BILEVEL VECTOR PSEUDOMONOTONE EQUILIBRIUM PROBLEMS: DUALITY AND EXISTENCE

被引：0
|
作者：
Chen, Jiawei [1 ]
Liou, Yeong-Cheng [2 ,3 ]
Wen, Ching-Feng [2 ]
机构：
[1] Southwest Univ, Sch Math & Stat, Chongqing 400715, Peoples R China
[2] Cheng Shiu Univ, Dept Informat Management, Kaohsiung 833, Taiwan
[3] Kaohsiung Med Univ, Ctr Gen Educ, Kaohsiung 807, Taiwan
来源：
JOURNAL OF NONLINEAR AND CONVEX ANALYSIS | 2015年 / 16卷 / 07期
关键词：
Bilevel vector pseudomonotone equilibrium problem; duality; existence; pseudomonotonicity; OPTIMIZATION PROBLEMS; ALGORITHMS;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The aim of this paper is devoted to investigate the duality and existence of solutions for a class of bilevel vector pseudomonotone equilibrium problems without involving the information about the solution set of the lower-level equilibrium problem. Firstly, we propose the dual formulations of bilevel vector equilibrium problems (BVEP). Secondly, the primal-dual relationships are derived under cone-convexity and weak pseudo-monotonicity assumptions. Finally, the existence of solutions of BVEP are established without involving the information about the solution set of the lower-level problem.
引用
收藏
页码：1293 / 1303
页数：11
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