Existence of Solutions to Generalized Vector Quasi-equilibrium Problems with Set-Valued Mappings

被引：0

作者：

Zhao, Yali ^{[1
]}

Lu, Hong ^{[1
]}

Wang, Chao ^{[1
]}

机构：

[1] Bohai Univ, Coll Math & Phys, Jinzhon 121013, Liaoning, Peoples R China

来源：

PROCEEDINGS OF THE 2016 INTERNATIONAL CONFERENCE ON ARTIFICIAL INTELLIGENCE: TECHNOLOGIES AND APPLICATIONS | 2016年 / 127卷

关键词：

generalized vector quasi-equilibrium problem; maximal element theorem; upper semicontinuity; diagonal convexity; escaping sequence; VARIATIONAL-INEQUALITIES; MINIMAX INEQUALITIES; THEOREMS; SPACES;

D O I：

暂无

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

In this paper, we introduce and study a class of generalized vector quasi-equilibrium problems, which includes generalized vector quasi-variational-like inequality problems, generalized vector equilibrium problems, generalized vector variational inequality problems as special cases. We use the maximal element theorem with an escaping sequence to prove the existence results of solutions for the class of generalized vector quasi-equilibrium problems without any monotonicity conditions in the setting of locally convex topological vector space. The results presented here improve and extend the corresponding results in this area.

引用

页数：5

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