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Functional-Type Caristi–Kirk Theorem on Menger Space and Application
Journal of Mathematics ( IF 1.3 ) Pub Date : 2020-06-11 , DOI: 10.1155/2020/3931426
Soumia Chaira 1 , Mohammed Dahmouni 1 , Abderrahim Eladraoui 2 , Mustapha Kabil 1
Affiliation  

In this paper, we extend Caristi’s fixed point theorem in metric spaces to probabilistic metric spaces, and also, we prove some common fixed point theorems for a pair of mappings satisfying a system of Caristi-type contractions in the setting of a Menger space. Two examples are given to support the main results. Furthermore, we have functional equations as an application for the main theorem.

中文翻译:

Menger空间上的泛函型Caristi–Kirk定理及其应用

在本文中,我们将度量空间中的Caristi不动点定理扩展到概率度量空间,并且,我们证明了在Menger空间中满足一对Caristi型压缩系统的映射的一些常见不动点定理。给出两个例子来支持主要结果。此外,我们有函数方程作为主定理的应用。
更新日期:2020-06-11
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