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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Vydáno v:Fixed point theory and applications (Hindawi Publishing Corporation) Ročník 2010; číslo 1
Hlavní autor: Romaguera, Salvador
Médium: Journal Article
Jazyk:angličtina
Vydáno: Cham Springer International Publishing 01.01.2010
SpringerOpen
Témata:
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
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Popis
Shrnutí: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