On Existence and Uniqueness of g-Best Proximity Points under φ, θ, α, g-Contractivity Conditions and Consequences. (2nd April 2014)

• Record Type: Journal Article
• Authors: Kumam, Poom; Roldán López de Hierro, Antonio Francisco
• Other Names: Vetro Calogero Academic Editor.
• Is Part Of: Abstract and applied analysis. Volume 2014(2014)
• Publication Date: 2014-04-02
• Subjects: Mathematical analysis -- Periodicals; Mathematical analysis; Applied Mathematics; Mathematical Analysis; Periodicals; 515.05
• DOI: 10.1155/2014/234027
• Languages: English
• ISSNs: 1085-3375

Abstract

Abstract : We collect, improve, and generalize very recent results due to Mongkolkeha et al. (2014) in three directions: firstly, we study g -best proximity points; secondly, we employ more general test functions than can be found in that paper, which lets us prove best proximity results using different kinds of control functions; thirdly, we introduce and handle a weak version of the P -property. Our results can also be applied to the study of coincidence points between two mappings as a particular case. As a consequence, the contractive condition we introduce is more general than was used in the mentioned paper.