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

Abstract

<abstract><p>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.</p></abstract>

Some Outcomes using Conditionally Sequential Absorbing and Pseudo Reciprocally Continuous in Multiplicative Metric Space

“…Further Ozavsar and Cevikel in 2017 investigated and developed the multiplicative contraction principle and proved some common fixed point results. Thereafter, the theory of a multiplicative metric space has been developed by many authors (1)(2)(3)(4)(5)(6)(7)(8)(9) . In this process Verma et al (10) generalized the theorem proved by Cho and Yooon MMS in 2009.…”

Some types of composed operators with coupled coincidence points theorems on multiplicative partial cone metric spaces over Banach algebras and applications

“…In 2022, Hussain et al 20 established some coupled fixed point theorems for non-linear contractive-type mappings in the framework of multiplicative metric spaces, and then they presented an application of the two Urysohn integral equations to support the new generalized results.…”