自反Banach空间中的广义强非线性混合似变分不等式(英文)  

Generalized Strongly Nonlinear Mixed Variational-like Inequalities in Reflexive Banach Spaces

作　　者：刘亚平[1] 唐亚勇[1] 

机构地区：[1]四川大学数学学院,成都610064

出　　处：《四川大学学报（自然科学版）》2004年第3期489-492,共4页Journal of Sichuan University(Natural Science Edition)

摘　　要：研究了自反Banach空间中的广义强非线性混合似变分不等式,这类变分不等式包含了经典的不等式及其推广,并用极大极小原理证明了广义强非线性混合似变分不等式解的存在性及唯一性.The authors study a new class of generalized strongly nonlinear mixed variational-like inequalities in reflexive Banach spaces which contains the classical variational inequalities and its various generalizations as special cases. By applying a minimax inequality, some existence theorems are proved for solutions to the generalized strongly nonlinear mixed variational-like inequalities.

关 键 词：自反BANACH空间 松驰η-强单调 0-对角凸关系 

分 类 号：O177.91[理学—数学]