Solution and approximation of radical quintic functional equation related to quintic mapping in quasi-\(\beta \)-Banach spaces

DOI10.1007/s13398-018-0506-zzbMath1418.65195OpenAlexW2794207226MaRDI QIDQ2314619

Iz-iddine EL-Fassi

Publication date: 29 July 2019

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13398-018-0506-z

zbMATH Keywords

stabilitycounterexampleradical functional equationssubadditive and subquadratic functionsquasi-\(\beta \)-normed spaces

Mathematics Subject Classification ID

Stability, separation, extension, and related topics for functional equations (39B82) Functional inequalities, including subadditivity, convexity, etc. (39B62) Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX) (46H25) Numerical methods for functional equations (65Q20)

Related Items (7)

A new fixed point theorem in quasi-\((2, \beta)\)-Banach spaces and some of its applications to functional equations ⋮ Approximation of involution in multi-Banach algebras: fixed point technique ⋮ Ulam stability of an additive-quadratic functional equation in Banach spaces ⋮ On positive answer to El-Fassi's question related to hyperstability of the general radical quintic functional equation in quasi-\(\beta\)-Banach spaces ⋮ Unnamed Item ⋮ Ternary biderivations and ternary bihomorphisms in \(C^\ast\)-ternary algebras ⋮ \(C^\ast\)-algebra valued fuzzy normed spaces with application of Hyers-Ulam stability of a random integral equation

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