[1]严从华,田文胜.模糊度量空间中的统计收敛[J].南京师大学报(自然科学版),2008,31(04):8-13.
　Yan Conghua,Tian Wensheng.Statistical Convergence on Fuzzy Metric Spaces[J].Journal of Nanjing Normal University(Natural Science Edition),2008,31(04):8-13.
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模糊度量空间中的统计收敛()
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《南京师大学报（自然科学版）》[ISSN:1001-4616/CN:32-1239/N]

卷:
第31卷
期数:
2008年04期
页码:
8-13
栏目:
数学
出版日期:
2008-12-30

文章信息/Info

Title:
Statistical Convergence on Fuzzy Metric Spaces
作者:
严从华;田文胜;
南京师范大学数学与计算机科学学院, 江苏南京210097
Author(s):
Yan Conghua; Tian Wensheng
School of Mathematics and Computer Science,Nanjing Normal University,Nanjing 210097,China
关键词:
模糊度量空间;  统计收敛;  稀疏子列;  统计极限点;  统计聚点
Keywords:
fuzzy m etr ic space;  sta tistica l conve rgence;  th in subsequence;  statistica l lim it po int;  sta tistica l c luster po int
分类号:
O189.13
摘要:
在较一般模糊度量空间中,引入了统计收敛和统计柯西列的概念;讨论了统计收敛和统计柯西列的一些重要性质;此外,还介绍了模糊度量空间中序列的稀疏子列、统计极限点、统计聚点的概念,研究了它们之间的相互关系.统一和推广了Sencimen 和Pehlivan S近期的工作.
Abstract:
The concepts o f statistica l converg ence and sta tistica l Cauchy sequences are introduced in m ore g eneral fuzzy m etr ic spaces. Som e im portant properties o f sta tistica l conv ergence and sta tistica l Cauchy sequences are discussed. Th in subsequence, statistica l lim it po ints, statistical c luster po ints on fuzzym e tric spaces are introduced and the relations am ong them are a lso g iven. Th is results unify and ex tend the correspond ing results obta ined by + enc im en μ and Peh livan S recently.

参考文献/References:

[ 1] Ka rakus S. Sta tistica l convergence on probab ilistic norm ed spaces[ J]. M athem atica l Communications, 2007, 12: 11-23.
[ 2] K arakus S, Dem irciK. Statistical convergence of doub le sequences on probab ilistic no rm ed spaces[ J]. Interna tional  Journal o f  M athem atics andM athem atica l Sc iences, 2007, 37( 6): 41-51.
[ 3] enc im en μ, Peh livan S. S tatistical conve rgence in fuzzy norm ed linear spaces[ J] . Fuzzy Sets and System s, 2008, 159:361-370.
[ 4] Fang Jinxuan, H uangH uan. On the leve l convergence o f a sequence o f fuzzy numbers[ J]. Fuzzy Sets and System s, 2004,147: 417-435.
[ 5] O sm o Ka leva, Seppo Se ikka la. On fuzzym e tric spaces[ J]. Fuzzy Se ts and System s, 1984, 12: 215-229.
[ 6] Fang Jinxuan. A no te on fixed po int theorem s o fH adiÑic[ J]. Fuzzy Sets and System s, 1992, 48: 391-395.
[ 7] M ursa leen, Osam aH H Ede ly. Statistica l conv ergence o f doub le sequences[ J]. JM ath Ana lApp,l 2003, 288: 223-231.
[ 8] O lgaH adiÑic, Endre Pap. F ixed Po int Theo ry in Probab ilisticM e tr ic Spaces[M ]. Dordrecht: Kluw erA cadem ic Publishers,2001.
[ 9] 徐维艳, 方锦暄. φ- 辅助序与F - 型拓扑空间中增映射的不动点定理[ J]. 南京师大学报: 自然科学版, 2005, 28
( 2): 19-23.

相似文献/References:

[1]薛琼瑜,方锦暄.关于模糊度量空间中的压缩条件与不动点(英文)[J].南京师大学报(自然科学版),2008,31(03):29.
　Xue Qiongyu,Fang Jinxuan.On Contractive Conditions and Fixed Points in Fuzzy Metric Space[J].Journal of Nanjing Normal University(Natural Science Edition),2008,31(04):29.

备注/Memo

备注/Memo:
基金项目: 国家自然科学基金( 10671094)资助项目.
通讯联系人: 严从华, 教授, 研究方向: 模糊分析学. E-m ail:chyan@ n jnu. edu. cn
更新日期/Last Update: 2013-05-05