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关于渐近拟非扩展型映象不动点的迭代逼近问题 被引量:2

The iterative approximation problem for the fixed points of asymptotically quasi-nonexpansive type mappings
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摘要 在新型条件下研究了Banach空间中渐近拟非扩展型映象不动点的迭代逼近问题;所得结果补充和推广了文[1-3]等人的相应成果. Studying the iterative approximation problem of fixed points for asymptotically nonexpansive type mappings in Banach spaces under some new condition.The results of this paper improve the corresponding results in .
作者 王绍荣 熊明
出处 《纯粹数学与应用数学》 CSCD 2004年第1期18-23,共6页 Pure and Applied Mathematics
基金 大理学院科研资金资助项目(2002X42).
关键词 修改的具误差的Mann迭代序列 不动点 Asymptotically Quasi-nonexpansive type mapping,Asymptotically nonexpansive mapping,Modified Ishikawa iterative sequence with errors,Modified Mann iterative sepuence With errors,Fixed point
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参考文献13

  • 1张石生.Banach空间中渐近非扩张映象不动点的迭代逼近问题[J].应用数学和力学,2001,22(1):23-31. 被引量:34
  • 2Goebel K, Kirk W A. A Fixed Point Theorem for Asymptoticaly Nonexpansive Mappings[J]. Proc Amer Math Soc. 1972,35(1) :171-174.
  • 3Kirk W A. Fixed Point Theorem for non-Lipschitzian mappings of Asymptoticaly Nonexpansive type[J]. Israel J Math, 1974,11:339-346.
  • 4Xu H K. Inequalities in Banach spaces With applications [J]. Nonlinear Anal TMA,1991,16(12):1127-1138.
  • 5CHANG shih-sen. Cho Y J,Jung J S,etal. herative approximation of fixed point and solutions for strongly accretive and strongly pseudo-contractive mappings in Banach spaces[J]. J Math Anal Appl,1998,224:149-165.
  • 6Xu H K. Existence an convergence for fixed points of mappings of asymptotically nonexpansive type[J].Nonlinear Anal TMA, 1991,16(12):1139- 1146.
  • 7Weng X L. Fixed Points Iteration for Local Strictly Pseudo-contractive Mapping. Proc Amer Math Soc ,1991,133:727-731.
  • 8Goebel K,Kirk W A. A Fixed Point Theorem for Asymptoticaly Nonexpansive Mappings[J]. Proc,Amer. Math. Soc. 1972,35 (1) : 171- 174.
  • 9Kirk W A. Fixed Point Theorem for non-Lipschitzian mappings of Asymptoticaly Nonexpansive type[J]. Israel J Math, 1974,11 : 339 - 346.
  • 10Xu H K. Inequalities in Banach spaces With applications [J]. Nonlinear Anal TMA,1991,16(12):1127-1138.

二级参考文献8

  • 1Chang Shihsen,J Math Anal Appl,1998年,224卷,149页
  • 2Zeng L C,J Math Anal Appl,1998年,226卷,245页
  • 3Reich S,J Func Anal,1997年,26卷,378页
  • 4Chang Shihsen,J Math Anal Appl,1997年,216卷,94页
  • 5Liu Q H,Nonlinear Anal TMA,1996年,26卷,11期,1835页
  • 6Schu J,J Math Anal Appl,1991年,158卷,407页
  • 7Xu H K,Nonlinear Anal TMA,1991年,16卷,12期,1127页
  • 8Xu H K,Nonlinear Anal TMA,1991年,16卷,12期,1139页

共引文献33

同被引文献17

  • 1Goebel K,Kirk W A.A fixed point theorems for asymptotically nonexpansive mappings[J].Proc Amer Math Soc,1972,35(1):171-174
  • 2Kirk W A.Fixed point theorems for non-Lipschitzian mappings of asymptotically nonexpansive type[J].Israel J Math,1974,11:339-346
  • 3Chang S S,Cho Y J,Jung J S,et al.Iterative approximation of fixed point and solutions for strongly accretive and strongly pseudo-contractive mappings in Banach spaces[J].J Math Anal Appl,1998,224:149-165
  • 4Liu Q H.Convergence theorems of the sequence of iterates for asymptotically demi-contractive and himicontractive mappings[J].Nonlinear Anal TMA,1996,26(11):1835-1842
  • 5Zeng L C.A note on approximating fixed points of nonexpansive mappings by the Ishikawa iterativon process[J].J Math Anal Appl,1998,226:245-250
  • 6Reich S.Extension problems for accretive sets in Banach spaces[J].J Funct Anal,1997,26:378-395
  • 7Chang S S.On chidume's open questions and approximate solutions for multi-valued strongly accretive mapping equations in Banach spaces[J].J Math Anal Appl,1997,216:94-111
  • 8Xu H K.Inequalities in Banach spaces with applications[J].Nonlinear Anal TMA,1991,16(12):1127-1138
  • 9Goebel K,Kirk W A.A fixed point theorems for asymptotically nonexpansive mappings[J].Proc.Amer.Math.soc,1972,35(1):171-174.
  • 10Kirk W A.Fixed point theorems for non-Lipschitzian mappings of asymptotically nonexpansive type[J].Israel J.Math,1974,11:339-346.

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