Convergence theorems for total asymptotically nonexpansive single-valued and quasi nonexpansive multi-valued mappings in hyperbolic spaces

• Autorzy: Chuadchawna Preeyalak , Arajzadeh Ali , Kaewcharoen Anchalee

Identyfikatory

DOI

10.1515/jaa-2020-2038

• Języki publikacji: EN

Abstrakty

EN

In this paper, we discuss the Δ-convergence and strong convergence for the iterative sequence generated by the proposed scheme to approximate a common fixed point of a total asymptotically nonexpansive single-valued mapping and a quasi nonexpansive multi-valued mapping in a complete uniformly convex hyperbolic space. Finally, by giving an example, we illustrate our result.

Słowa kluczowe

EN

total asymptotically nonexpansive single-valued mappings; quasi nonexpansive multi-valued mappings; Delta-convergence; uniformly convex hyperbolic spaces; condition (E)

• Wydawca: De Gruyter
• Czasopismo: Journal of Applied Analysis
• Rocznik: 2021
• Tom: Vol. 27, nr 1
• Strony: 129--142
• Opis fizyczny: Bibliogr. 16 poz.

Twórcy

autor

Chuadchawna Preeyalak

• Department of Mathematics, Faculty of Science, Naresuan University, Phitsanulok 65000, Thailand

autor

Arajzadeh Ali

• Department of Mathematics, Faculty of Science, Razi University, Kermanshah, Iran

autor

Kaewcharoen Anchalee

• Department of Mathematics, Faculty of Science, Naresuan University, Phitsanulok 65000, Thailand

Bibliografia

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2021)