Connectedness of the sets of weak efficient solutions for generalized vector equilibrium problems

Mathematica Slovaca

Nan-jing Huang¹  Qing-You Liu¹  Xian-Jun Long¹ 

关键词: generalized vector equilibrium problem;    weak efficient solution;    scalarization;    existence;    connectedness;   

DOI  :  10.2478/s12175-011-0077-3

学科分类：数学（综合）

来源: Slovenska Akademia Vied * Matematicky Ustav / Slovak Academy of Sciences, Mathematical Institute

【 摘 要 】

In this paper, a generalized vector equilibrium problem is introduced and studied. A scalar characterization of weak efficient solutions for the generalized vector equilibrium problem is obtained. By using the scalarization result, the existence of the weak efficient solutions and the connectedness of the set of weak efficient solutions for the generalized vector equilibrium problem are proved in locally convex spaces.

【 授权许可】

Unknown