On M-Metric Space and Fixed Point Theorems.
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 construc...
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| Published: |
2019
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| Online Access: | https://dspace.auk.edu.kw/handle/11675/5748 http://topology.auburn.edu/tp/reprints/v54/ |
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| Summary: | 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. |
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