留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名
邮箱
手机号码
标题
留言内容
验证码

Banach空间中渐近非扩张型映象不动点的迭代逼近问题

张石生

张石生. Banach空间中渐近非扩张型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.
引用本文: 张石生. Banach空间中渐近非扩张型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.
ZHANG Shi-sheng. On the Iterative Approximation Problem of Fixed Points for Asymptotically Nonexpansive Type Mappings in Banach Spaces[J]. Applied Mathematics and Mechanics, 2001, 22(1): 23-31.
Citation: ZHANG Shi-sheng. On the Iterative Approximation Problem of Fixed Points for Asymptotically Nonexpansive Type Mappings in Banach Spaces[J]. Applied Mathematics and Mechanics, 2001, 22(1): 23-31.

Banach空间中渐近非扩张型映象不动点的迭代逼近问题

基金项目: 国家自然科学基金资助项目(19771058)
详细信息
    作者简介:

    张石生(1934- ),男,教授,已发表论文300余篇,获省部级奖6项.

  • 中图分类号: O177.91

On the Iterative Approximation Problem of Fixed Points for Asymptotically Nonexpansive Type Mappings in Banach Spaces

  • 摘要: 研究了Banach空间中渐近非扩张型映象不动点的迭代逼近问题。所得结果改进和发展了一些人的最新成果。
  • [1] Goebel K, Kirk W A. A fixed point theorem for a symptotically nonexpansive mappings[J]. Proc Amer Math Soc,1972,35(1):171-174.
    [2] Kirk W A. Fixed point theorems for non-Lipschitzian mappings of as ymptotically nonexpansive type[J]. Israel J Math,1974,11:339-346.
    [3] Xu H K. Inequalities in Banach spaces with applications[J]. Nonlinear Anal TMA,1991,16(12):1127-1138.
    [4] CHANG Shih-sen, Cho Y J, Jung J S, et al. Iterative approxi mation of fixed point and solutions for strongly accretive and strongly pseudo-contr active mappings in Banach spaces[J]. J Math Anal Appl,1998,224:149-165.
    [5] Xu H K. Existence an convergence for fixed points of mappings of a symptotically nonexpansive type[J]. Nonlinear Anal TMA,1991,16(12):1139-1146.
    [6] Liu Q H. Convergence theorems of the sequence of iterates for asymptotically demi-contractive and hemi-contractive mappings[J]. Nonlinear Anal TMA,1996,26(11):1835-1842.
    [7] Schu J. Iterative construction of fixed points of asymptoticallyn onexpansive mappings[J]. J Math Anal Appl,1991,158:407-413.
    [8] Zeng L C. A note on approximating fixed points of nonexpansive mapping by the Ishikawa iterative processes[J]. J Math Anal Appl,1998,226:245-250.
    [9] Kirk W A, Torrejon R. An asymptotically nonexpansive semigroup in Banach space[J]. Nonlinear Anal TMA,1979,1:111-121.
    [10] CHANG Shih-sen. On Chidume's open questions and approximate solutions of multivalued strongly accretive mapping equations in Banach spaces[J]. J Math Anal Appl,1997,216:94-111.
    [11] Reich S. Extension problems for accretive sets in Banach spaces[J]. J Func Anal,1997,26:378-395.
  • 加载中
计量
  • 文章访问数:  2131
  • HTML全文浏览量:  91
  • PDF下载量:  660
  • 被引次数: 0
出版历程
  • 收稿日期:  1999-09-03
  • 修回日期:  2000-10-02
  • 刊出日期:  2001-01-15

目录

    /

    返回文章
    返回