期刊文献+

关于模糊度量空间中的压缩条件与不动点(英文)

On Contractive Conditions and Fixed Points in Fuzzy Metric Space
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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. It was pointed out that two common fixed point theorems in fuzzy metric space recently given by Pant V contained some mistakes. By modifying the contractive condition, some new common fixed point theorems in fuzzy metric space were established, which improved and generalized the results of Pant.
出处 《南京师大学报(自然科学版)》 CAS CSCD 北大核心 2008年第3期29-32,共4页 Journal of Nanjing Normal University(Natural Science Edition)
基金 the National Natural Science Foundation of China(10671094).
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 fuzzy metric space, noncompatible maps, pointwise R-weak commutativity, common fixed point
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参考文献6

  • 1Zadeh L A. Fuzzy sets [J]. Inform and Control, 1965,8: 338-353.
  • 2Kramosil O, Miehalek J. Fuzzy metric and statistical metric spaces [ J ]. Kybemetica, 1975, 11: 326-334.
  • 3George A, Veeramani P. On some results in fuzzy metric space [J]. Fuzzy Sets and Systems, 1994, 64: 395-399.
  • 4Mishra S N, Singh S L. Common fixed point of maps on fuzzy metric spaces [J]. Internat J Math Math Sci, 1994, 17:253- 258.
  • 5Pant R P. Common fixed point theorems for contractive maps [J]. J Math Anal Appl, 1998, 226: 251-258.
  • 6Pant V. Contractive conditions and common fixed point in fuzzy metric space [J]. J Fuzzy Math, 2006, 14(2) : 267-272.

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