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

AIMS Mathematics

article

Baqir Hussain¹  Saif Ur Rehman¹  Mohammed M.M. Jaradat²  Sami Ullah Khan¹  Muhammad Arshad³ 

[1] Institute of Numerical Sciences, Department of Mathematics, Gomal University;Mathematics Program, Department of Mathematics, Statistics and Physics, College of Arts and Sciences, Qatar University;Department of Math & State, International Islamic University

关键词: coupled fixed point;    multiplicative metric space;    contraction conditions;    Urysohn integral equations;   

DOI  :  10.3934/math.2022805

学科分类：地球科学(综合)

来源: AIMS Press

【 摘 要 】

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.

【 授权许可】

CC BY