自反Banach空间内的一般非线性变分不等式(英文)  

ON GENERAL NONLINEAR VARIATIONAL INEQUALITIES IN REFLEXIVE BANACH SPACES *

作　　者：丁协平[1] 

机构地区：[1]四川师范大学数学系

出　　处：《四川师范大学学报（自然科学版）》1998年第2期125-131,共7页Journal of Sichuan Normal University（Natural Science）

摘　　要：在自反Ｂａｎａｃｈ空间内研究了一类一般非线性变分不等式．它包含了经典变分不等式及其各类推广作为特例．由应用极小极大不等式和辅助原理技巧，一般非线性变分不等式解的某些存在唯一性定理在自反Ｂａｎａｃｈ空间内被证明．This paper studies a class of general nonlinear variational inequalities under reflexive Banach space setting which includes the classical variational inequalities and its various generalizations as special cases. By applying a minimax inequality and the auxiliary principle, some existence uniqueness theorems for solutions to the general nonlinear variational inequalities are proved under the setting of reflexive Banach spaces.

关 键 词：非线性 变分不等式 自反巴拿赫空间 隐补问题 

分 类 号：O176[理学—数学] O177.92[理学—基础数学]