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

关于Banach空间中增生和伪压缩型映象迭代序列的收敛性问题

张石生

张石生. 关于Banach空间中增生和伪压缩型映象迭代序列的收敛性问题[J]. 应用数学和力学, 2002, 23(4): 359-370.
引用本文: 张石生. 关于Banach空间中增生和伪压缩型映象迭代序列的收敛性问题[J]. 应用数学和力学, 2002, 23(4): 359-370.
ZHANG Shi-sheng. Some Convergence Problem of Iterative Sequences for Accretive and Pseudo-Contractive Type Mappings in Banach Spaces[J]. Applied Mathematics and Mechanics, 2002, 23(4): 359-370.
Citation: ZHANG Shi-sheng. Some Convergence Problem of Iterative Sequences for Accretive and Pseudo-Contractive Type Mappings in Banach Spaces[J]. Applied Mathematics and Mechanics, 2002, 23(4): 359-370.

关于Banach空间中增生和伪压缩型映象迭代序列的收敛性问题

详细信息
    作者简介:

    张石生(1934- ),男,云南曲靖人,教授,已发表论文300余篇,获部省级奖6项.

  • 中图分类号: O177.91

Some Convergence Problem of Iterative Sequences for Accretive and Pseudo-Contractive Type Mappings in Banach Spaces

  • 摘要: 得出了Banach空间中增生和伪压缩型映象Ishikawa、Mann和最速下降序列强收敛于其不动点的充分必要条件.所得结果推广、改进和包含了某些最新的结果.
  • [1] Browder F E.Nonlinear mappings of nonexpansive and accretive type in Banach spaces[J].Bull Amer Math Soc,1967,73:875-882.
    [2] Deimling K.Zeros of accretive mapping[J].Manuscripta Math,1974,13:365-374.
    [3] Martin R H.A global existence theorem for autonomous differential equations in Banach spaces[J].Proc Amer Math Soc,1970,26:307-314.
    [4] CHANG Shih-sen.On Chidume's open questions and approximate solutions of multivalued strongly accrettive mapping equations in Banach spaces[J].J Math Anal Appl,1997,216:94-111.
    [5] CHANG Shih-sen.Some problems and results in the study of nonlinear analysis[J].Nonlinear Anal TMA,1997,30:4197-4208.
    [6] CHANG Shih-sen,Cho Y J,Lee B S,et al.Iterative approximations of fixed points and solutions for strongly accretive and strongly pseudo-contractive mappings in Banach spaces[J].J Math Anal Appl,1998,224:149-165.
    [7] Chidume C E.Steepest descent approximations for accretive operator equations[J].Nonlinear Anal,TMA,1996,26:299-311.
    [8] Chidume C E,Osilike M O.Nonlinear accretive and pseudo-contractive operator equations in Banach spaces[J].Nonlinear Anal,TMA,1998,31:779-789.
    [9] Chidume C E.Iterative solutions of nonlinear equations with strongly accretive operators[J].J Math Anal Appl,1995,192:502-518.
    [10] Chidume C E.Global iteration schemes for strongly pseudo-contractive maps[J].Proc Amer Math Soc,1998,126(9):2614-2649.
    [11] Deng L,Ding X P.Iterative approximation of Lipschitz strictly pseudo-contractive mappings in uniformly smooth Banach spaces[J].Nonlinear Anal,TMA,1995,24:981-987.
    [12] Liu L W.Approximation of fixed points of a strongly pseudo-contractive mappings[J].Proc Amer Math Soc,1997,125:1363-1366.
    [13] Tan K K,Xu H K.Iterative solution to nonlinear equations and strongly accretive operators in Banach spaces[J].J Math Anal Appl,1993,178:9-21.
    [14] Xu Z B,Roach G F.A necessary and sufficient condition for convergence of streepest descent approximation to accretive operator equations[J].J Math Anal Appl,1992,167:340-354.
    [15] Zhou H Y,Jia Y T.Approximation of fixed points of strongly pseudo-contractive maps without Lipschitz assumption[J].Proc Amer Math Soc,1997,125:1705-1709.
    [16] Fitzpatrick P M,Hess P,Kato T.Local boundedness of monotone type operators[J].Proc Japan Acad,1972,48:275-277.
    [17] Kato T.Nonlinear semigroups and evolution equations[J].J Math Soc Japan,1967,19:508-520.
  • 加载中
计量
  • 文章访问数:  2061
  • HTML全文浏览量:  99
  • PDF下载量:  729
  • 被引次数: 0
出版历程
  • 收稿日期:  2000-12-12
  • 修回日期:  2001-11-05
  • 刊出日期:  2002-04-15

目录

    /

    返回文章
    返回