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On the topology of partial metric spaces
- Source :
- Mathematica Slovaca. 70:135-146
- Publication Year :
- 2020
- Publisher :
- Walter de Gruyter GmbH, 2020.
-
Abstract
- In this paper, we give some necessary and sufficient conditions under which the topology generated by a partial metric is equivalent to the topology generated by a suitably defined metric. Next, we study some new extensions of the Generalized Banach Contraction Principle to partial metric spaces. Moreover, we draw a particular attention to the space of all sequences showing, in particular, that some well-known fixed point theorems for ultrametric spaces, can be used for operators acting in that space. We illustrate our considerations by suitable examples and counterexamples.
Details
- ISSN :
- 13372211 and 01399918
- Volume :
- 70
- Database :
- OpenAIRE
- Journal :
- Mathematica Slovaca
- Accession number :
- edsair.doi...........e72a8abedff08ed03f17533e7dc99b0c