On the General Solution of a Quadratic Functional Equation and its Ulam Stability in Various Abstract Spaces

DOI10.22436/JNSA.007.06.01zbMath1312.39027OpenAlexW2185955833MaRDI QIDQ5247467

Yaoyao Lan, Yong-Hong Shen

Publication date: 24 April 2015

Published in: Journal of Nonlinear Sciences and Applications (Search for Journal in Brave)

Full work available at URL: http://www.tjnsa.com/includes/files/articles/Vol7_Iss6_368--378_On_the_General_Solution_of_a_Quadra.pdf

zbMATH Keywords

normed spacegeneral solutionquadratic functional equationnon-Archimedean spaceUlam stability

Mathematics Subject Classification ID

Functional equations for real functions (39B22) 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 (3)

Multi-\(C^{*}\)-ternary algebras and applications ⋮ Approximation of the multiplicatives on random multi-normed space ⋮ A new approach to Hyers-Ulam stability of \(r\)-variable quadratic functional equations

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