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Research Article Open access CC BY 3.0

Hyperstability of a Cauchy-Jensen Type Functional Equation

Muaadh Almahalebi, Samir Kabbaj

Advances in Research · pp. 1017–1025 · Published 21 Aug 2014

10.9734/AIR/2014/12847

Abstract

In this paper, we establish some hyperstability results concerning the Cauchy - Jensen functional equation $$ f\left(\frac{x+y}{2}\right)+f\left(\frac{x-y}{2}\right)=f(x) $$ in Banach spaces.

Hyperstability Cauchy-Jensen equation fixed point theorem

References (20)

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Cited by 14

On the hyperstability of $${\sigma}$$ σ -Drygas functional equation on semigroups

Muaadh Almahalebi · Aequationes mathematicae · 2016

Approximate Solution of P-Radical Functional Equation in 2-Banach Spaces

Muaadh Almahalebi, Abdellatif Chahbi · Acta Mathematica Scientia · 2019

Hyperstability of the Jensen functional equation in ultrametric spaces

Muaadh Almahalebi, Abdellatif Chahbi · Aequationes mathematicae · 2017

On the Brzdȩk’s fixed point approach to stability of a Drygas functional equation in 2-Banach spaces

Ahmed Nuino · Journal of Fixed Point Theory and Applications · 2021

Some Hyperstability Results in Non-Archimedean 2-Banach Space for a σ-Jensen Functional Equation

Rachid ELGhali, Samir Kabbaj · Springer Optimization and Its Applications · 2022

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