Banach空间中的广义随机混合似变分不等式问题  

GENERALIZED RANDOM MIXED VARIATIONAL LIKE INEQUALITY PROBLEM IN BANACH SPACES

作　　者：韩泽[1] 刘亚平[1] 唐亚勇[1] 

机构地区：[1]四川大学数学学院,四川成都610064

出　　处：《四川大学学报（自然科学版）》1999年第5期828-833,共6页Journal of Sichuan University(Natural Science Edition)

基　　金：国家自然科学基金

摘　　要：研究了实可分自反Ｂａｎａｃｈ 空间中的广义随机混合似变分不等式问题，经典变分不等式及其各种各样的推广，都是这种变分不等式问题的特例．利用随机算子和ＨａｎｓｏｎThe authors introduce and study a new class of generalized random nonlinear mixed variational like inequalities in real separable reflexive Banach spaces,which contain the classical variational inequalities and its various generalizations as special cases.And present the solutions of this kind of generalized random nonlinear mixed variational like inequality problem by using random operators and a technique introduced by Hanson.

关 键 词：测度空间 随机算子 似变分不等式 巴拿赫空间 

分 类 号：O177.91[理学—数学]