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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Vydané v:International journal of computer mathematics Ročník 97; číslo 1-2; s. 175 - 188
Hlavní autori: Kumam, Wiyada, Pakkaranang, Nuttapol, Kumam, Poom, Cholamjiak, Prasit
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: Abingdon Taylor & Francis 01.02.2020
Taylor & Francis Ltd
Predmet:
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
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Shrnutí: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.
Bibliografia:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:0020-7160
1029-0265
DOI:10.1080/00207160.2018.1476685