广义凸空间上重合点定理,几乎不动点定理和不动点定理  

Coincidence Point Theorems,Almost Fixed Point Theorems,Fixed Point Theorems on Generalized Convex Spaces

作　　者：朴勇杰[1] 

机构地区：[1]延边大学理学院数学系,延吉133002

出　　处：《应用数学学报》2014年第4期724-734,共11页Acta Mathematicae Applicatae Sinica

基　　金：国家自然科学基金(11261062:11361064);吉林省教育厅"十二五"科学技术研究([2011]No.434)资助项目

摘　　要：引进了广义凸空间上关于某一映射的广义S-KKM映射和广义W-S-KKM映射的概念,得到了广义凸空间上的连续选择定理和Fan-Browder型不动点定理并给出两个φ-映射的重合点存在定理.最后,讨论了具有S-KKM性质或具有W-S-KKM性质的映射的几乎不动点和不动点的存在问题.所的结论推广和改进了一些已有的结果.The concepts of a generalized S-KKM map and a generalized W-S-KKM map with respect to another map on generalized convex spaces are introduced,continuous selection theorems and Fan-Browder type fixed point theorems are also obtained in this space,and from which,the existence theorems of coincidence points for two Φ-maps are given.Finally,the existence problems of almost fixed points and fixed points for maps with S-KKM property or W-S-KKM property are discussed.The obtained results generalize and improve many known conclusions.

关 键 词：Φ-映射 类W-S-KKM(X、Y、D、Z) 重合点 不动点 几乎不动点性质 

分 类 号：O[理学]