Approximate Benson efficient solutions for set-valued equilibrium problems

被引：4

作者：

Hu, Shasha ^{[1
]}

Xu, Yihong ^{[1
]}

Niu, Zhichao ^{[1
]}

机构：

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

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2020年 / 2020卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Approximate Benson efficient solution; Near cone-subconvexlikeness; Optimality condition; Set-valued equilibrium problem; OPTIMALITY CONDITIONS; VECTOR OPTIMIZATION; PROPER EFFICIENCY; SUBCONVEXLIKENESS; SCALARIZATION; MAPS;

D O I：

10.1186/s13660-020-02352-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In locally convex Hausdorff topological vector spaces, the approximate Benson efficient solution is proposed for set-valued equilibrium problems and its relationship to the Benson efficient solution is discussed. Under the assumption of generalized convexity, by using a separation theorem for convex sets, Kuhn-Tucker-type and Lagrange-type optimality conditions for set-valued equilibrium problems are established, respectively.

引用

页数：16

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