%0 Journal Article
%T Fixed Points and Variational Inequalities |with Lower and Upper Bounds in Topological Spaces<br>拓扑空间上不动点和具有上下界的变分不等式
%A PIAO Yong-Jie
%A <br>朴勇杰
%J 数学物理学报(A辑)
%D 2012
%I 
%X Based on an KKM type theorem and a Fan-Browder type fixed point theorem on generalized convex space, some new fixed point theorems for  a Φ-map and a weak Φ-map defined on topological spaces without any convex and linear structure and any compact setting are obtained. As applications, some existence problems of solutions for variational inequalities with lower and upper bounds were discussed in non-compact topological spaces.
%K Generalized convex spacezz
%K KKM mapzz
%K 
%K &omega
%K -connectedzz
%K 
%K &Phi
%K -mapzz
%K Weak
%K &Phi
%K -mapzz
%K Variational inequalityzz<br>广义凸空间
%K KKM映射
%K &omega
%K -连通
%K &Phi
%K -映射
%K 弱&Phi
%K -映射
%K 变分不等式
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=4DB553CDB5F521D8C921082E5C95EC80&aid=46DBF3E8FC2736F0488951F1801668DB&yid=99E9153A83D4CB11&vid=9971A5E270697F23&iid=0B39A22176CE99FB&sid=F7496043B4F12D75&eid=965F4E89CD0AFC30&journal_id=1003-3998&journal_name=数学物理学报(A辑)&referenced_num=0&reference_num=0