Fixed Point Theorems for Mappings With a Contractive Iterate at a Point in Modular Metric Spaces

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2022

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House Book Science-casa Cartii Stiinta

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Green Open Access

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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; KARAPINAR, ERDAL/0000-0002-6798-3254

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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Fixed Point Theory

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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