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

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.

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Published

2016-11-28

How to Cite

Almahalebi, M., Charifi, A., & Kabbaj, S. (2016). HYPERSTABILITY OF A CAUCHY FUNCTIONAL EQUATION. Journal of Nonlinear Analysis and Optimization: Theory & Applications, 6(2), 127-137. Retrieved from http://www.math.sci.nu.ac.th/ojs302/index.php/jnao/article/view/383

Issue

Section

Research Article