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Interpolative Meir–Keeler Mappings in Modular Metric Spaces

Erdal Karapınar (), Andreea Fulga and Seher Sultan Yeşilkaya
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Erdal Karapınar: Division of Applied Mathematics, Thu Dau Mot University, Thu Dau Mot 75000, Vietnam
Andreea Fulga: Department of Mathematics and Computer Science, Transilvania University of Brasov, 500123 Brasov, Romania
Seher Sultan Yeşilkaya: Division of Applied Mathematics, Thu Dau Mot University, Thu Dau Mot 75000, Vietnam

Mathematics, 2022, vol. 10, issue 16, 1-13

Abstract: Modular metric space is one of the most interesting spaces in the framework of the metric fixed point theory. The main goal of the paper is to provide some certain fixed point results in the context of modular metric spaces and non-Archimedean modular metric spaces. In particular, we examine the existence of interpolative Meir–Keeler contraction types via admissible mappings for fixed point theory. Our results bring together several results available in the current corresponding literature.

Keywords: modular metric spaces; interpolative contraction; fixed point; Meir–Keeler contraction (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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