A Kirk Type Characterization of Completeness for Partial Metric Spaces

We extend the celebrated result of W. A. Kirk that a metric space "Equation missing" is complete if and only if every Caristi self-mapping for "Equation missing" has a fixed point, to partial metric spaces.

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Bibliographische Detailangaben
Veröffentlicht in:Fixed point theory and applications (Hindawi Publishing Corporation) Jg. 2010; H. 1
1. Verfasser: Romaguera, Salvador
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Cham Springer International Publishing 01.01.2010
SpringerOpen
Schlagworte:
Analysis
Applications of Mathematics
Differential Geometry
Impact of Kirk's Results on the Development of Fixed Point Theory
Mathematical and Computational Biology
Mathematics
Mathematics and Statistics
Research Article
Topology
Fixed Point Theorem
Natural Number
Differential Geometry
Related Result
Point Theorem
ISSN:1687-1812, 1687-1820, 1687-1812
Online-Zugang:Volltext
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Beschreibung
Zusammenfassung:We extend the celebrated result of W. A. Kirk that a metric space "Equation missing" is complete if and only if every Caristi self-mapping for "Equation missing" has a fixed point, to partial metric spaces.
ISSN:1687-1812
1687-1820
1687-1812
DOI:10.1155/2010/493298