Iterative Methods of Weak and Strong Convergence Theorems for the Split Common Solution of the Feasibility Problems, Generalized Equilibrium Problems, and Fixed Point Problems

被引：3

作者：

Rezapour, Shahram ^{[1
,2
]}

Wang, Yuanheng ^{[3
]}

Zakeri, Seyyed Hasan ^{[1
]}

机构：

[1] Azarbaijan Shahid Madani Univ, Dept Math, Tabriz, Iran

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

[3] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Zhejiang, Peoples R China

来源：

JOURNAL OF MATHEMATICS | 2020年 / 2020卷

基金：

中国国家自然科学基金;

关键词：

VARIATIONAL INEQUALITY PROBLEMS; NONEXPANSIVE-MAPPINGS; ACCRETIVE-OPERATORS; MONOTONE-OPERATORS; ALGORITHMS; PROJECTION; ISHIKAWA;

D O I：

10.1155/2020/6689015

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The purpose of this paper is to introduce the extragradient methods for solving split feasibility problems, generalized equilibrium problems, and fixed point problems involved in nonexpansive mappings and pseudocontractive mappings. We establish the results of weak and strong convergence under appropriate conditions. As applications of our three main theorems, when the mappings and their domains take different types of cases, we can obtain nine iterative approximation theorems and corollas on fixed points, variational inequality solutions, and equilibrium points.

引用

页数：22

共 36 条

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