赋范空间关于强变分不等式的α-例外簇  

α-EXCEPTIONAL FAMILY OF ELEMENTS FOR STRONG VARIATIONAL INEQUALITY IN NORMED SPACES

作　　者：韦丽兰[1] 黄力人[1] 

机构地区：[1]华南师范大学数学科学学院,广东广州510631

出　　处：《华南师范大学学报（自然科学版）》2011年第1期43-45,共3页Journal of South China Normal University(Natural Science Edition)

摘　　要：在赋范空间提出一个关于强变分不等式问题的α-例外簇的概念,推广了已有的例外簇的概念,并给出相应的解的存在性定理,得到择一型"强变分不等式问题有解,否则存在一个α-例外簇".A new concept of α-exceptional family of elements for the strong variational inequality problem in the normed space is introduced,which generalizes the existing concept of exceptional family of elements.The corresponding existence theorem is given,and thus an alternative conclusion of ＂strong variational inequality problem has a solution,otherwise there exists a α-exceptional family of elements＂ is obtained.

关 键 词：强变分不等式问题 α-例外簇 存在性定理 

分 类 号：O211.2[理学—概率论与数理统计]