Two Extensions of Diametrically Contractive Mappings. (11th March 2020)

• Record Type: Journal Article
• Authors: Sankar Raj, V.; Piramatchi, T.
• Is Part Of: Numerical functional analysis and optimization. Volume 41:Number 4(2020)
• Page Start: 432
• Page End: 441
• Publication Date: 2020-03-11
• Subjects: Best proximity points -- diametrically contractive mappings -- diametrically r–contractive -- fixed points -- sharp P–property; 47H09 -- 47H10; Functional analysis -- Periodicals; Numerical analysis -- Periodicals; Mathematical optimization -- Periodicals; Numerical Analysis, Computer-Assisted; 515.705
• DOI: 10.1080/01630563.2019.1659313
• Languages: English
• ISSNs: 0163-0563

Abstract

Abstract: In this manuscript, we introduce two extensions of diametrically contractive mappings and provided sufficient conditions for the existence of a generalized fixed point, called the best proximity point, for such mappings. Our results generalize the fixed point theorems of Xu, Dhompongsa, and Yingtaweesittikul.