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.
出处
《安徽大学学报(自然科学版)》
CAS
北大核心
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)
关键词
隐广义拟变分不等式
转移开值
集值映射
解的存性
implicit generalized quasivariational inequality
transfer open valued
muhimap
solution existence