Fixed Point Theorems for Mappings With a Contractive Iterate at a Point in Modular Metric Spaces
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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.
Description
Erhan, Inci M./0000-0001-6042-3695
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Keywords
Modular Metric Space, Fixed Point, Contractive Iterate At A Point, fixed point, Fixed-point and coincidence theorems (topological aspects), contractive iterate at a point, Special maps on metric spaces, 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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1
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Volume
23
Issue
2
Start Page
519
End Page
531
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Scopus : 4
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4
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1
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