Common fixed point theorems of integral type in intuitionistic fuzzy metric space using control function with applications

In this paper, first, we investigate the existence and uniqueness of common fixed point for two pairs of weakly compatible maps which form a new type of integral-type condition via CLR property in the context of intuitionistic fuzzy metric space. The given results not only associate but also establish various existing results in the literature. Second, we present application of common fixed point theorem for the existence and uniqueness of solutions for functional equations occurring in dynamic programming of multistage decision processes. We also give an illustrative example which yields the main result.