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.
Demma, M., Jleli, M., Samet, B., Vetro, C. (2014). A note on best approximation in 0-complete partial metric spaces. ABSTRACT AND APPLIED ANALYSIS, 2014 [10.1155/2014/979170].
A note on best approximation in 0-complete partial metric spaces
VETRO, Calogero
2014-01-01
Abstract
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.
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