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

Browder不动点定理的推广及应用

张石生 张宪

张石生, 张宪. Browder不动点定理的推广及应用[J]. 应用数学和力学, 1999, 20(9): 881-888.
引用本文: 张石生, 张宪. Browder不动点定理的推广及应用[J]. 应用数学和力学, 1999, 20(9): 881-888.
Zhang Shisheng, Zhang Xian. A Generalization of Browder’s Fixed Point Theorem With Applications[J]. Applied Mathematics and Mechanics, 1999, 20(9): 881-888.
Citation: Zhang Shisheng, Zhang Xian. A Generalization of Browder’s Fixed Point Theorem With Applications[J]. Applied Mathematics and Mechanics, 1999, 20(9): 881-888.

Browder不动点定理的推广及应用

基金项目: 国家自然科学基金资助课题(19971058)
详细信息
    作者简介:

    张石生(1934~ ),男,教授,已发表论文270余篇,获省部级奖6项.

  • 中图分类号: O177.91

A Generalization of Browder’s Fixed Point Theorem With Applications

  • 摘要: 研究Browder不动点定理,得到Browder不动点定理之一新的推广定理及其几种等价形式.作为应用,研究了最近点和不动点的存在性问题.
  • [1] Browder F.The fixed pointtheory of multivalued mappings in topological vector space[J].Math Ann,1968,177:183~301.
    [2] 张石生.变分不等式和相补问题理论及应用[M].上海:上海科技文献出版社,1991.
    [3] Tarafdar E.On nonlinear variational inequalities[J].Proc Amer Math Soc,1977,67:95~98.
    [4] Tarafdar E.Afixed pointtheorem equivalentto Fan-Knaster-Kuratowski-Mazurkieweicz'stheorem[J].J Math Anal Appl,1987,128:475~479.
    [5] Tarafdar E.Five equivalent theorems on a convex subset of a topological vector spaces[J].Comment Math Univ Carolinae,1989,30(2):323~326.
    [6] Tian G Q.Generalizations of K K Mtheorem and the Ky Fan minimax inequality with applications to maximal elements,price equilibrium and complementarity[J].J Math Anal Appl,1992,170:457~471.
    [7] Chang Shih-sen,Cho Y J,Wu X,Zhang Y.Thetopological versions of K K Mtheoremand Fan's matching theorem with applications[J].Topological Methods in Nonlinear Anal,1993,1:231~245.
    [8] Kindler J.Topological intersection theorems[J].Proc Amer Math Soc,1993,117:1003~1011.
    [9] Allen G.Variational inequalities,complementarity problems and duality theorem[J].J Math Anal Appl,1977,58:1~10.
    [10] Fan Ky.A minimax inequality and applications[A].In:Shisha O Ed.Inequalities Ⅲ[C].Academic Press,1972.
    [11] Fan Ky.Ageneralization of Tychonoff's fixed point theorem[J].Math Ann,1961,141:303~310.
    [12] Fan Ky.Some properties of convex setsrelated to fixed point theorems[J].Math Ann,1984,266:519~537.
  • 加载中
计量
  • 文章访问数:  2499
  • HTML全文浏览量:  98
  • PDF下载量:  1062
  • 被引次数: 0
出版历程
  • 收稿日期:  1998-10-05
  • 修回日期:  1999-05-18
  • 刊出日期:  1999-09-15

目录

    /

    返回文章
    返回