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

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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.

Description

Agarwal, Ravi/0000-0003-0634-2370; Yesilkaya, Seher Sultan/0000-0002-1748-2398

Keywords

Meir-Keeler Contraction, Uniform Contraction Mapping, Fixed-Point, Partial Metric Spaces, Metric-Like Spaces, M-Metric Spaces, Meir–Keeler Contraction, metric-like spaces, partial metric spaces, uniform contraction mapping, Meir–Keeler contraction, M-metric spaces, QA1-939, fixed-point, Mathematics

Fields of Science

0101 mathematics, 01 natural sciences

Citation

Karapınar, Erdal;...et.al. (2022). "Fixed-Point Results for Meir–Keeler Type Contractions in Partial Metric Spaces: A Survey", Mathematics, Vol.10, No.17, pp.1-76.

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9

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10

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17

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3109

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10

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10

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3

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