Some coupled fixed point theorems on multiplicative metric spaces with an application

Abstract

This article aims to prove some coupled fixed point (FP) theorems for nonlinear contractive type mapping in multiplicative metric space (MM-space). Our presented work consists of the maximum type and some other expressions in the framework of MM-space. We also provide illustrative examples and an application in support of our generalized results. Our offered results expand and develop a variety of the latest outcomes in the existing literature. Moreover, we present an application of the two Urysohn integral equations to support our work.

Keywords

• coupled fixed point
• multiplicative metric space
• contraction conditions
• urysohn integral equations