Fixed point results for β − F−weak contraction mappings in complete S-metric spaces
Abstract
Introduction/purpose: This paper introduces the concept of β − F-weak contraction by using the concepts of F−weak contraction and α − ψ−contraction.
Methods: The use of the β − F-weak contraction proves some fixed points theorems in the framework of S−metric spaces.
Results: The obtained results on fixed points in S−metric spaces generalize some known results in the literature.
Conclusions: The β − F−weak contraction generalizes some important contraction types and examines the existence of a fixed point in S−metric spaces. The results are used to solve a non-linear Fredholm integral equation.
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