A fixed point theorem in ordered \(G\)-metric spaces with its application via new functions

Volume 3, Issue 1, pp 1--11 http://dx.doi.org/10.22436/mns.03.01.01

Publication Date: July 30, 2019 Submission Date: November 29, 2017 Revision Date: April 01, 2018 Accteptance Date: April 11, 2018

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Authors

Stojan Radenovic - Nonlinear Analysis Research Group, Ton Duc Thang University, Ho Chi Minh City, Vietnam. - Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City, Vietnam. Arslan Hojat Ansari - Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran. - Department of Mathematics, Payame Noor University, P. O. Box 19395-3697, Tehran, Iran. Ali Turab - Department of Mathematics and Statistics, Faculty of Science and Technology, Thammasat University Rangsit Center, Pathum Thani 12121, Thailand. Muaadh Almahalebi - Department of Mathematics, Ibn Tofail University, Kenitra, Morocco.

Abstract

In this paper, we will investigate a fixed point theorem for \((\psi ,\varphi )\)-weak contraction via new functions in generalized ordered metric spaces. Furthermore, we present an illustrative application in integral equations.

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Keywords

• \(\Omega \)-distance
• fixed point
• \(G\)-metric space

MSC

•  47H10
•  54H25

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