Coupled coincidence point results for compatible mappings in partially ordered fuzzy metric spaces

Abstract

Coupled fixed point problems have attracted much attention in recent times. In this paper we establish coupled coincidence point and coupled fixed point results in the context of fuzzy metric spaces. The two mappings considered here are assumed to be compatible. Hadžić type t-norm is used. By an application of the coincidence point theorem in fuzzy metric spaces, a corresponding result is obtained in metric spaces. The main theorem of this paper is illustrated with an example. Our work extends some existing results.