广义投影下F隐变分不等式解的存在性  

Existence of Solutions of F-Implicit Variational Inequality Problems with Extended Projection Operators

作　　者：陈加伟[1] 邹云志[2] 

机构地区：[1]西华师范大学数学与信息学院,南充637002 [2]四川大学数学学院,成都610064

出　　处：《数学学报（中文版）》2010年第2期375-384,共10页Acta Mathematica Sinica：Chinese Series

基　　金：国家自然科学基金资助项目(60804065);四川省教育厅重点项目(07ZA123);西华师范大学科研启动基金资助项目(08B075)

摘　　要：首先引进了广义(F,g)-投影算子,提出了一个新的例外簇概念,并运用Fan-KKM定理以及例外簇,分别在无单调性与渐近h-g伪单调假设下,研究了自反Banach空间中一类F隐变分不等式的可解性与解集特征问题,得到了新的解的存在性定理.In this paper, the authors investigate a class of F-implicit variational inequality problems in reflexive Banach spaces. By introducing a new concept of the generalized （F, g）-projection operator and a new definition of exceptional family and using Fan-KKM theorem and exceptional family under asymptotic h-g pseudomonotonieity and without monotonicity assumptions, respectively, the authors derive some existence theorems and some properties of the solutions.

关 键 词：F隐变分不等式 例外簇 J-g全连续场 

分 类 号：O177.91[理学—数学]