Iterative Approximation of Endpoints for Multivalued Mappings in Banach Spaces

被引：12

作者：

Abdeljawad, Thabet ^{[1
,2
,3
]}

Ullah, Kifayat ^{[4
]}

Ahmad, Junaid ^{[4
]}

Mlaiki, Nabil ^{[1
]}

机构：

[1] Prince Sultan Univ, Dept Math & Gen Sci, POB 66833, Riyadh 11586, Saudi Arabia

[2] China Med Univ, Dept Med Res, Taichung 40402, Taiwan

[3] Asia Univ, Dept Comp Sci & Informat Engn, Taichung, Taiwan

[4] Univ Sci & Technol, Dept Math, Bannu 28100, Khyber Pakhtunk, Pakistan

来源：

JOURNAL OF FUNCTION SPACES | 2020年 / 2020卷

关键词：

NONEXPANSIVE-MAPPINGS; FIXED-POINTS; STATIONARY-POINTS; VALUED MAPPINGS; CONVERGENCE; MANN; PAIR;

D O I：

10.1155/2020/2179059

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The purpose of this paper is to introduce the modified Agarwal-O'Regan-Sahu iteration process (S-iteration) for finding endpoints of multivalued nonexpansive mappings in the setting of Banach spaces. Under suitable conditions, some weak and strong convergence results of the iterative sequence generated by the proposed process are proved. Our results especially improve and unify some recent results of Panyanak (J. Fixed Point Theory Appl. (2018)). At the end of the paper, we offer an example to illustrate the main results.

引用

页数：5

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