Generalized vector F-variational inequalities and vector F-complementarity problems for point-to-set mappings

被引：8
|
作者：
Huang, Nan-Jing [2 ]
Li, Jun [3 ]
Thompson, H. B. [1 ]
机构：
[1] Univ Queensland, Dept Math, Brisbane, Qld 4072, Australia
[2] Sichuan Univ, Dept Math, Chengdu 610064, Sichuan, Peoples R China
[3] China W Normal Univ, Dept Math, Nanchong 637002, Sichuan, Peoples R China
来源：
MATHEMATICAL AND COMPUTER MODELLING | 2008年 / 48卷 / 5-6期
基金：
高等学校博士学科点专项科研基金; 中国国家自然科学基金;
关键词：
generalized vector F-variational inequality problems; generalized vector F-complementarity problems; KKM-mapping; weak C-pseudomonotonicity;
D O I：
10.1016/j.mcm.2006.01.030
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
In this paper, we study a new generalized vector F-variational inequality and a new generalized vector F-complementarity problem for point-to-set mappings in Hausdorff topological vector spaces. We establish the equivalence between the generalized vector F-variational inequality and the generalized vector F-complementarity problem under certain assumptions. By considering the existence of solutions for the vector F-variational inequality with a single-valued mapping and using the continuous selection theorem, we obtain some new existence theorems of solutions for the generalized vector F-variational inequality and the generalized vector F-complementarity problem, respectively. (C) 2008 Elsevier Ltd. All rights reserved.
引用
收藏
页码：908 / 917
页数：10
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