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一对模糊映象的公共不动点定理 被引量:1

A Common Fixed Point Theorems of Fuzzy Mapping
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摘要 利用完备度量空间的性质和引理[1.1]、[1.2],研究了在完备度量空间中一对模糊映象满足一些特定不等式条件,以及当其截集是中非空有界闭集时,该对模糊映象的公共不动点的存在性问题.推广了Park J Y和Jeong J U论文的结论. Uses the property of complete metric space and lemma [ 1.1 ], [ 1.2]. Does research in a common fixed point theorem of fuzzy mappings in inequality conditions and the cut set is the nonempty closed bounded subsets of X, while Xis complete metric space. Extends the conclusions of Park J Y and Jeong J U.
作者 肖仁桥
出处 《江汉大学学报(自然科学版)》 2007年第2期8-10,共3页 Journal of Jianghan University:Natural Science Edition
关键词 模糊映象 公共不动点 完备度量空间 fuzzy mapping: common fixed point: complete metric space
  • 相关文献

参考文献7

  • 1Butnariu D.Fixed point for fuzzy mappings[J].Fuzzy Sets and Systems,1982,7:191-207. 被引量:1
  • 2Butnariu D.A fixed point theorem and its application to fuzzy games[J].Revue Roumaine Math Pureset Appl,1979,24(10):1424-1432. 被引量:1
  • 3Heilpem S.Fuzzy mappings and fixed point theorem[J].J Math Anal,1981,83:556-569. 被引量:1
  • 4Bose R K,Sahani D.Fuzzy mappings and fixed point theorems[J].Fuzzy Sets and Systems,1987,(21):53-58. 被引量:1
  • 5Lee B S,Cho S J.A fixed point theorem for contractive type fuzzy mappings[J].Fuzzy Sets and Systems,1994,58:309-312. 被引量:1
  • 6Park J Y,Jeong J U.Fixed point theorems for fuzzy mappings[J].Fuzzy Sets and Systems,1997,87:111-116. 被引量:1
  • 7张石生著..不动点理论及应用[M].重庆:重庆出版社,1984:508.

同被引文献7

  • 1Butnariu D. Fixed Points for Fuzzy Mappings[J]. Fuzzy Sets and Systems, 1982,7 : 191-207. 被引量:1
  • 2Butnariu D. A Fixed Point Theorem and Its Application to Fuzzy Games[J]. Revue Roumaine Math Pu'rest Appl, 1979,24(10) :1424-1432. 被引量:1
  • 3Heilpern S. Fuzzy Mappings and Fixed Point Theorem [J]. J Math Anal 1981, 83:556-569. 被引量:1
  • 4Bose R K, Sahani D. Fuzzy Mappings and Fixed Point Theorems[J]. Fuzzy Sets and Systems, 1987 (21):53- 58. 被引量:1
  • 5Lee B S, Cho S J. A Fixed Point Theorem for Contractive-type Fuzzy Mappings[J]. Fuzzy Sets and Systems, 1994,58:309-312. 被引量:1
  • 6Park J Y, Jeong J U. Fixed Point Theorems for Fuzzy Mappings[J]. Fuzzy Sets and Systems, 1997,87: 111- 116. 被引量:1
  • 7VijayarajuP, MarudaiM. Fixed Point Theorem for Fuzzy Mappings[J]. Fuzzy Sets and System, 2003, 135:401-408. 被引量:1

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