HYPERSTABILITY OF A CAUCHY FUNCTIONAL EQUATION

Authors

  • M. Almahalebi Department of Mathematics, Faculty of Sciences, Ibn Tofail University, BP: 133, 14000, KENITRA, MOROCCO
  • A. Charifi Department of Mathematics, Faculty of Sciences, Ibn Tofail University, BP: 133, 14000, KENITRA, MOROCCO
  • S. Kabbaj Department of Mathematics, Faculty of Sciences, Ibn Tofail University, BP: 133, 14000, KENITRA, MOROCCO

Keywords:

Hyperstability, Cauchy equation, Fixed point theorem

Abstract

The aim of this paper is to offer hyperstability results for the Cauchy functional equation $$f\left(\sum_{i=1}^{n}x_{i}\right)=\sum_{i=1}^{n}f(x_{i})$$ in Banach spaces. Namely, we show that a function satisfying the equation approximately must be actually a solution to it.

Additional Files

Published

11/28/2016

How to Cite

Almahalebi, M. ., Charifi, A. ., & Kabbaj, S. . (2016). HYPERSTABILITY OF A CAUCHY FUNCTIONAL EQUATION. Journal of Nonlinear Analysis and Optimization: Theory & Applications (JNAO), 6(2), 127–137. retrieved from https://ph03.tci-thaijo.org/index.php/jnao/article/view/2786

Issue

Vol. 6 No. 2 (2015): JNAO

Section

Research Articles

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Creative Commons License

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.