Existence Results for Generalized Mixed Vector Variational-like Inequalities with a Variable Ordering Relation

摘要：

The purpose of this paper is to study the solvability of the generalized mixed vector variational-like inequalities (for short, GMVVLI) with a variable ordering relation in reflexive Banach spaces, which is more general including many known vector(saclar) vector variations inequalities and vector(saclar)variational-like inequalities as special cases. According to completely continuous definition we prove the existence results of strong solutions of GMVVLI for monotone vector multifunction by using the KKM-Fan theorem under mild assumptions. Our results presented here are extension and improvement of some earlier and recent results in the literature.

关键词： Generalized mixed vector variational-like inequalities KKM-Fan theorem Complete continuity

作者: Yali Zhao Tingting Zhang

作者单位: College of Mathematics and Physics Bohai University Jinzhou, Liaoning 121013, China

会议类型: 国际会议

会议名称: 2012 International Conference on Computer Science and Electronic Engineering(2012 IEEE计算机科学与电子工程国际会议 ICCSEE 2012)

会议地点: 杭州

会议语种:英文

页码: 70-74

在线出版日期: 2012-03-23（万方平台首次上网日期，不代表论文的发表时间）