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.

引用

页数：9

共 48 条

[1] Weak convergence of a relaxed and inertial hybrid projection-proximal point algorithm for maximal monotone operators in Hilbert space [J].