四川师范大学学报（自然科学版）2012，Vol.35Issue(4)：495-499,5.DOI:10.3969/j.issn.1001-8395.2012.04.013
广义集值向量变分不等式的例外簇
Exceptional Family Elements for Set-Valued Mapping of Generalized Vector Variational Inequalities
摘要
Abstract
Recently, the notion of exceptional family elements has become a very promising tool to investigate the solvability of variational inequality problems. Many scholars proposed various types of notions of exceptional family elements to handle the solvability of variational inequality problems by using topological degree theory or fixed point theory. However, these studies focus mostly on single-valued variational inequality problems rather than set-valued types. In order to study the solution to existing problems of generalized set-valued vector variational inequality in Banach space, a kind of C-exceptional family elements is introduced. The corresponding existence theorem is given, and thus an alternative conclusion of "generalized vector variational inequality has a solution, otherwise there exists α C-exceptional family elements" is obtained.关键词
广义集值向量变分不等式/C-例外簇/α-C-例外簇/存在性定理Key words
generalized vector variational inequalities/ C-exceptional family elements/ a-C-exceptional family elements/ existence theorem分类
数理科学引用本文复制引用
周密,王敏..广义集值向量变分不等式的例外簇[J].四川师范大学学报（自然科学版）,2012,35(4):495-499,5.基金项目
海南省自然科学基金(110009)资助项目 （110009）
