A Note on Best Approximation in 0-Complete Partial Metric Spaces

We study the existence and uniqueness of best proximity points in the setting of 0-complete partial metric spaces. We get our results by showing that the generalizations, which we have to consider, are obtained from the corresponding results in metric spaces. We introduce some new concepts and consi...

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Bibliographic Details
Published in:Abstract and Applied Analysis 2014, Vol.2014 (2014), p.1022-1028
Main Authors: Vetro, Calogero, Samet, Bessem, Jleli, Mohamed Boussairi, Demma, Marta
Format: Article
Language:English
Subjects:
Approximation theory
Banach spaces
Colleges & universities
Mathematical research
Metric spaces
Theory
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Summary:We study the existence and uniqueness of best proximity points in the setting of 0-complete partial metric spaces. We get our results by showing that the generalizations, which we have to consider, are obtained from the corresponding results in metric spaces. We introduce some new concepts and consider significant theorems to support this fact.
ISSN:1085-3375
1687-0409
DOI:10.1155/2014/979170