APPROXIMATELY ADDITIVE MAPPINGS IN NON-ARCHIMEDEAN NORMED SPACES

DOI10.4134/BKMS.2009.46.2.387zbMath1163.39019OpenAlexW2166890456MaRDI QIDQ3623445

S. Alireza Kamel Mirmostafaee

Publication date: 20 April 2009

Published in: Bulletin of the Korean Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4134/bkms.2009.46.2.387

zbMATH Keywords

Hyers-Ulam-Rassias stabilityCauchy functional equationJensen functional equationadditive mappingnon-Archimedean normed spacesJordan-von Neumann-type Jensen inequality

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 (10)

Non-Archimedean stability of a generalized reciprocal-quadratic functional equation in several variables by direct and fixed point methods ⋮ Approximate mixed type quadratic-cubic functional equation ⋮ Nonlinear approximation of an ACQ-functional equation in NAN-spaces ⋮ Stability of additive functional inequality in various normed spaces ⋮ Stability of the \(n\)-dimensional mixed-type additive and quadratic functional equation in non-Archimedean normed spaces ⋮ Stability of mixed additive-quadratic Jensen type functional equation in various spaces ⋮ STABILITY OF THE GENERALIZED QUADRATIC AND QUARTIC TYPE FUNCTIONAL EQUATION IN NON-ARCHIMEDEAN FUZZY NORMED SPACES ⋮ Unnamed Item ⋮ A fixed point approach to the stability of a general mixed AQCQ-functional equation in non-Archimedean normed spaces ⋮ Stability of a general mixed additive-cubic functional equation in non-Archimedean fuzzy normed spaces

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