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Banach's fixed point theorem for partial metric spaces
Oltra, Sandra
Valero, Oscar
2004
Abstract
In 1994, S.G. Matthews introduced the notion of a par-
tial metric space and obtained, among other results, a Banach
contraction mapping for these spaces. Later on, S.J. O’Neill gen-
eralized Matthews’ notion of partial metric, in order to establish
connections between these structures and the topological aspects
of domain theory. Here, we obtain a Banach fixed point theorem
for complete partial metric spaces in the sense of O’Neill. Thus,
Matthews’ fixed point theorem follows as special case of our result.
Series
Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics
36 (2004)
Publisher
Università degli Studi di Trieste. Dipartimento di Matematica e Informatica
Source
Sandra Oltra, Oscar Valero, "Banach's fixed point theorem for partial metric spaces", in: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics, 36 (2004), pp. 17-26.
Languages
en
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