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L_p中渐近半收缩映象拟Ishikawa迭代过程的收敛性 被引量:2

CONVERGENCE THEOREMS OF AP-ITERATION PROCESSES FOR ASYMPTOTICALLY HEMICONTRACTIVE MAPPINGS IN Lp
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摘要 在Lp中研究渐近半收缩映象拟Ishikawa迭代过程的强收敛性. in this paper several convergence theorems of the quasi-Ishikawa iteration processes for asymptoticall hemicontractions in Lp are given, which extend those results of Liu Qihou to Lp.
作者 胡长松
出处 《系统科学与数学》 CSCD 北大核心 2000年第1期40-46,共7页 Journal of Systems Science and Mathematical Sciences
基金 湖北省教委重点科研项目基金
关键词 渐近半收缩映象 强收敛性 拟Ishikawa迭代 Fixed point, completely continuous mapping, Lipschitz mapping.
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参考文献3

  • 1Liu Qihou,Nonlinear Analysis,1996年,26卷,11期,1835页
  • 2Hong Kunxu,Nonlinear Analysis,1991年,16卷,12期,1127页
  • 3游兆水,非线性分析,1991年

同被引文献15

  • 1Osilike M O, Aniagbosor S C. Weak and strong convergence theorems for fixed points of asymptotically nonexpansive mappings[J]. Math Computer Modelling,2000,32: 1191- 1191.
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  • 5Xu Benlong. Fixed point iterations for asymptotically nonexpansive mappings in Banaeh spaees[J]. J Math Anal Appl , 2002,267: 444 - 453.
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  • 7Gornicki J. Weak convergence theorems for asymptotically nonexpansive mappings in uniformly convex Banach spaces[J]. Comment Math Univ Carolin, 1989,30 : 249-252.
  • 8Schu J.Iterative construction of fixed points of asymptotically nonexpansive mappings[J]. J Math Anal Appl, 1991, 158: 407-413.
  • 9Liu Q H. Convergence theorems of the sequence of iteratives for asymptotically demi-cointractive and hemi-contractive mappings[J]. Nonlinear Anal TMA, 1996, 26: 1835-1842.
  • 10Osilike M O. Iterative approximation of fixed points of asymptotically demicontractive mappings[J].Indian J Pure Appl Math, 1998, 29(12): 1291-1300.

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