一类广义非线性变分不等式组解的存在唯一性  

The existence and uniqueness of solution for a system of generalized nonlinear variational inequalities

作　　者：隆建军[1] 

机构地区：[1]攀枝花市大河中学,四川攀枝花617061

出　　处：《贵州师范大学学报（自然科学版）》2015年第4期78-82,共5页Journal of Guizhou Normal University：Natural Sciences

基　　金：四川省教育厅自然科学青年基金项目(2011ZA113)

摘　　要：研究了Hilbert空间的一类广义非线性变分不等式组,运用η-次微分算子的预解式技术和辅助原理技术,证明了广义非线性变分不等式组解的存在性和唯一性,推广和发展了一些作者近期的结果。The author studied a new system of generalized nonlinear variational inequalities in Hilbert space. Using the resolvent operator technique of η-subdifferential operator and auxiliary principle,the existenceand uniqueness theorem of solution for this kind of system of generalized nonlinear variational inequalities is got. The result generalized and develop some autho＇s recent results.

关 键 词：非线性映射 非线性变分不等式组 η-次微分算子 预解式技术 辅助原理技术 

分 类 号：O177[理学—数学]