A Note on Best Approximation in 0-Complete Partial Metric Spaces. (23rd October 2014)

• Record Type: Journal Article
• Authors: Demma, Marta; Jleli, Mohamed; Samet, Bessem; Vetro, Calogero
• Other Names: Karapınar Erdal Academic Editor.
• Is Part Of: Abstract and applied analysis. Volume 2014(2014)
• Publication Date: 2014-10-23
• Subjects: Mathematical analysis -- Periodicals; Mathematical analysis; Applied Mathematics; Mathematical Analysis; Periodicals; 515.05
• DOI: 10.1155/2014/979170
• Languages: English
• ISSNs: 1085-3375

Abstract

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.