数学物理学报 ›› 2013, Vol. 33 ›› Issue (5): 906-911.

• 论文 • 上一篇    下一篇

非扩张映射的不动点定理

尹婷婷|胡长松*|吴智宇   

  1. 湖北师范学院数学与统计学院 湖北 黄石 435002
  • 收稿日期:2012-04-19 修回日期:2013-05-11 出版日期:2013-10-25 发布日期:2013-10-25
  • 通讯作者: 胡长松,huchang1004@yahoo.com.cn E-mail:huchang1004@yahoo.com.cn

The Fixed Point Theorem of Nonexpansive Mapping

 YIN Ting-Ting, HU Chang-Song*, WU Zhi-Yu   

  1. Department of Mathematics, Hubei Normal University, Hubei Huangshi, 435002
  • Received:2012-04-19 Revised:2013-05-11 Online:2013-10-25 Published:2013-10-25
  • Contact: HU Chang-Song,huchang1004@yahoo.com.cn E-mail:huchang1004@yahoo.com.cn

摘要:

研究了定义在非空闭凸的, 但不一定有界集上的非扩张映射不动点的存在性问题. 利用 Hausdorff 非紧性测度获得了非扩张映射的不动点定理.

关键词: 非扩张映射, Hausdorff非紧性测度, 渐近不动点集, Banach空间

Abstract:

In this paper, we introduce a new method to show the existence of fixed point for nonexpansive mappings defined on closed, convex not necessarily bounded subsets of Banach spaces, we use Hausdorff measure of noncompactness throughout this paper.

Key words: Nonexpansive mapping, Hausdorff measure of noncompactness, Approximate fixed point, Banach space

中图分类号: 

  • 47H09