journal6 ›› 2005, Vol. 26 ›› Issue (3): 20-22.

• 数学 • 上一篇    下一篇

有限个渐近拟非扩张映象迭代序列强收敛定理

  

  1. (1.河北师范大学数学与信息科学学院,河北 石家庄050016;2.河北经贸大学数学与统计学学院,河北 石家庄050061;3.河北师范大学附属民族学院,河北 石家庄050091)
  • 出版日期:2005-07-15 发布日期:2012-09-22
  • 作者简介:王丽萍(1974-),女,河北省肥乡人,硕士,河北师范大学数学与信息科学学院讲师,主要从事非线性泛函研究.
  • 基金资助:

    国家自然科学基金资助项目(10471033)

Strong Convergence Theorem of Iterative Sequence for a Family of Finite Asymptotically Quasi-Nonexpansive Mappings

  1. (1.College of Mathematics and Information Science,Hebei Normal University,Shijiazhuang 050016,Hebei China;2.College of Mathematics and Statistics,Hebei University of Economics and Business,Shijiazhuang 050061,Hebei China;3.Academy of Accessorial National  Minorities,Hebei Normal University,Shijiazhuang 050091,Hebei China)
  • Online:2005-07-15 Published:2012-09-22

摘要:研究了Banach空间中有限个渐近拟非扩张映象及拟一致L-lipschitz算子不动点的迭代逼近问题,并给出带误差的Ishikawa型迭代序列强收敛于其公共不动点的充要条件.

关键词: 渐近拟非扩张映象, 拟一致L-lipschitz算子, Ishikawa型迭代格式, 不动点

Abstract: This paper studies the iterative approximation problem of fixed point for a family of finite asymptotically quasi-nonexpansive mappings and quasi-uniform L-lipschitz operators and gives the sufficient and necessary condition for the Ishikawa iterative sequence with errors strongly convergent to common fixed point.

Key words: asymptotically quasi-nonexpansive mappings, quasi-uniform L-lipschitz operators, modified Ishikawa iterative sequence, fixed point

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