Fixed Points of Monotone Total Asymptotically Nonexpansive Mapping in Hyperbolic Space via New Algorithm. (29th July 2021)

• Record Type: Journal Article
• Authors: Kalsoom, Amna; Rashid, Maliha; Sun, Tian-Chuan; Bibi, Amna; Ghaffar, Abdul; Inc, Mustafa; Aly, Ayman A.
• Other Names: Hussain Nawab Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2021(2021)
• Publication Date: 2021-07-29
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2021/8482676
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : In this article, we consider an extensive class of monotone nonexpansive mappings and introduce a new iteration algorithm to approximate the fixed point for monotone total asymptotically nonexpansive mappings in the framework of hyperbolic space. Faster convergence and stability results are proved for that iteration; also, fixed point is approximated numerically in a nontrivial example by using MATLAB.