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...

Celý popis

Uloženo v:

Podrobná bibliografie
Vydáno v:	International journal of computer mathematics Ročník 97; číslo 1-2; s. 175 - 188
Hlavní autoři:	Kumam, Wiyada, Pakkaranang, Nuttapol, Kumam, Poom, Cholamjiak, Prasit
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	Abingdon Taylor & Francis 01.02.2020 Taylor & Francis Ltd
Témata:	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
On-line přístup:	Získat plný text
Tagy:	Přidat tag Žádné tagy, Buďte první, kdo vytvoří štítek k tomuto záznamu!

Popis
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.
Bibliografie:	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