[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].南京师范大学学报(自然科学版),2008,31(03):29-32.
 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(03):29-32.
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关于模糊度量空间中的压缩条件与不动点(英文)()
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《南京师范大学学报》(自然科学版)[ISSN:1001-4616/CN:32-1239/N]

卷:
第31卷
期数:
2008年03期
页码:
29-32
栏目:
数学
出版日期:
2008-09-30

文章信息/Info

Title:
On Contractive Conditions and Fixed Points in Fuzzy Metric Space
作者:
薛琼瑜;方锦暄;
南京师范大学数学与计算机科学学院, 江苏南京, 210097
Author(s):
Xue QiongyuFang Jinxuan
School of Mathematics and Computer Science,Nanjing Normal University,Nanjing 210097,China
关键词:
模糊度量空间 不相容映射 点式R-弱交换性 公共不动点
Keywords:
fuzzym e tric space noncompatib lem aps pointw iseR-w eak commuta tiv ity comm on fixed po int
分类号:
O189.13
摘要:
指出PantV最近给出的模糊度量空间中的两个公共不动点定理有错误.通过修改压缩条件,在模糊度量空间中建立几个新的公共不动点定理,改进并推广了Pant的结果.
Abstract:
It w as po inted ou t that tw o comm on fix ed po int theorem s in fuzzy m e tric space recently g iven by Pant V con ta ined som em istakes. Bym odify ing the contractiv e condition, som e new comm on fix ed po int theo rem s in fuzzy me tr ic space we re established, w hich im proved and genera lized the results of Pant

参考文献/References:

[ 1] Zadeh L A. Fuzzy sets [ J]. In fo rm and Con tro ,l 1965, 8: 338-353.
[ 2] K ramos il O, M icha lek J. Fuzzym etric and sta tistica lm etric spaces [ J]. Kybernetica, 1975, 11: 326-334.
[ 3] George A, Veeram ani P. On som e resu lts in fuzzy m etr ic space [ J]. Fuzzy Sets and System s, 1994, 64: 395-399.
[ 4] M ishra S N, S ingh S L. Comm on fixed po int of m aps on fuzzym e tric spaces [ J] . Internat JM athM a th Sc ,i 1994, 17: 253-258.
[ 5] Pant R P. Comm on fixed point theo rem s fo r contractivem aps [ J]. JM ath Ana lApp,l 1998, 226: 251-258.
[ 6] Pant V. Contractive cond itions and comm on fixed po int in fuzzy me tric space [ J]. J FuzzyM ath, 2006, 14( 2): 267-272.

相似文献/References:

[1]严从华,田文胜.模糊度量空间中的统计收敛[J].南京师范大学学报(自然科学版),2008,31(04):8.
 Yan Conghua,Tian Wensheng.Statistical Convergence on Fuzzy Metric Spaces[J].Journal of Nanjing Normal University(Natural Science Edition),2008,31(03):8.
[2]李莉,方锦暄.两个严格压缩条件下的公共不动点定理的注记(英文)[J].南京师范大学学报(自然科学版),2007,30(02):11.
 Li Li,Fang Jinxuan.Note on Two Common Fixed Point Theorems Under Strict Contractive Conditions[J].Journal of Nanjing Normal University(Natural Science Edition),2007,30(03):11.

备注/Memo

备注/Memo:
Foundation item: Supported by the N at iona lNatu ral Science Foundation of Ch in a( 10671094) .
Corresponding autho r: Fang J inxuan , professor, m ajored in functional analysis and fuzzy m athem atics. E-m ail:jxfang@ n jnu. edu. cn
更新日期/Last Update: 2013-05-05