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

Journal of Linear and Topological Algebra

دوره 10، شماره 01، خرداد 2021، صفحه 1-10   

نوع مقاله: Research Paper

نویسندگان

H. Majani^{* 1}؛ R. Zaer Soleimani²؛ Javad Izadi³

¹Department of Mathematics, Shahid Chamran University of Ahvaz, Ahvaz, Iran

²Department of Mathematics, Payame Noor University (PNU), P.O. Box 19395-4697, Tehran, Iran

³Department of Mathematics, Payame Noor University, P.O. Box: 19395-4697 Tehran, Iran

چکیده

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.

کلیدواژه‌ها

Function weighted metric spaces؛ coupled fixed point؛ $T$-contraction

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