In: Mathematica Slovaca, vol. 70, no. 1
Dariusz Bugajewski - Ruidong Wang
Detaily:
Rok, strany: 2020, 135 - 146
Kľúčové slová:
formal power series; Generalized Banach Contraction Principle; nonexpansive mapping; partial metric space; spherical completeness; ultrametric space; weakly contractive mapping; weighted graph
O článku:
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.
Ako citovať:
ISO 690:
Bugajewski, D., Wang, R. 2020. On the topology of partial metric spaces. In Mathematica Slovaca, vol. 70, no.1, pp. 135-146. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0338
APA:
Bugajewski, D., Wang, R. (2020). On the topology of partial metric spaces. Mathematica Slovaca, 70(1), 135-146. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0338
O vydaní:
Vydavateľ: Mathematical Institute, Slovak Academy of Sciences, Bratislava
Publikované: 13. 1. 2020