Existence of Common Coupled Fixed Points of Generalized Contractive Mappings in Ordered Multiplicative Metric Spaces

Abstract

In order to generalize coupled fixed point results in the setup of partially ordered multiplicative metric spaces, we employing the concept of w∗- compatible mappings and generalized contractive condition and prove some coupled coincidence point and common coupled fixed points results. We also provide illustrative examples in support of our new results. Moreover, some applications to integral equations are presented. Our established results generalize, extend and unify various results in the existing literature.