摘要
本文在非紧设置下对具有非单调型映象Ｆ的ＧＮＶＩＰ（Ｆ，ｇ，ｂ，Ｋ）证明了解的存在性定理。给出了结果对于补问题和重合点问题的应用。
Lex X be a nonempty bounded convex subset of a locally convex space E,F:X→2E*,g:X→E and b(·,·):X×X→R.We introduce the generalized nonlinear variational inequality problem (GNVI(F,g,b,X) ):find and such that.In this paper,an existence theorem of solutions for the GNVIP(F,g,b,X)with nonmonotone mapping F is proved under noncompact setting.Some applications to the complementarity problems and coincidence problems are given.
出处
《四川师范大学学报（自然科学版）》
CAS
CSCD
1994年第6期10-16,共7页
Journal of Sichuan Normal University（Natural Science）
基金
国家自然科学基金
关键词
非线性
变分不等式
重合点
Generalized nonlinear variational inequality,coincidence theorem,upper semi continuous,upper hemi-continuous
