W-空间上满足收缩型条件的映射族的唯一公共不动点  

UNIQUE COMMON FIXED POINTS FOR MAPPINGS SATISFYING CONTRACTIVE CONDITIONS ON W-SPACES

作　　者：朴勇杰[1] 金月曦[1] 

机构地区：[1]延边大学理学院数学系,延吉133002

出　　处：《系统科学与数学》2012年第5期601-609,共9页Journal of Systems Science and Mathematical Sciences

基　　金：吉林省教育厅"十二五"科学技术研究项目(吉教科合字[2011]第434号)

摘　　要：引进了3个实函数类Φ,Ψ及L并考虑了3个满足压缩型条件的映射族,利用W-空间上的映射族的反交换性或具有交换点条件得到了若干个映射族具有唯一公共不动点的定理,同时给出了它们的特殊结果,所得结果推广和改进了很多相应结论,Three classes Ф, ψ and L of real functions are introduced and three mappings satisfying some contractive conditions are considered. By using the converse commuting property of mappings or the condition that mappings have a commuting point on W-spaces, several unique common fixed point theorems are obtained and their particular conclusions are also given. The obtained results generalize and improve some existing conclusions.

关 键 词：W-空间 反交换映射 交换点 类φ 类Ψ 类L 

分 类 号：O177.91[理学—数学]