Coupled Fixed Point Theorems in Partially Ordered Multiplicative Metric Space and Its Applications

Shanjit, Laishram; Rohen, Yumnam; Singh, T.C.; Murthy, P. P.

doi:10.12732/ijpam.v108i1.7

Int. J. of Pure and Appl. Math.

2016

DOI: 10.12732/ijpam.v108i1.7

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Coupled Fixed Point Theorems in Partially Ordered Multiplicative Metric Space and Its Applications

Laishram Shanjit¹,

Yumnam Rohen²,

T.C. Singh³

et al.

Abstract: In this paper, we introduce the concept of coupled fixed point in partially ordered multiplicative metric space by proving some theorems for the existence and uniqueness of coupled fixed point. Also, we discuss the application to the existence and uniqueness of solution for a periodic boundary value problem.

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Cited by 2 publications

References 12 publications

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Note on recent common coupled fixed point results in multiplicative metric spaces

Huang

Deng

Došenović

et al. 2018

Applied Mathematics and Nonlinear Sciences

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The purpose of this paper is to improve and complement the main results of Jiang and Gu (J. Nonlinear Sci. Appl., 10 (2017), 1881–1895). By using nontrivial methods, some common coupled fixed point results in metric spaces are obtained. Moreover, it is shown that some recent fixed point results in the setting of multiplicative metric spaces are actually equivalent to the counterpart of the standard metric spaces. In addition, an example to illustrate the presented theoretical result is also given.

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Note on recent common coupled fixed point results in multiplicative metric spaces

Huang

Deng

Došenović

et al. 2018

Applied Mathematics and Nonlinear Sciences

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show abstract

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

Hussain

Rehman

Jaradat

et al. 2022

MATH

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<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>

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Coupled Fixed Point Theorems in Partially Ordered Multiplicative Metric Space and Its Applications

Cited by 2 publications

References 12 publications

Note on recent common coupled fixed point results in multiplicative metric spaces

Note on recent common coupled fixed point results in multiplicative metric spaces

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

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