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一对压缩型模糊映象的公共不动点定理

Common Fixed Point Theorems of Fuzzy Contractive Mappings
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摘要 利用完备度量空间的性质和引理1、2,研究了在完备度量空间X中一对压缩型模糊映象当其截集是X中非空有界闭集时,该对压缩型模糊映象的公共不动点的存在性问题,推广了Vija-yaraju P和Marudai M论文的结论. Using the property of complete metric space and related lemmas 1 and 2, the existence of common fixed point of a couple of fuzzy contractive mappings with inequality conditions and the cut set being nonempty closed bounded subsets of comp!ete metric space X, is studied; and several theorems on the existence of common fixed point are given. The results generalize the corresponding results in the related references of Vijayaraju P and Marudai M.
作者 肖仁桥 钱丽
出处 《三峡大学学报(自然科学版)》 CAS 2008年第3期94-96,共3页 Journal of China Three Gorges University:Natural Sciences
关键词 模糊映象 压缩映象 公共不动点 完备度量空间 fuzzy mapping contractive mapping common fixed point complete metric space
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参考文献8

  • 1Butnariu D. Fixed Points for Fuzzy Mappings[J]. Fuzzy Sets and Systems, 1982,7 : 191-207.
  • 2Butnariu D. A Fixed Point Theorem and Its Application to Fuzzy Games[J]. Revue Roumaine Math Pu'rest Appl, 1979,24(10) :1424-1432.
  • 3Heilpern S. Fuzzy Mappings and Fixed Point Theorem [J]. J Math Anal 1981, 83:556-569.
  • 4Bose R K, Sahani D. Fuzzy Mappings and Fixed Point Theorems[J]. Fuzzy Sets and Systems, 1987 (21):53- 58.
  • 5Lee B S, Cho S J. A Fixed Point Theorem for Contractive-type Fuzzy Mappings[J]. Fuzzy Sets and Systems, 1994,58:309-312.
  • 6Park J Y, Jeong J U. Fixed Point Theorems for Fuzzy Mappings[J]. Fuzzy Sets and Systems, 1997,87: 111- 116.
  • 7肖仁桥.一对模糊映象的公共不动点定理[J].江汉大学学报(自然科学版),2007,35(2):8-10. 被引量:1
  • 8VijayarajuP, MarudaiM. Fixed Point Theorem for Fuzzy Mappings[J]. Fuzzy Sets and System, 2003, 135:401-408.

二级参考文献6

  • 1Butnariu D.Fixed point for fuzzy mappings[J].Fuzzy Sets and Systems,1982,7:191-207.
  • 2Butnariu D.A fixed point theorem and its application to fuzzy games[J].Revue Roumaine Math Pureset Appl,1979,24(10):1424-1432.
  • 3Heilpem S.Fuzzy mappings and fixed point theorem[J].J Math Anal,1981,83:556-569.
  • 4Bose R K,Sahani D.Fuzzy mappings and fixed point theorems[J].Fuzzy Sets and Systems,1987,(21):53-58.
  • 5Lee B S,Cho S J.A fixed point theorem for contractive type fuzzy mappings[J].Fuzzy Sets and Systems,1994,58:309-312.
  • 6Park J Y,Jeong J U.Fixed point theorems for fuzzy mappings[J].Fuzzy Sets and Systems,1997,87:111-116.

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