Convergence of Generalized Quasi-Nonexpansive Mappings in Hyperbolic Space. (14th June 2022)

• Record Type: Journal Article
• Authors: Saleem, Naeem; Rashid, Maliha; Jarad, Fahd; Kalsoom, Amna
• Other Names: Akeroyd John R. Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2022(2022)
• Publication Date: 2022-06-14
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2022/3785584
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : In this article, we consider a wider class of nonexpansive mappings (locally related quasi-nonexpansive) than monotone nonexpansive mappings. We obtained the convergence of fixed point for quasi ϱ -preserving locally related quasi-nonexpansive mappings in hyperbolic space. An iterative process is also used to obtain the convergence results for this mapping. Fixed point is approximated numerically in a nontrivial example by using Matlab.