On M-Metric Space and Fixed Point Theorems.

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Issue Date
2019
Authors
Samer Assaf
Keywords
Type
Journal Article
Abstract
In this paper we make some observations concerning M−metric spaces and point out some discrepancies in some proofs found in the literature. To remedy this, we propose a new topolog- ical construction and prove that it is, in fact, a generalization of a partial metric space. Then, using this construction, we present our main theorem, having as its corollaries the fixed point theorems found in previous publications.
Citation
Samer Assaf: On M-Metric Space and Fixed Point Theorems. Topology Proceedings.54 (2019) pp 81-102. (E published on September 27, 2018)