数学物理学报 ›› 2015, Vol. 35 ›› Issue (2): 422-440.

• 论文 • 上一篇    下一篇

混合型渐近非扩张映射合成隐迭代序列的收敛性定理

刘涌泉, 郭伟平   

  1. 苏州科技学院数理学院 江苏苏州 215009
  • 收稿日期:2013-09-12 修回日期:2014-11-27 出版日期:2015-04-25 发布日期:2015-04-25
  • 通讯作者: 郭伟平 E-mail:guoweiping18@aliyun.com
  • 作者简介:刘涌泉,E-mail:lyq60913016@hotmail.com
  • 基金资助:

    国家自然科学基金(11271282)资助

Convergence Theorems of Composite Implied Iterative Scheme for Mixed Type Asymptotically Nonexpansive Mappings

Liu Yongquan, Guo Weiping   

  1. School of Mathematics and Physics, Suzhou University of Science and Technology, Jiangsu Suzhou 215009
  • Received:2013-09-12 Revised:2014-11-27 Online:2015-04-25 Published:2015-04-25

摘要:

在一致凸Banach空间中, 研究了有限族渐近非扩张自映射和渐近非扩张非自映射的新的合成隐迭代序列的强收敛和弱收敛定理. 得到的结果改进和推广了许多作者的相应结果.

关键词: 混合型渐近非扩张映射, 合成隐迭代序列, 强弱收敛, 公共不动点, 一致凸Banach空间

Abstract:

The purpose of this paper is to study the weak and strong convergence of a new composite implicit iteration scheme to a common fixed point for a finite family of asmptotically nonexpansive self-mappings and a finite family of asymptotically nonexpansive nonself-mappings in Banach spaces. The results showed in this paper extend and improve the corresponding results of several authors.

Key words: Mixed type asymptotically nonexpansive mapping, Composite implied iterative scheme, Strong and weak convergence, Common fixed point, Uniformly convex Banach space

中图分类号: 

  • O177.91