Fixed-Point Results for Meir–Keeler Type Contractions in Partial Metric Spaces: A Survey

Erdal Karapınar (), Ravi P. Agarwal (), Seher Sultan Yeşilkaya and Chao Wang
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Erdal Karapınar: Division of Applied Mathematics, Thu Dau Mot University, Thu Dau Mot 75000, Vietnam
Ravi P. Agarwal: Department of Mathematics, Texas A&M University-Kingsville 700 University Blvd., MSC 172, Kingsville, TX 78363-8202, USA
Seher Sultan Yeşilkaya: Division of Applied Mathematics, Thu Dau Mot University, Thu Dau Mot 75000, Vietnam
Chao Wang: Department of Mathematics, Yunnan University, Kunming 650091, China

Mathematics, 2022, vol. 10, issue 17, 1-76

Abstract: In this paper, we aim to review Meir–Keeler contraction mappings results on various abstract spaces, in particular, on partial metric spaces, dislocated (metric-like) spaces, and M -metric spaces. We collect all significant results in this direction by involving interesting examples. One of the main reasons for this work is to help young researchers by giving a framework for Meir Keeler’s contraction.

Keywords: Meir–Keeler contraction; uniform contraction mapping; fixed-point; partial metric spaces; metric-like spaces; M-metric spaces (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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