Modified Mann Subgradient-like Extragradient Rules for Variational Inequalities and Common Fixed Points Involving Asymptotically Nonexpansive Mappings

被引：1
|
作者：
Ceng, Lu-Chuan [1 ]
Shehu, Yekini [2 ]
Yao, Jen-Chih [3 ,4 ]
机构：
[1] Shanghai Normal Univ, Dept Math, Shanghai 200234, Peoples R China
[2] Zhejiang Normal Univ, Coll Math & Comp Sci, Jinhua 321004, Peoples R China
[3] China Med Univ, China Med Univ Hosp, Res Ctr Interneural Comp, Taichung 40402, Taiwan
[4] Natl Sun Yat Sen Univ, Dept Appl Math, Kaohsiung 80424, Taiwan
来源：
MATHEMATICS | 2022年 / 10卷 / 05期
关键词：
modified Mann subgradient-like extragradient rule; pseudo-monotone variational inequality; common fixed point problem; asymptotically nonexpansive mapping; line-search process; STRONG-CONVERGENCE; ALGORITHMS;
D O I：
10.3390/math10050779
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In a real Hilbert space, we aim to investigate two modified Mann subgradient-like methods to find a solution to pseudo-monotone variational inequalities, which is also a common fixed point of a finite family of nonexpansive mappings and an asymptotically nonexpansive mapping. We obtain strong convergence results for the sequences constructed by these proposed rules. We give some examples to illustrate our analysis.
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