FIXED POINTS FOR VARIANTS OF COMPATIBLE MAPPINGS WITH APPLICATION IN DYNAMIC PROGRAMMING

Abstract

In this paper, we obtain some common fixed point theorems for pairs of com-patible mappings of type (R), type (E) and type (K) satisfying generalized (ψ, ϕ)-weakcontraction involving cubic terms of metric functions. We also provide examples for the validity of our results and as applications, we obtain the existence and uniqueness of commonsolutions of certain functional equations arising in dynamic programming.