Common coupled fixed point theorems on generalized k-fuzzy metric spaces with an application

Abstract

This paper explores a coupled coincidence point theorem on generalized k-fuzzy metric spaces involving an inequality that includes several mappings. Specifically, theorems that prove common fixed points have been derived using w-compatibility. Moreover, we discuss the consequences of our main theorem and provide a couple of examples to validate our result. Finally, we apply our result in proving the existence of solutions to functional equations that frequently appear in Dynamic Programming.