Convergence Theorems for Non-Self Mappings in CAT(0) Spaces. (3rd June 2017)

• Record Type: Journal Article
• Authors: Tufa, Abebe R.; Zegeye, H.; Thuto, M.
• Is Part Of: Numerical functional analysis and optimization. Volume 38:Number 6(2017)
• Page Start: 705
• Page End: 722
• Publication Date: 2017-06-03
• Subjects: CAT(0) space -- demicontractive mappings -- fixed points -- Hausdorff distance -- multi-valued mappings -- non-self mappings; 37C25 -- 47H04 -- 47H10; Functional analysis -- Periodicals; Numerical analysis -- Periodicals; Mathematical optimization -- Periodicals; Numerical Analysis, Computer-Assisted; 515.705
• DOI: 10.1080/01630563.2016.1261156
• Languages: English
• ISSNs: 0163-0563

Abstract

ABSTRACT: In this paper, we prove strong convergence of Mann iterative schemes to fixed points of multi-valued demicontractive non-self mappings in complete CAT(0) spaces under appropriate conditions. In addition, △− convergence or strong convergence of Mann iterative scheme to a fixed point of single-valued k -strictly pseudocontractive non-self mapping is obtained. Our theorems improve and unify most of the results in the literature.