Convergence analysis of modified Picard-S hybrid iterative algorithms for total asymptotically nonexpansive mappings in Hadamard spaces

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 impro...

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Bibliographic Details
Published in:International journal of computer mathematics Vol. 97; no. 1-2; pp. 175 - 188
Main Authors: Kumam, Wiyada, Pakkaranang, Nuttapol, Kumam, Poom, Cholamjiak, Prasit
Format: Journal Article
Language:English
Published: Abingdon Taylor & Francis 01.02.2020
Taylor & Francis Ltd
Subjects:
Algorithms
Asymptotic properties
CAT spaces
Convergence
Iterative algorithms
Iterative methods
modified Picard-Ishikawa hybrid iteration
modified Picard-S hybrid iteration
Queuing theory
Total asymptotically nonexpansive mappings
ISSN:0020-7160, 1029-0265
Online Access:Get full text
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Summary: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.
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ISSN:0020-7160
1029-0265
DOI:10.1080/00207160.2018.1476685