Solving a coupled system of functional equations using coupled coincidence point technique in metric-like spaces

Abstract

In this article, we study some new coupled coincidence and coupled common fixed point theorems in metric-like spaces for integral type contraction condition involving a pair of mappings satisfying the CRLg property. As an application, we discuss the existence of the solution for a coupled system of functional equations arising in dynamic programming. Our results generalize and modify several comparable results in the literature. Finally, two examples are given to illustrate the usefulness of the theoretical results.