SOLVABILITY OF SPLIT VECTOR VARIATIONAL INEQUALITIES IN BANACH SPACES

被引：0

作者：

Li, Jinlu ^{[1
]}

Xu, Hong-Kun ^{[2
,3
]}

机构：

[1] Shawnee State Univ, Dept Math Sci, Portsmouth, OH 45662 USA

[2] Hangzhou Dianzi Univ, Sch Sci, Dept Math, Hangzhou 310018, Zhejiang, Peoples R China

[3] King Abdulaziz Univ, Dept Math, Jeddah, Saudi Arabia

来源：

JOURNAL OF NONLINEAR AND CONVEX ANALYSIS | 2017年 / 18卷 / 10期

关键词：

Partial order; Fan-KKM theorem; split variational inequality; vector variational inequality; fixed point; ALGORITHM;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We first extend the concept of split variational inequalities to split vector variational inequalities in Banach spaces, and then apply the Fan-KKM theorem to study the solvability of split vector variational inequalities. As consequences, we provide some existence theorems of solutions to split variational inequalities and classical vector variational inequalities.

引用

页码：1883 / 1890

页数：8

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