Thakur's Iterative Scheme for Approximating Common Fixed Points to a Pair of Relatively Nonexpansive Mappings. (22nd April 2022)

• Record Type: Journal Article
• Authors: Gopi, R.; Pragadeeswarar, V.; De La Sen, M.
• Other Names: Ghareeb A. Academic Editor.
• Is Part Of: Journal of mathematics. Volume 2022(2022)
• Publication Date: 2022-04-22
• Subjects: Mathematics -- Periodicals; Mathematics; Periodicals; 510
• DOI: 10.1155/2022/5537768
• Languages: English
• ISSNs: 2314-4629

Abstract

Abstract : In this work, we propose the three-step Thakur iterative process associated with two mappings in the setting of Banach space. Using this Thakur iteration, we approximate a common fixed point for a pair of noncyclic, relatively nonexpansive mappings. And we support our main result with a numerical example. Also, we give a stronger version of our main result by using von Neumann sequences. Finally, we provide some corollaries on the convergence of common best proximity points in uniformly convex Banach space.