APPLICATION OF BEST PROXIMITY POINT(PAIR) THEOREM AND MEASURE OF NONCOMPACTNESS TO A SYSTEM OF INTEGRO DIFFERENTIAL EQUATIONS IN BANACH SPACE

Abstract

This article explores the existence of an optimal solution for our pro posed system of integro differential equations in Banach space by generalizing the best proximity point (pair) theorem and utilizing a new contraction operator. With the aid of an appropriate example, the applicability of our findings has also been demonstrated.