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

被引：0

作者：

San-hua Wang

Yu-xin Zhang

Wen-jun Huang

机构：

[1] Nanchang University,Department of Mathematics

[2] Jiangxi University of Science and Technology,Teaching Department of Basic Subjects

来源：

Journal of Inequalities and Applications | / 2022卷

关键词：

Vector equilibrium problem; Fixed point problem; Iterative algorithm; Convergence analysis; 65K15; 47J25; 90C33;

D O I：

暂无

中图分类号：

学科分类号：

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

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