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W-空间上满足收缩型条件的映射族的唯一公共不动点 被引量:6

UNIQUE COMMON FIXED POINTS FOR MAPPINGS SATISFYING CONTRACTIVE CONDITIONS ON W-SPACES
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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.
出处 《系统科学与数学》 CSCD 北大核心 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)
关键词 W-空间 反交换映射 交换点 类φ 类Ψ 类L W-space, converse commuting maps, commuting point,Ф class class ψPclass L
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  • 1陆珏,冀小明,周武.对称空间中一类非压缩映象的公共不动点(英文)[J].西南民族大学学报(自然科学版),2005,31(1):13-16. 被引量:7
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