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Fixed-Point Theorem for Nonlinear F -Contraction via w -Distance

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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… Click to show full 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.

Keywords: point theorem; distance; theorem nonlinear; contraction; fixed point

Journal Title: Advances in Mathematical Physics
Year Published: 2020

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