FUNCTIONAL EQUATIONS IN ORTHOGONALITY SPACES

DOI10.11568/kjm.2012.20.1.077OpenAlexW4249692042MaRDI QIDQ5863385

Publication date: 11 March 2022

Published in: Korean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.11568/kjm.2012.20.1.077

zbMATH Keywords

fixed point Hyers-Ulam stability orthogonality space orthogonally quadratic functional equation orthogonally additive functional equation

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Functional equations for functions with more general domains and/or ranges (39B52) Orthogonal additivity and other conditional functional equations (39B55)

Cites Work

Sesquilinear-orthogonally quadratic mappings
A fixed point approach to stability of a quadratic equation
Generalized Hyers-Ulam stability of quadratic functional equations: a fixed point approach
Fixed point methods for the generalized stability of functional equations in a single variable
On orthogonally additive mappings
Orthogonally additive and orthogonally increasing functions on vector spaces
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
On the stability of the orthogonal pexiderized Cauchy equation
Orthogonal stability of additive type equations
Fixed points and Hyers--Ulam--Rassias stability of Cauchy--Jensen functional equations in Banach algebras
The stability of a cubic type functional equation with the fixed point alternative
Orthogonality in linear metric spaces
A New Orthogonality Relation for Normed Linear Spaces
Generalized Hyers–Ulam stability of an Euler–Lagrange type additive mapping
Proprieta’ locali e approssimazione di operatori
On the Stability of the Linear Mapping in Banach Spaces
On the asymptoticity aspect of Hyers-Ulam stability of mappings
A fixed point theorem of the alternative, for contractions on a generalized complete metric space
Orthogonality and Nonlinear Functionals on Banach Spaces
On the orthogonal stability of the pexiderized quadratic equation
Orthogonality and Linear Functionals in Normed Linear Spaces
Orthogonality in normed linear spaces
Remarks on the stability of functional equations
On the stability of the additive Cauchy functional equation in random normed spaces
On the stability of the quadratic mapping in normed spaces
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