International Journal of Nonlinear Analysis and Applications

Hyperstability of bi-Cauchy-Jensen functional equations

Document Type : Research Paper

Authors

1 Department of Mathematics, Faculty of Science, Naresuan University, Phitsanulok, 65000, Thailand

2 Research Center for Academic Excellence in Mathematics, Naresuan University, Thailand

Abstract

In this paper, we prove some hyperstability results of the bi-Cauchy-Jensen functional equation: $2f\left( x+y,\frac{z+w}{2} \right) = f(x,z) + f(x,w) + f(y,z) + f(y,w)$ in Banach spaces by using fixed point method.

Keywords

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International Journal of Nonlinear Analysis and Applications
Volume 13, Issue 2
July 2022
Pages 3145-3160
  • Receive Date: 14 July 2020
  • Revise Date: 22 September 2020
  • Accept Date: 28 September 2020