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锥度量空间中两对反交换映射的公共不动点定理 被引量:2

Common Fixed Point Theorem for Two Pairs of Converse Commuting Mappings in a Cone Metric Space
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摘要 在锥度量空间的框架下,讨论了两对反交换映射的公共不动点的存在性和唯一性问题,证明了两个新的公共不动点定理.我们的结果并不要求空间具有完备性,所得结果是前人某些已知结果的进一步改进和发展. In the framework of cone metric space, this paper discussed the existence and uniqueness of common fixed point for two pairs of converse commuting mappings, and proved two new common fixed point theorems. The results do not require the space to be completeness, and these results are the further promotion of the previous results.
作者 史晓棠 谷峰
出处 《杭州师范大学学报(自然科学版)》 CAS 2012年第5期433-435,共3页 Journal of Hangzhou Normal University(Natural Science Edition)
基金 国家自然科学基金资助项目(11071169) 浙江省自然科学基金资助项目(Y6110287) 杭州师范大学研究生教改基金项目
关键词 公共不动点定理 度量空间 交换映射 唯一性问题 存在性 完备性 cone metric space converse commuting mappings common fixed point
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二级参考文献15

  • 1胡新启,刘启宽.度量空间中反交换映射的公共不动点[J].数学杂志,2007,27(1):19-22. 被引量:13
  • 2Huang L G,Zhang X. Cone Metric Space and fixed point theorems of contractive mappings [ J ]. J Math Anal. Appl, 3007, 332 : 1468 - 1476. 被引量:1
  • 3郭大均.非线性泛函分析[M].济南:山东科学技术出版社,2001.. 被引量:13
  • 4Jungck G. Compatible mappings and common fixed points[J]. Internat J Math Sci, 1986,9:771-779. 被引量:1
  • 5Pant R P. Common fixed points of noncommuting mappings[J]. J Math Anal Appl, 1994,188:436-440. 被引量:1
  • 6Pant R P. R-weak commutativity common fixed points of noncornpatible maps[J]. Ganita, 1998,49:19-27. 被引量:1
  • 7Pant R P. Common fixed point theorems for contractive maps[J]. J Math Anal Appl, 1998,226:251-258. 被引量:1
  • 8PantRP.Note discontinuity and fixed points[J].J Math Anal Appl,1999,240:284-289. 被引量:1
  • 9Pant R P. Note common fixed points of Lipschitz type mapping pairs[J]. J Math Anal Appl, 1999, 240:280-283. 被引量:1
  • 10Sastry K P R. Common fixed points of two partially commuting tangential selfmaps on a metric space [J]. J Math Anal Appl, 2000,250:731-734. 被引量:1

共引文献17

同被引文献26

  • 1胡新启,刘启宽.度量空间中反交换映射的公共不动点[J].数学杂志,2007,27(1):19-22. 被引量:13
  • 2Sessa S. On a weak commutativity condition of mappings in fixed point considerations[j]. Institut Mathematique Publications NouvelleSerie,1982,(46) :149-153. 被引量:1
  • 3Jungck G. Compatible mappings and common fixed points[J]. Internat J Math Math Sci. 1986 ,9 .771-779. 被引量:1
  • 4Rhoades B E, Sessa S. Common fixed point theorems for three mappings under a weak commutativity condition[J]. Indian Journal ofPure and Applied Mathematics, 1986(1) :47-57. 被引量:1
  • 5Sessa S,Fisher B. On common fixed points of weakly commuting mappings and set-valued mappings[J]. Internation Journal of Mathe-matics and Mathematical Sciences,1986(2) :323-329. 被引量:1
  • 6Singh S L, Ha K S, Cho Y J. Coincidence and fixed points of nonlinear hybrid contractions[J]. International Journal of Mathematics andMathematical Sciences,1989(2) :247-256. 被引量:1
  • 7Jungck G. Compatible mappings and common fixed points(II)[J]. International Journal ofMathematics and Mathematical Sciences, 1988(2):285-288. 被引量:1
  • 8Jungck G,Rhoades B E. Fixed points for set valued functions without continuity[J]. Indian Journal of Pure and Applied Mathematics,1998(3);227-238. 被引量:1
  • 9Ciric L B,Ume J S. Some common fixed point theorems for weakly compatible mappings[J], Journal of Mathematical Analysis and Ap-plications, 2006 (2) :488-499. 被引量:1
  • 10Ahmed M A. Common fixed point theorems for weakly compatible mappings[J]. The Rocky Mountain Journal of Mathematics,2003⑷:1189-1203. 被引量:1

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