Published in: Kyungpook mathematical journal (Search for Journal in Brave)

zbMATH Keywords

Hyers-Ulam-Rassias stabilitynon-Archimedean normed spacecubic functional equationfixed point alternative

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)

Related Items (5)

Non-Archimedean stability of a generalized reciprocal-quadratic functional equation in several variables by direct and fixed point methods ⋮ Fixed points and quadratic equations connected with homomorphisms and derivations on non-Archimedean algebras ⋮ A new type of approximation for the radical quintic functional equation in non-Archimedean \((2,\beta)\)-Banach spaces ⋮ On a new type of hyperstability for radical cubic functional equation in non-Archimedean metric spaces ⋮ Stability and superstability of generalized quadratic ternary derivations on non-Archimedean ternary Banach algebras: a fixed point approach

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