GENERALIZED HYERS-ULAM STABILITY FOR A GENERAL CUBIC FUNCTIONAL EQUATION IN QUASI-β-NORMED SPACES

DOI10.1142/S1793557111000332zbMath1274.39057OpenAlexW2130115012MaRDI QIDQ2891019

Golamreza Zamani Eskandani, John Michael S. Rassias, Paşc Găvruţă

Publication date: 12 June 2012

Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793557111000332

zbMATH Keywords

generalized Hyers-Ulam stabilitycontractively subadditiveexpansively superadditive\((\betap)\)-Banach spacequasi-\(\beta \)-normed space

Mathematics Subject Classification ID

Stability, separation, extension, and related topics for functional equations (39B82) Isomorphic theory (including renorming) of Banach spaces (46B03) Systems of functional equations and inequalities (39B72) Equations and inequalities involving nonlinear operators (47Jxx)

Related Items (8)

Stability for the mixed type of quartic and quadratic functional equations ⋮ Approximation by Cubic Mappings ⋮ Approximation of a general cubic functional equation in Felbin's type fuzzy normed linear spaces ⋮ Approximation of general \(\alpha\)-cubic functional equations in 2-Banach spaces ⋮ Stability of general \(A\)-cubic functional equations in modular spaces ⋮ On the Ulam stability of mixed type QA mappings in IFN-spaces ⋮ Orthogonal stability and nonstability of a generalized quartic functional equation in quasi-\(\beta\)-normed spaces ⋮ Stability and non-stability of generalized radical cubic functional equation in quasi-\(\beta\)-Banach spaces

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