Orthogonality and quintic functional equations

DOI10.1007/s10114-013-1061-3zbMath1275.39019OpenAlexW83570004MaRDI QIDQ353617

Chun-Gil Park, Jian Lian Cui, Madjid Eshaghi-Gordji

Publication date: 16 July 2013

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-013-1061-3

zbMATH Keywords

Hyers-Ulam stabilityfixed point methodnon-Archimedean Banach spaceorthogonality spaceorthogonally quintic functional equation

Mathematics Subject Classification ID

Fixed-point theorems (47H10) 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) Orthogonal additivity and other conditional functional equations (39B55)

Related Items (3)

Mixed type of additive and quintic functional equations ⋮ Heat kernel method for quintic and sextic equations in distributions and hyperfunctions ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Stability and superstability of ring homomorphisms on non-archimedean Banach algebras
• Nearly ring homomorphisms and nearly ring derivations on non-Archimedean Banach algebras
• Sesquilinear-orthogonally quadratic mappings
• On the representation of non-Archimedean objects
• Generalized Hyers-Ulam stability of quadratic functional equations: a fixed point approach
• On the stability of a generalized quadratic and quartic type functional equation in quasi-Banach spaces
• On orthogonally additive mappings
• Orthogonally additive and orthogonally increasing functions on vector spaces
• Special issue in memory of P. S. Alexandroff. Part 2
• The problem of S. M. Ulam for approximately multiplicative mappings
• On the stability of functional equations in Banach spaces
• On orthogonally additive mappings. IV
• Functional equations on A-orthogonal vectors
• Conditional functional equations and orthogonal additivity
• Stability of \(\Psi\)-additive mappings: Applications to nonlinear analysis
• Fixed points and Hyers--Ulam--Rassias stability of Cauchy--Jensen functional equations in Banach algebras
• ON APPROXIMATE n-ARY DERIVATIONS
• A New Orthogonality Relation for Normed Linear Spaces
• Generalized Hyers–Ulam stability of an Euler–Lagrange type additive mapping
• STABILITY OF A FUNCTIONAL EQUATION DERIVING FROM QUARTIC AND ADDITIVE FUNCTIONS
• Proprieta’ locali e approssimazione di operatori
• On the Stability of the Linear Mapping in Banach Spaces
• A fixed point method for perturbation of bimultipliers and Jordan bimultipliers in C∗-ternary algebras
• A fixed point theorem of the alternative, for contractions on a generalized complete metric space
• Orthogonality and Nonlinear Functionals on Banach Spaces
• Orthogonality and Linear Functionals in Normed Linear Spaces
• On the Stability of the Linear Functional Equation
• Orthogonality in normed linear spaces
• Remarks on the stability of functional equations
• Stability of functional equations in several variables
• On the stability of the additive Cauchy functional equation in random normed spaces
• Orthogonality in normed linear spaces
• On the stability of the quadratic mapping in normed spaces

This page was built for publication: Orthogonality and quintic functional equations