Construction of Fixed Points of Asymptotically Nonexpansive Mappings in Uniformly Convex Hyperbolic Spaces. (15th June 2021)

• Record Type: Journal Article
• Authors: Sipoş, Andrei
• Is Part Of: Numerical functional analysis and optimization. Volume 42:Number 6(2021)
• Page Start: 696
• Page End: 711
• Publication Date: 2021-06-15
• Subjects: Asymptotically nonexpansive mappings -- fixed points -- hyperbolic spaces -- uniformly convex hyperbolic spaces; 47H09 -- 47H10 -- 47J25; Functional analysis -- Periodicals; Numerical analysis -- Periodicals; Mathematical optimization -- Periodicals; Numerical Analysis, Computer-Assisted; 515.705
• DOI: 10.1080/01630563.2021.1924780
• Languages: English
• ISSNs: 0163-0563

Abstract

Abstract: Kohlenbach and Leuştean have shown in 2010 that any asymptotically nonexpansive self-mapping of a bounded nonempty UCW -hyperbolic space has a fixed point. In this paper, we adapt a construction due to Moloney in order to provide a sequence that converges strongly to such a fixed point.