On the topology of partial metric spaces
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AbstractIn 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.
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2012 ◽
Vol 159
(10-11)
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pp. 2642-2648
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2018 ◽
Vol 13
(03)
◽
pp. 2050066
2018 ◽
Vol 103
(11)
◽
pp. 1817-1837
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