A NEW FIXED POINT RESULT IN GRAPHICAL bv(s)-METRIC SPACE WITH APPLICATION TO DIFFERENTIAL EQUATIONS

Abstract

In the present paper, motivated by [13,15], first we give a notion of graphical bv(s)-metric space, which is a graphical version of bv(s)-metric space. Utilizing the graphical Banach contraction mapping we prove fixed point results in graphical bv(s)-metric space. Appropriate examples are also presented to support our results. In the end, the main result ensures the existence of a solution for an ordinary differential equation along with its boundary conditions by using the fixed point result in graphical bv(s)-metric space.