Fixed Point Theorems For Mappings With A Contractive Iterate At A Point In Modular Metric Spaces
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Date
2022
Authors
Karapinar, Erdal
Aksoy, Ümit
Fulga, Andreea
Erhan, İnci M.
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Abstract
In this manuscript, we introduce two new types of contraction, namely, w-contraction and strong Sehgal w-contraction, in the framework of modular metric spaces. We indicate that under certain assumptions, such mappings possess a unique fixed point. For the sake of completeness, we consider examples and an application to matrix equations.
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Keywords
Contractive Iterate at a Point, Fixed Point, Modular Metric Space
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Citation
Karapınar, Erdal;...et.al. (2022). "Fixed Point Theorems For Mappings With A Contractive Iterate At A Point In Modular Metric Spaces", Fixed Point Theory, Vol.23, No.2, pp.519-532.
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Source
Fixed Point Theory
Volume
23
Issue
2
Start Page
519
End Page
532