# A fixed point theorem in ordered $G$-metric spaces with its application via new functions

Volume 3, Issue 1, pp 1--11
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.

### Share and Cite

##### ISRP Style

Stojan Radenovic, Arslan Hojat Ansari, Ali Turab, Muaadh Almahalebi, A fixed point theorem in ordered $G$-metric spaces with its application via new functions, Mathematics in Natural Science, 3 (2018), no. 1, 1--11

##### AMA Style

Radenovic Stojan, Ansari Arslan Hojat, Turab Ali, Almahalebi Muaadh, A fixed point theorem in ordered $G$-metric spaces with its application via new functions. Math. Nat. Sci. (2018); 3(1):1--11

##### Chicago/Turabian Style

Radenovic, Stojan, Ansari, Arslan Hojat, Turab, Ali, Almahalebi, Muaadh. "A fixed point theorem in ordered $G$-metric spaces with its application via new functions." Mathematics in Natural Science, 3, no. 1 (2018): 1--11

### Keywords

• $\Omega$-distance
• fixed point
• $G$-metric space

•  47H10
•  54H25

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