Stability of a mixed type functional equation on multi-Banach spaces: a fixed point approach

DOI10.1155/2010/283827zbMath1191.39028OpenAlexW2094966114WikidataQ59249888 ScholiaQ59249888MaRDI QIDQ978956

Bo Liu, Ran Bai, Li Guang Wang

Publication date: 25 June 2010

Published in: Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/226509

zbMATH Keywords

Hyers-Ulam-Rassias stabilityfixed point methodsmixed type functional equationmulti-Banach spaces

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 (14)

On the stability of alternative additive equations in multi-\(\beta\)-normed spaces ⋮ Orthogonal stability of mixed type additive-cubic functional equations in multi-Banach spaces ⋮ Unnamed Item ⋮ Ulam-Hyers stability of hexadecic functional equations in multi-Banach spaces ⋮ On the stability of a mixed type functional equation in generalized functions ⋮ On the reducibility of quasiperiodic linear Hamiltonian systems and its applications in Schrödinger equation ⋮ A fixed-point theorem for ordered contraction-type decreasing operators in Banach space with lattice structure ⋮ General Solution and Hyers–Ulam Stability of DuoTrigintic Functional Equation in Multi-Banach Spaces ⋮ \(C^\ast\)-algebra-valued \(G\)-metric spaces and related fixed-point theorems ⋮ On the effective reducibility of a class of quasi-periodic linear Hamiltonian systems close to constant coefficients ⋮ On the stability of quadratic functional equations in \(F\)-spaces ⋮ Editorial: Existence and asymptotic behaviour of solutions of differential and integral equations in some function spaces 2016 ⋮ Unnamed Item ⋮ Stability of trigintic functional equation in multi-Banach spaces: fixed point approach

Cites Work

• Unnamed Item
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• Stability of the Cauchy-Jensen functional equation in \(C^*\)-algebras: a fixed point approach
• A fixed point approach to the stability of a functional equation of the spiral of Theodorus
• Asymptotic aspect of the quadratic functional equation in multi-normed spaces
• Stability of the Jensen-type functional equation in \(C^{\ast}\)-algebras: a fixed point approach
• On stability of additive mappings
• A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings
• Stability of functional equations in single variable.
• On the stability of mappings and an answer to a problem of Th. M. Rassias
• On the stability of the linear transformation in Banach spaces
• Multi-normed spaces
• The Stability of Certain Functional Equations
• On the Behavior of Mappings which do not Satisfy Hyers-Ulam Stability
• On the Stability of the Linear Mapping in Banach Spaces
• Stability of a Mixed Type Additive, Quadratic, Cubic and Quartic Functional Equation
• Ψ-Aditive Mappings and Hyers–Ulam Stability
• A fixed point theorem of the alternative, for contractions on a generalized complete metric space
• STABILITY OF MAPPINGS ON MULTI-NORMED SPACES
• On the Stability of the Linear Functional Equation
• On a problem of G. Isac and Th. M. Rassias concerning the stability of mappings

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