1) FC-KKM (X,Y)
FC-KKM(X,Y)集值映射类
2) FC-KKM(X,Y)
FC-KKM(X,Y)类
3) weakly FC-KKM mappings
弱FC-KKM映射
1.
The weakly FC-KKM mappings and the class of mappings with the weakly FC-KKM property are introduced and studied in FC-space.
在FC-空间中引入和研究了弱FC-KKM映射和具有弱FC-KKM性质的映射类。
4) FCKKM mapping
FC-KKM映象
5) Admissible set-valued mappings
容许类集值映射
6) KKM map
KKM映射
1.
The definitions of FC-space,FC-subspace and KKM mapping are given,the concept of FC-subspace generated by a subset in FC-spaces is introduced,and its properties are also discussed.
给出FC-空间和FC-子空间以及KKM映射的定义,引入由子集生成的FC-子空间的概念并讨论其性质,最后得出FC-空间上闭[开]形式的KKM型定理。
2.
The concept of generalized convex space and the definitions of KKM map and Γ-convex subset on this space are given, classical KKM principle is also introduced, and then KKM principle on generalized convex spaces obtained in paper [5] is given, from which some versions of KKM type theorem are obtained.
给出一般化凸空间的概念及在该空间上KKM映射和Г-凸子集的定义,介绍古典的KKM原理,然后给出文献[5]中得到的一般化凸空间上的KKM原理,并根据上述原理得到若干个KKM型定理的表达形式。
3.
The development of classical KKM mapping and history of the KKM theory were introduced,some recently important results obtained by the KKM type theorems were given.
简要介绍古典的KKM映射的演变过程和KKM理论的发展历史,并给出利用KKM型定理得到的最近的一些重要研究成果,以进一步了解和掌握并研究KKM理论。
补充资料:映射类
映射类
mappings, classes of
ingTr坦Pping).后者定义为一一连续满映射.因此,在一般拓扑学的映射分类问题中,或者对开集或闭集(过渡到象空间时)的性态加以限制,或者对集合逆象的性质加以限制.第二种处理导致下列映射类:单调映射(阴notone mapping)(任何点的逆象是连通集);有限对一映射肠而忱一to一。
说明:补充资料仅用于学习参考,请勿用于其它任何用途。
参考词条