Approximation of the multi-\(m\)-Jensen-quadratic mappings and a fixed point approach

DOI10.1515/ms-2017-0456zbMath1479.39026OpenAlexW3127841226MaRDI QIDQ2054604

Publication date: 3 December 2021

Published in: Mathematica Slovaca (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ms-2017-0456

zbMATH Keywords

fixed point Hyers-Ulam stability Banach space multi-Jensen mapping multi-quadratic mapping multi-\(m\)-Jensen mapping

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Stability, separation, extension, and related topics for functional equations (39B82) Isomorphic theory (including renorming) of Banach spaces (46B03) Iteration theory, iterative and composite equations (39B12)

Related Items (1)

Characterization and stability of multimixed additive-quartic mappings: a fixed point application

Cites Work

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On an equation characterizing multi-Jensen-quadratic mappings and its Hyers-Ulam stability via a fixed point method
On an equation characterizing multi-Cauchy-Jensen mappings and its Hyers-Ulam stability
A fixed point approach to stability of functional equations
On stability and hyperstability of an equation characterizing multi-Cauchy-Jensen mappings
Generalized stability of multi-additive mappings
Stability of the multi-Jensen equation
On approximation of approximately linear mappings by linear mappings
A generalization of the Hyers-Ulam-Rassias stability of Jensen's equation
A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings
On an equation characterizing multi-additive-quadratic mappings and its Hyers-Ulam stability
Multi-affine and multi-Jensen functions and their connection with generalized polynomials
Solution and stability of the multiquadratic functional equation
Multiquartic functional equations
Almost multi-quadratic mappings in non-Archimedean spaces
A fixed point application for the stability and hyperstability of multi-Jensen-quadratic mappings
Stability of the equation of the \(p\)-Wright affine functions
On the generalized Hyers-Ulam stability of multi-quadratic mappings
Approximately isometric and multiplicative transformations on continuous function rings
On the stability of the linear transformation in Banach spaces
Stability of multi-Jensen mappings in non-Archimedean normed spaces
ON THE SOLUTIONS OF A BI-JENSEN FUNCTIONAL EQUATION AND ITS STABILITY
On a Local Stability of the Jensen Functional Equation
STABILITY OF THE MULTI-JENSEN EQUATION
On the Rassias stability of a bi-Jensen functional equation
ON MULTI-JENSEN FUNCTIONS AND JENSEN DIFFERENCE
On the Stability of the Linear Mapping in Banach Spaces
Hyers-Ulam-Rassias stability of Jensen’s equation and its application
On the stability of multi-m-Jensen mappings
On an equation characterizing multi-cubic mappings and its stability and hyperstability
On the Stability of the Linear Functional Equation

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