Coupled coincidence point results in partially ordered generalized fuzzy metric spaces with applications to integral equations

Abstract

Here we prove a coupled coincidence point theorem in G-fuzzy metric spaces for compatible mappings using Had zi c type t-norms which is characterized by the equi-continuity of its iterates. We apply our result toward obtaining a result in G-metric spaces. Two supporting examples are also given. Some existing results are extended by our theorem. We also apply our result to a problem of an integral equation. We further assume the G-metric space to be equipped with a partial ordering.