Coupled fixed point results for $T$-contractions on $\mathcal{F}$-metric spaces and an application

Subject Areas : Fixed point theory

H. Majani ¹ , R. Zaer Soleimani ² , Javad Izadi ³

1 - Department of Mathematics, Shahid Chamran University of Ahvaz, Ahvaz, Iran
2 - Department of Mathematics, Payame Noor University (PNU), P.O. Box 19395-4697, Tehran, Iran
3 - Department of Mathematics, Payame Noor University, P.O. Box: 19395-4697 Tehran, Iran

Received: 2020-07-24 Accepted : 2021-01-16 Published : 2021-03-01

Keywords: coupled fixed point, Function weighted metric spaces, $T$-contraction,

Abstract :

The main purpose of this article is to introduce the concept of $T$-contraction type mappings in the function weighed metric spaces and to obtain some coupled fixed points theorems in this framework. Also, an example and an application of the existence of a solution of a system of nonlinear integral equations are considered to protect the main results.

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