Suzuki’s type characterizations of completeness for partial metric spaces and fixed points for partially ordered metric spaces. (English) Zbl 1241.54035

Paesano, Daniela; Vetro, Pasquale

Topology Appl. 159, No. 3, 911-920 (2012).

The following two abstract and a little artificial notions are studied: (i) partial metric spaces; (ii) \(0\)-complete metric spaces.
Then some formal generalizations of the Banach contraction theorem for mappings in such spaces are obtained. Moreover, a coincidence result is proved.

Reviewer: Lech Górniewicz (Toruń)

MSC:

54H25	Fixed-point and coincidence theorems (topological aspects)
47H10	Fixed-point theorems

Keywords:

fixed points; common fixed points; partial metric spaces; partially ordered metric spaces; partial metric completeness

References:

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