%0 Journal Article %T Class W-KKM (X,Y,Z), Almost Fixed Point Theorems and Fixed Point Theorems
类W-KKM (X,Y,Z), 几乎不动点定理和不动点定理 %A PIAO Yongjie %A
朴勇杰 %J 系统科学与数学 %D 2010 %I %X The concepts of relatively weak $R$-subset and class ($W$-)KKM$(X,Y,Z)$ were introduced, an equivalent relation of relative KKM map and relatively weak $R$-subset and a property of $W$-KKM$(X,Y,Z)$ were given; and then two continuous selection theorem were given and from which, fixed point theorems and coincidence theorem were obtained; finally, existence theorems ofalmost fixed point, fixed point theorem and coincidence point theorem for a map with weak-KKM property were obtained on uniform topological spaces. %K Relatively weak $R$-subset %K class ($W$-)KKM$(X %K Y %K Z)$ %K ${\it \Phi}$-map %K almost fixed point %K coincidence point
相对弱$R$-子集 %K 类($W$-)KKM$(X %K Y %K Z)$ %K ${\it %K \Phi}$-映射 %K 几乎不动点 %K 重合点. %U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=0CD45CC5E994895A7F41A783D4235EC2&aid=4A560BCC41C0128B25FDAB4A1879A562&yid=140ECF96957D60B2&vid=340AC2BF8E7AB4FD&iid=94C357A881DFC066&sid=D559883475316B44&eid=93661EC4C0CCEA67&journal_id=1000-0577&journal_name=系统科学与数学&referenced_num=0&reference_num=18