Fixed-Point Results for Meir–Keeler Type Contractions in Partial Metric Spaces: A Survey
Erdal Karapınar, Ravi P. Agarwal, Seher Sultan Yeşilkaya, Chao Wang
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.
Topics & Concepts
Metric spaceContraction (grammar)MathematicsFixed pointPure mathematicsMetric (unit)Convex metric spaceMetric mapComputer scienceMathematical analysisBusinessPhilosophyMarketingLinguisticsFixed Point Theorems Analysis