Iterative methods for vector equilibrium and fixed point problems in Hilbert spaces

被引：0

作者：

Wang, San-hua ^{[1
]}

Zhang, Yu-xin ^{[1
]}

Huang, Wen-jun ^{[1
,2
]}

机构：

[1] Nanchang Univ, Dept Math, Nanchang 330031, Jiangxi, Peoples R China

[2] Jiangxi Univ Sci & Technol, Teaching Dept Basic Subjects, Nanchang 330013, Jiangxi, Peoples R China

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2022年 / 2022卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Vector equilibrium problem; Fixed point problem; Iterative algorithm; Convergence analysis; NONEXPANSIVE-MAPPINGS; EXTRAGRADIENT METHODS; MINIMAX THEOREM; ALGORITHM; PRINCIPLE;

D O I：

10.1186/s13660-022-02868-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, algorithms for finding common solutions of strong vector equilibrium and fixed point problems of multivalued mappings are considered. First, a Minty vector equilibrium problem is introduced and the relationship between the Minty vector equilibrium problem and the strong equilibrium problem is discussed. Then, by applying the Minty vector equilibrium problem, projection iterative methods are proposed and some convergence results are established in Hilbert spaces. The main results obtained in this paper develop and improve some recent works in this field.

引用

页数：17

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