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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Bibliographic Details
Published in:Fixed point theory and applications (Hindawi Publishing Corporation) Vol. 2010; no. 1
Main Author: Romaguera, Salvador
Format: Journal Article
Language:English
Published: Cham Springer International Publishing 01.01.2010
SpringerOpen
Subjects:
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 Access:Get full text
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Description
Summary: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