An Iterative Algorithm for Solving Fixed Point Problems and Quasimonotone Variational Inequalities

被引：1
|
作者：
Yin, Tzu-Chien [1 ]
Wu, Yan-Kuen [2 ]
Wen, Ching-Feng [3 ,4 ]
机构：
[1] China Med Univ, China Med Univ Hosp, Res Ctr Interneural Comp, Taichung 40402, Taiwan
[2] Zhejiang Yuexiu Univ Foreign Languages, Sch Int Business, Shaoxing Key Lab Intelligent Monitoring & Prevent, Shaoxing City, Zhejiang, Peoples R China
[3] Kaohsiung Med Univ, Ctr Fundamental Sci, Res Ctr Nonlinear Anal & Optimizat, Kaohsiung 80708, Taiwan
[4] Kaohsiung Med Univ Hosp, Dept Med Res, Kaohsiung 80708, Taiwan
来源：
JOURNAL OF MATHEMATICS | 2022年 / 2022卷
关键词：
PROJECTION METHOD; EXTRAGRADIENT METHOD; STRONG-CONVERGENCE; WEAK-CONVERGENCE; GRADIENT METHODS; OPERATORS; MAPPINGS; SYSTEMS;
D O I：
10.1155/2022/8644675
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we survey a common problem of the fixed point problem and the quasimonotone variational inequality problem in Hilbert spaces. We suggest an iterative algorithm for finding a common element of the solution of a quasimonotone variational inequality and the fixed point of a pseudocontractive operator. Convergence theorems are shown under some mild conditions. Several corollaries are also obtained.
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收藏
页数：9
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