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锥度量空间中压缩映射不动点定理及应用

Fixed Point Theorems for Contractive Mappings in Cone Metric Spaces and Application
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摘要 在锥度量空间中,运用锥理论与迭代方法,研究了完备锥度量空间中一类含有参量映射T的压缩型映射,证明了其映射不动点的存在唯一性,最后通过实例进行说明. Using the cone theory and iterative methods in cone metric spaces, fixed points for a class of contractive operators were studied. Theorems for the existence and uniqueness of fixed point were obtained, and an example was given.
作者 彭荣
机构地区 广东培正学院基础部
出处 《云南民族大学学报（自然科学版）》 CAS 2012年第2期133-137,共5页 Journal of Yunnan Minzu University:Natural Sciences Edition
基金 广东培正学院青年项目(12PZXMYB009)
关键词 锥度量空间 压缩映射 不动点 序列收敛映射 cone metric spaces contractive mapping fixed point sequentially convergent mapping
分类号 O177.91 [理学—基础数学]
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参考文献10

  • 1CONWAY J B.A Course in Functional Analysis[M].2nd ed.New York:Springer-Verlag,1990.
  • 2唐嘉,马昌凤.求解非线性互补问题的一个不动点迭代法(英文)[J].云南民族大学学报（自然科学版）,2008,17(2):103-105. 被引量：2
  • 3HUANG Long-guang,ZHANG Xian.Cone metric spaces and fixed point theorems of contractive mappings[J].J Math Anal,2007,332:1468-1476.
  • 4MORALES J R,EDIXON R.Cone metric spaces and fixed point theorems of T-Kannan contractive mappings[J].Journal ofMath Analysis,2010,4(4):175-184.
  • 5MORALES J R,EDIXOD R.Cone metric spaces and fixed point theorems of T-Contractive mappings[J].Journal of Math A-nalysis,2008,4(2):66-78.
  • 6ABBAS M,RHOADES B E.Fixed Point and Periodic Point Results in Cone Metric Spaces[J].Appl Math Letter,2009,22(4):511-515.
  • 7ABBAS M,JUNGCK G.Common fixed point results for non-commuting mappings without continuity in cone metric spaces[J].Journal of Mathematical Analysis and Applications,2008,341(1):416-120.
  • 8Duran TURKOGLU,Muhib ABULOHA.Cone Metric Spaces and Fixed Point Theorems in Diametrically Contractive Mappings[J].Acta Mathematica Sinica,English Series,2010,26(3):489-496. 被引量：10
  • 9REZAPOUR S,HAMLBARANI R.Some notes on the paper Cone metric spaces and fixed point theorems of contractive mappings[J].J Math Anal,2008,345(2):719-724.
  • 10CHOUHAN S.A fixed point theorem for expansive type mappings in cone metric spaces[J].International Mathematical Forum,2011,6(18):891-897.

二级参考文献15

  • 1Huang, L. G., Zhang, X.: Cone metric spaces and fixed point theorems of contractive mappings. Y. Math. Anal. App., 332, 1468-1476 (2007).
  • 2Ilic, D., Rakocevic, V.: Common fixed points for maps on cone metric space. J. Math. Anal. Appl., 341(2), 876-882 (2008).
  • 3Abbas, M., Jungck, G.: Common fixed point results for noncommuting mappings without continuity in cone metric spaces. J. Math. Anal. Appl., 341(1), 416-420 (2008).
  • 4Xu, H. K.: Diametrically contractive mappings. Bulletin of the Australian Mathematical Society, 70(3), 463-468 (2004).
  • 5Deimling, K.: Nonlinear Functional Analysis, Springer-Verlag, Berlin, 1985.
  • 6HARKER P T, PANG J S. Finite-Dimensional Variational Inequality and Nonlinear Complementarity Problem: A Survey of Theory Algorithms and Applications[ J], Math Programming, 1990,48:161 -220.
  • 7PANG J S. Complementarity Problems [ A ]//HORST R, PARDALOS P M. Handbook of Global Optimization [ M ] Boston : Kluwer Academic Pubisher, 1995:271 - 338.
  • 8NOOR M A, ALSAID E A. An Iterative Technique for Generalized Strongly Nonlinear Complementarty Problems [ J ], Appl Math Lett, 1999,12:75 -79.
  • 9NOOR M A. Fixed Point Approach for Complementarty Problems [ J ]. Math Anal Appl, 1988,133:437 -448.
  • 10NOOR M A. Iteraitve Methods for a Class of Complementarty Problems[ J]. Engineering Analysis, 1986,3 (4) :221 -224.

共引文献10

云南民族大学学报（自然科学版）
2012年 第2期

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