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Zbl 1087.54020
Valero, Oscar
On Banach fixed point theorems for partial metric spaces. (English)
[J] Appl. Gen. Topol. 6, No. 2, 229-240 (2005). ISSN 1576-9402

Summary: We prove several generalizations of the Banach fixed point theorem for partial metric spaces (in the sense of O'Neill) given in [{\it S. Oltra} and {\it O. Valero}, Rend. Ist. Math. Univ. Triest. 36, 17--26 (2004; Zbl 1080.54030)], obtaining as a particular case of our results the Banach fixed-point theorem of {\it S. G. Matthews} [Ann. N. Y. Acad. Sci. 728, 183--197 (1994; Zbl 0911.54025)], and some well-known classical fixed-point theorems when the partial metric is, in fact, a metric.

MSC 2000:: *54H25 Fixed-point theorems in topological spaces
54E50 Complete metric spaces
54E99 Topological spaces with richer structures
68Q55 Semantics

Keywords: dualistic partial metric; complete; quasi-metric

Citations: Zbl 1080.54030; Zbl 0911.54025

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