STRONG CONVERGENCE THEOREMS FOR A NONMONOTONE EQUILIBRIUM PROBLEM AND A QUASI-VARIATIONAL INCLUSION PROBLEM

被引：0
|
作者：
Yu, Youli [1 ]
Yin, Tzu-Chien [2 ]
机构：
[1] Taizhou Univ, Sch Elect & Informat Engn, Linhai 317000, Peoples R China
[2] China Med Univ, China Med Univ Hosp, Res Ctr Interneural Comp, Taichung 40402, Taiwan
来源：
JOURNAL OF NONLINEAR AND CONVEX ANALYSIS | 2024年 / 25卷 / 03期
关键词：
Equilibrium problem; variational inclusions; projection; strong convergence; APPROXIMATING SOLUTIONS; AUXILIARY PRINCIPLE; ALGORITHM;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we survey nonmonotone equilibrium problems and quasi-variational inclusions in Hilbert spaces. We construct an iterative sequence for approximating a common solution of a nonmonotone equilibrium problem and a quasi-variational inclusion by utilizing the auxiliary problem method. A strong convergence theorem is proved provided several assumptions are satisfied.
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页码：503 / 512
页数：10
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