弱广义向量拟似变分不等式解的存在性  

Existence Results for Solutions to Weak Generalized Quasivariational-Like Inequality Problems

作　　者：范志强[1] 齐小刚[2] 裴萍[1] 

机构地区：[1]新疆工业高等专科学校基础部,新疆乌鲁木齐830091 [2]西安电子科技大学理学院,陕西西安710071

出　　处：《数学的实践与认识》2011年第2期179-184,共6页Mathematics in Practice and Theory

基　　金：国家自然科学基金(60703118)

摘　　要：研究拓扑向量空间上弱广义向量拟似变分不等式解的存在性问题.与Khaliq和Rashid等在单调或伪单调假设条件下,利用KKM定理证明解的存在性不同,在集值映射是非空凸值映射并且有开下截口的条件下,利用Fan-Browder不动点原理证明解的存在性.We study the existence results for solutions to weak generalized quasivariational-like inequality problems.In the case that the multimap is nonempty convex and has open lower section,we use Fan-Browder type fixed point theorem to prove some existence results of this problem,which is diferent from the works of Khaliq and Rashid,where the multimap is monotonicity or pseudomonotonicity.

关 键 词：向量拟似变分不等式 解的存在性 上半连续 不动点原理 C-对角拟凸 

分 类 号：O177.91[理学—数学]