一类隐广义拟变分不等式解的存在性  

On the solution existence for a class of generalizd quasivariational inequaliies

作　　者：朱石焕[1] 

机构地区：[1]安阳师范学院数学科学学院,河南安阳455002

出　　处：《安徽大学学报（自然科学版）》2008年第3期9-11,共3页Journal of Anhui University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(69972036)

摘　　要：作者在拓扑向量空间中研究隐广义拟变分不等式解的存在性问题.与Cubiotti等人在集值映射Γ是下半连续的条件下讨论解的存在性问题不同,作者假设Γ是非空凸映射并且Γ-是转移开值映射,利用Fan-Browder型不动点原理证明解的存在性.We studied the implicit generalized quasivariational inequality problem. In the case that the multimap F was nonempty convex and F- was transfer open valued, we used Fan - Browder type fixed point theorem to prove the existence results of implicit generalized quasi -variational inequality problem, which was different from the work of Cubiotti, where the muhimap F was lower semicontinuous.

关 键 词：隐广义拟变分不等式 转移开值 集值映射 解的存性 

分 类 号：O178[理学—数学]