Strong Common Coupled Fixed Point Result in Fuzzy Metric Spaces

Abstract

Coupled fixed point problems have attracted large attention in recent times. In this paper we have proved a fuzzy coupled fixed point result. Precisely, we have defined the concept of strong coupled fixed point and have established the existence of a unique common strong coupled fixed point for two mappings on fuzzy metric spaces which satisfy certain contractive inequality. The main theorem has a corollary and is supported with an example. The example demonstrates that the theorem properly contains its corollary.