摘要
在Banach空间中引进了广义(F,g)-投影算子,定义了一个新的例外簇概念,并运用例外簇研究了自反Ba-nach空间中一类F隐变分不等式的可解性问题,得到了新的解的存在性定理.
In Banach spaces, by introducing a new concept of the extended (F, g)-projection operator and a new definition of exceptional family and using exceptional family under asymptotic pseudomonotonicity,this paper studies a class of F-implicit variational inequality problems in reflexive Banach spaces and derives the existence theorems of the new solutions.
出处
《西南大学学报(自然科学版)》
CAS
CSCD
北大核心
2009年第10期134-137,共4页
Journal of Southwest University(Natural Science Edition)
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)
关键词
F隐变分不等式
例外簇
J-g全连续场
F-implicit variational inequality
exceptional family
J-g completely continuous field