COMPARATIVE STUDY ON HYERS-ULAM-RASSIAS STABILITY OF PEXIDER TYPE FUNCTIONAL EQUATION IN BANACH SPACES USING DIRECT METHOD AND FIXED POINT METHOD

COMPARATIVE STUDY ON HYERS-ULAM-RASSIAS STABILITY OF PEXIDER TYPE FUNCTIONAL EQUATION IN BANACH SPACES USING DIRECT METHOD AND FIXED POINT METHOD

P. Mondal, R. Bhattacharyya

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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  xed 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.

Keywords

Hyers-Ulam -Rassias stability, Pexider type functional equation, Banach space, contraction mapping,  xed point.