Best Proximity Point for α-ψ-Proximal Contractive Multimaps. (24th July 2014)

• Record Type: Journal Article
• Authors: Ali, Muhammad Usman; Kamran, Tayyab; Shahzad, Naseer
• Other Names: Kumam Poom Academic Editor.
• Is Part Of: Abstract and applied analysis. Volume 2014(2014)
• Publication Date: 2014-07-24
• Subjects: Mathematical analysis -- Periodicals; Mathematical analysis; Applied Mathematics; Mathematical Analysis; Periodicals; 515.05
• DOI: 10.1155/2014/181598
• Languages: English
• ISSNs: 1085-3375

Abstract

Abstract : We extend the notions of α -ψ -proximal contraction and α -proximal admissibility to multivalued maps and then using these notions we obtain some best proximity point theorems for multivalued mappings. Our results extend some recent results by Jleli and those contained therein. Some examples are constructed to show the generality of our results.