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关于Halpern的公开问题 被引量：5

On Halpern's Open Question
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摘要 在较一般的条件下,部分地回答了Halpern提出的一个公开问题.本文结果也推广和改进了一些人的最新结果. Under more general conditions, a partial answer to Halpern＇s open question is given. The results presented in this paper also extend and improve some recent results.
作者 张石生 田有先
机构地区 宜宾学院数学系 重庆邮电学院计算机系
出处 《数学学报（中文版）》 SCIE CSCD 北大核心 2005年第5期979-984,共6页 Acta Mathematica Sinica：Chinese Series
基金 宜宾学院自然科学基金资助(2003Z12)重庆市教委自然科学基金资助(050308)
关键词 非扩张映象 迭代序列 不动点 Nonexpansive mapping Iterative sequence Fixed point
分类号 O177.91 [理学—基础数学]
  • 相关文献

参考文献13

  • 1Chang S. S., Cho Y. J., Zhou H. Y., Iterative methods for nonlinear operator equations in Banach spaces,New York: Nova Science Publishers, Inc. 2002.
  • 2Goebel K., Kirk W. A., A fixed point theorem for asymptotically nonexpansive mappings, Proc. Amer. Math.Soc., 1972, 35(1): 171-174.
  • 3Browder F. E., Convergence of approximants to fixed pointd of nonexpansive nonlinear mappings in Banach spaces, Arch. Rational Mech. Anal., 1967, 24, 82-90.
  • 4Reich S., Strong convergence theorerns for resolvents of accretive operators in Banach spaces, J. Math. Anal.Appl., 1980, 75: 128-292.
  • 5Halpern B., Fixed points of nonexpansive maps, Bull. Amer. Math. Soc., 1967, 73: 957-961.
  • 6Lions P. L., Approximation de points fixes de contractions, C. R. Acad. Sci. Paris, Ser. A, 1977, 284:1357-1359.
  • 7Wittmann R., Approximation of fixed points of nonexpansive mappings, Arch. Math., 1992, 58: 486-491.
  • 8Shioji N., Takahashi W., Strong convergence of approximated sequence for nonexpansive mappings, Proc.Amer. Math. Soc., 1997, 125(12): 3641-3645.
  • 9Reich S., Approximating fixed points of nonexpansive mappings, Pan. Amer. Math. J., 1994, 4: 23-28.
  • 10Xu H. K., Another control condition in an iterarive method for nonexpansive mappings, Bull. Austral. Math.Soc., 2002, 65: 109-113.

同被引文献33

  • 1张石生.Banach空间中非扩张映象的黏性逼近方法[J].数学学报（中文版）,2007,50(3):485-492. 被引量：13
  • 2ZHANG Shi-sheng. Some problems and results in the study of nonlinear analysis [J]. Nonlinear Anal., 1997, 30(7): 4197-4208.
  • 3XU Hong-kun. Viscosity approximation methods for nonexpansive mappings [J]. J. Math. Anal. Appl., 2004 298(1): 279-291.
  • 4REICH S. Approximating fixed points of nonexpansive mappings [J]. Panamer. Math. J., 1994, 4(2): 23-28.
  • 5SHIOJI N, TAKAHASHI W. Strong convergence of approximated sequence for nonexpansive mappings [J]. Proc. Amer. Math. Soc., 1997, 125(12): 3641-3645.
  • 6XU Hong-kun. Another control condition in an iterative method for nonexpansive mappings [J]. Bull. Austral. Math. Soc., 2002, 65(1): 109-113.
  • 7XU Hong-kun. Remark on an iterative method for nonexpansive mappings [J]. Comm. AppL Nonlinear Anal., 2003, 10(1): 67-75.
  • 8LIONS P L. Approximation de points fixes de contractions [J]. C. R. Acad. Sci. Paris, Sér. A-B, 1977, 284(21): 1357-1359. (in French)
  • 9MOUDAFI A. Viscosity approximation methods for fixed points problems [J]. J. Math. Anal. Appl., 2000, 241(1): 46-55.
  • 10WITTMANN R. Approximation of fixed points of nonexpansive mappings [J]. Arch. Math. (Basel), 1992, 58(5): 486-491.

引证文献5

二级引证文献7

数学学报（中文版）
2005年 第5期

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