Convergence analysis of modified Picard-S hybrid iterative algorithms for total asymptotically nonexpansive mappings in Hadamard spaces. Issue 1 (1st February 2020)

• Record Type: Journal Article
• Authors: Kumam, Wiyada; Pakkaranang, Nuttapol; Kumam, Poom; Cholamjiak, Prasit
• Is Part Of: International journal of computer mathematics. Volume 97:Issue 1/2(2020)
• Page Start: 175
• Page End: 188
• Publication Date: 2020-02-01
• Subjects: Total asymptotically nonexpansive mappings -- modified Picard-S hybrid iteration -- modified Picard-Ishikawa hybrid iteration -- CAT(0) spaces; 47H09 -- 47H10; Computers -- Periodicals; Numerical analysis -- Periodicals; Automation -- Periodicals; 004.0151
• DOI: 10.1080/00207160.2018.1476685
• Languages: English
• ISSNs: 0020-7160

Abstract

ABSTRACT: In this paper, we introduce new type iterative scheme called a 'modified Picard- S hybrid' iterative algorithm to establish Δ-convergence and strong convergence theorems under suitable conditions for total asymptotically nonexpansive mappings in CAT(0) spaces. Our results in the paper improve and extend many results appeared in the literature. Moreover, we also illustrate numerical examples for the proposed iteration process to compare speed of convergence among the existing iterative algorithms.