Comparative study on Hyers-Ulam-Rassias stability of pexider type functional equation in Banach spaces using direct method and fixed point method

Abstract

In this paper, we have established a Hyers-Ulam-Rassias stability result of a pexider type functional equation. The work is in the framework of Banach spaces. The result is established using direct method as well as a fixed point theorem approach followed by some corollaries. Apart from its main objective of obtaining the stability result, the present paper is also a demonstration of the comparative study of the results in Banach spaces.