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渐近非扩张映象的修正Reich-Takahashi迭代的收敛定理 被引量：1

On the Convergence Theorem of Modified Reich-Takahashi Iterative Sequence with Random Errors for Asymptotically Nonexpansive Mappings
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摘要 研究Banach空间中渐近非扩张映象和非扩张映象的具随机误差的修正的Reich_Takahashi的迭代序列的收敛问题 ,给出了第一型具随机误差的修正Reich_Takahashi迭代序列强敛到不动点的充要条件 ,所得结果推广和改进了已有文献的相关结果 . The purpose is to study the convergence problem of modified Reich-Takahashi iterative sequence with random errors for asymptotically nonexpansive mappings and nonexpansive mappings in Banach spaces. Some sufficient and necessary conditions are obtained on strong converge to fixed point for first-type modified Reich-Takahashi iterative sequence with random errors. The results presented extend and improve some results in literatures.
作者 冯先智 倪仁兴
机构地区 台州学院数学系 绍兴文理学院数学系
出处 《曲阜师范大学学报（自然科学版）》 CAS 2005年第1期19-24,共6页 Journal of Qufu Normal University(Natural Science)
基金 浙江省教育厅资助 (2 0 0 3 0 768)
关键词 渐近非扩张映象 非扩张映象 迭代序列 充要条件 asymptotically nonexpansive mapping nonexpansive mapping iterative sequence sufficient and necessary condition
分类号 O177.91 [理学—基础数学]
  • 相关文献

参考文献11

  • 1张石生,徐裕光,何昌.Banach空间中渐近非扩张映象的收敛性定理[J].数学学报（中文版）,2003,46(4):665-672. 被引量：11
  • 2Deimhng K. Nonlinear Functional Analysis [ M]. Bedin: Springer-Verlag, 1985.
  • 3Chang S S. Some problems and results in the study of nonlinear analysis [J]. Nonlinear Anal, 1997,30(7) :4197 - 4208.
  • 4Liu L S. lshikawa and Mann iterative processes with errors for nonexpansive mappings in Banach spaces [J]. J Math Anal Appl, 1995,194:114- 125.
  • 5Takahashi W, Ueda Y. On Reich' s strong convergence thermos for resolvents of accretive operators [J]. J Math Anal Appl, 1984, 104:546 - 553.
  • 6Goebel K, Kirk W A. A fixed point theorem for asymptotically nonexpansive mappings [J]. Proc Amer Math Soc, 1972,35( 1 ) : 171-174.
  • 7Shimizu T, Takahashi W. Strong convergence theorem for asymptotically nonexpansive mappjings [J]. Nonlinear Anal, 1996,26:265 -272.
  • 8Reich S. Some problems and results in fixed point theory [J]. Contem Math, 1983,21:179- 187.
  • 9Reich S. Strong convergence theorems for resolvents of accretive operators in Banach spaces [ J ]. J Math Anal Appl, 1980,75:287 - 292.
  • 10Wittmann R. Approximation of fixed points of nonexpansive mappings [J]. Arch Math, 1992,58:486-491.

二级参考文献13

  • 1Goebel K, Kirk W. A., A fixed point theorem for asymptoticlly nonexpansive mappings, Proc. Amer. Math.Soc., 1972, 35(1): 171-174.
  • 2Deimling K., Nonlinear functional analysis, Berlin: Springer-Verlag, 1985.
  • 3Shimizu T., Takahashi W., Strong convergence theorem for asymptotically nonexpansive mappings, Nonlinear Anal. TMA, 1996, 26: 265-272.
  • 4Reich S., Some problems and results in fixed point theorem, Contem. Math., 1983, 21: 179-187.
  • 5Reich S., Strong covergence theorems for resolvents of accretive operators in Banach spaces, J. Math. Anal.Appl., 1980, 75: 287-292.
  • 6Shioji N., Takahashi W., Strong convergence of approximated sequence for nonexpansive mappings, Proc.Amer. Math. Soc.. 1997. 125: 12: 3641-3645.
  • 7Shimizu T., Takahashi W., Strong convergence to common fixed points of familise of nonexpansive mappings,J. Math. Anal. Appl.. 1997. 211: 71-83.
  • 8Shioji N., Takahashi W., Strong convergence threoms for asymptotically nonexpansive semigroups in Hilbert spaces, Nonlinear Anal. TMA. 1998. 34: 546-543.
  • 9Wittmann R., Approximation of fixed point of nonexpansive mappings, Arch. Math., 1992, 58: 486--491.
  • 10Chang S. S., Some problems and results in the study of nonlinear ayalysis, Nonlinear Anal. TMA, 1997,30(7): 4197-4208.

共引文献10

同被引文献16

  • 1Browder F E. Convergence of approximants to fixed points of nonexpansive maps in Banach spaces [ J ]. Arch Rational Mech Anal, 1967,24 : 82 -90.
  • 2Reich S. On the asyptotic behavior of nonlinear semigroups and the range of accretive operators[J]. J Math Anal Appl, 1984,79 :119-126.
  • 3Moudafi A. Viscosity approximation methods for fixed points problems[ J]. J Math Anal Appl,2000,241:46-55.
  • 4Xu H K. Viscosity approximation methods for nonexpansive mappings[ J]. J Math Anal Appl,2004,298:279-291.
  • 5Bauschke H H. The approximation of fixed points of compositions of nonexpansive mappings in Banach spaces [ J ]. J Math Anal Appl,1996,202 : 150-159.
  • 6Chang S S. Viscosity approximation metheds for a finite family of nonexpansive mappings in Banach spaces [ J ]. J Math Anal Appl,2006,323 (2) : 1402-1416.
  • 7Jung J S. Iterative approaches to common fixed points of nonexpansive mappings in Banach spaces[ J]. J Math Anal Appl,2005, 302 : 509-520.
  • 8Song Y, Chen R. Viscosity approximation methods for nonexpansive nonself-mappings[J]. J Math Anal Appl,2006,321:316-326.
  • 9Xu H K. Approximating curves of nonexpansive nonself-mappings in Banach spaces[ J ]. Math Anal, 1997,325:151-156.
  • 10Wang X. Fixed point iteration for local strictly pseudo-contractive mappings [ J ]. Proc Am Math Soc, 1991,113:727-731.

引证文献1

二级引证文献3

曲阜师范大学学报（自然科学版）
2005年 第1期

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