Asymptotic Behavior of Iterates of a Generic Cyclical Nonexpansive Mapping. (2nd January 2022)

• Record Type: Journal Article
• Authors: Zaslavski, Alexander J.
• Is Part Of: Numerical functional analysis and optimization. Volume 43:Number 1(2022)
• Page Start: 116
• Page End: 125
• Publication Date: 2022-01-02
• Subjects: Complete metric space -- cyclical mapping -- generic element -- iterate; 47H04 -- 47H09 -- 47H10 -- 54E50 -- 54E52; Functional analysis -- Periodicals; Numerical analysis -- Periodicals; Mathematical optimization -- Periodicals; Numerical Analysis, Computer-Assisted; 515.705
• DOI: 10.1080/01630563.2022.2029484
• Languages: English
• ISSNs: 0163-0563

Abstract

Abstract: In this paper we consider a complete metric space of cyclical nonexpansive mappings acting on a union of two sets in a complete hyperbolic space with an empty intersection. Using Baire category approach, we show for most mappings the distance between iterates converges to the distance between these two sets.