Fixed-Point Theorem for Nonlinear - Contraction via - Distance

Abdelkarim Kari, Mohamed Rossafi, El Miloudi Marhrani and Mohamed Aamri

Advances in Mathematical Physics, 2020, vol. 2020, 1-10

Abstract:

The aim of this paper is to introduce a notion of - contraction defined on a metric space with - distance. Moreover, fixed-point theorems are given in this framework. As an application, we prove the existence and uniqueness of a solution for the nonlinear Fredholm integral equations. Some illustrative examples are provided to advocate the usability of our results.

Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlamp:6617517

DOI: 10.1155/2020/6617517

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