A fixed point approach to the stability of a general mixed AQCQ-functional equation in non-Archimedean normed spaces

DOI10.1155/2010/812545zbMath1198.39041OpenAlexW2061839786WikidataQ58650649 ScholiaQ58650649MaRDI QIDQ1958784

John Michael S. Rassias, Tian-Zhou Xu, Wan Xin Xu

Publication date: 29 September 2010

Published in: Discrete Dynamics in Nature and Society (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/231277

zbMATH Keywords

generalized Hyers-Ulam stabilitynon-Archimedean normed spacesgeneral mixed additive-quadratic-cubic-quartic (AQCQ) functional equation

Mathematics Subject Classification ID

Stability, separation, extension, and related topics for functional equations (39B82) Functional equations for functions with more general domains and/or ranges (39B52)

Related Items (11)

Various generalized Ulam-Hyers stabilities of a nonic functional equations ⋮ Ulam-Hyers stability for fractional differential equations in quaternionic analysis ⋮ A fixed point approach to Ulam-Hyers stability of duodecic functional equation in quasi-\(\beta\)-normed spaces ⋮ Nearly quadratic \(n\)-derivations on non-Archimedean Banach algebras ⋮ Stability for functional equation of mixed type in non-Archimedean normed spaces ⋮ Asymptotically non-expansive self-maps and global stability with ultimate boundedness of dynamic systems ⋮ Generalized Hyers-Ulam stability of a general mixed additive-cubic functional equation in quasi-Banach spaces ⋮ A fixed point approach to the stability of quintic and sextic functional equations in quasi-\(\beta \)-normed spaces ⋮ Ulam-Hyers stability of undecic functional equation in quasi-\(\beta\)-normed spaces: fixed point method ⋮ A generalized mixed type of quartic-cubic-quadratic-additive functional equations ⋮ Stability of multi-Jensen mappings in non-Archimedean normed spaces

Cites Work

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• A generalized mixed quadratic-quartic functional equation
• A Mazur--Ulam theorem in non-Archimedean normed spaces
• Fixed points and the stability of an AQCQ-functional equation in non-Archimedean normed spaces
• Stability of a mixed type cubic-quartic functional equation in non-Archimedean spaces
• Functional inequalities in non-Archimedean Banach spaces
• A note to paper ``On the stability of cubic mappings and quartic mappings in random normed spaces
• Solution of a problem of Ulam
• On approximation of approximately linear mappings by linear mappings
• A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings
• Generalized Hyers-Ulam stability of a general mixed additive-cubic functional equation in quasi-Banach spaces
• Stability of \(\Psi\)-additive mappings: Applications to nonlinear analysis
• Some remarks on stability and solvability of linear functional equations
• Stability of two types of cubic functional equations in non-archimedean spaces
• On the stability of the linear transformation in Banach spaces
• APPROXIMATELY ADDITIVE MAPPINGS IN NON-ARCHIMEDEAN NORMED SPACES
• Stability of functional equations in non-Archimedean spaces
• On the Stability of the Linear Mapping in Banach Spaces
• Intuitionistic fuzzy stability of a general mixed additive-cubic equation
• A fixed point theorem of the alternative, for contractions on a generalized complete metric space
• On the Stability of the Linear Functional Equation
• On the stability of the additive Cauchy functional equation in random normed spaces

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