Existence results for generalized nonlinear vector variational-like inequalities with set-valued mapping

被引：6
作者：
Xiao, Gang [1 ]
Fan, Zhiqiang [2 ]
Qi, Xiaogang [3 ]
机构：
[1] Hanshan Normal Univ, Dept Math & Informat Technol, Chaozhou 521041, Guangdong, Peoples R China
[2] Xinjiang Polytech Coll, Dept Fundamental Educ, Urumqi 830091, Xinjiang, Peoples R China
[3] Xidian Univ, Sch Sci, Xian 710071, Shaanxi, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2010年 / 23卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Generalized nonlinear vector variational-like inequality; Maximal element theorem; Upper semicontinuous; Diagonal convexity; Locally convex topological vector space; FIXED-POINT; THEOREMS;
D O I：
10.1016/j.aml.2009.07.023
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we introduce and study a class of generalized nonlinear vector variational-like inequality problems, which includes generalized nonlinear vector variational inequality problems, generalized vector variational inequality problems and generalized vector variational-like inequality problems and so on. Applying maximal element theorem, we prove the existence of its solutions in the setting of locally convex topological vector space. (C) 2009 Elsevier Ltd. All rights reserved.
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页码：44 / 47
页数：4
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