上海交通大学学报

上海交通大学学报（自然版）

• 数学 • 上一篇    下一篇

严格渐近拟伪压缩映像迭代过程的稳定性

张 运 良
  

  1. （西安文理学院 数学系， 西安 710065)
  • 收稿日期:2009-12-11 修回日期:1900-01-01 出版日期:2010-10-31 发布日期:2010-10-31

Stability of Interative Procedure of the Strict Asymptotically Quasi Pseudocontractive Mappings

ZHANG Yunliang
  

  1. (Department of Mathematics, Xi’an University of Arts and Science, Xi’an 710065, China)
  • Received:2009-12-11 Revised:1900-01-01 Online:2010-10-31 Published:2010-10-31

摘要： 引入了严格渐近拟伪压缩映像概念.在任意实Banach空间中，研究依中间意义的渐近非扩张映像的严格渐近拟伪压缩映像Ishikawa迭代过程的稳定性问题.扩展了近期一些文献的相关结果.

关键词: 依中间意义的渐近非扩张映像, 严格渐近拟伪压缩映像, 稳定性

Abstract: By introducing the concept of strictly asymptotically quasipseudocontractive mappings, the stability of the Ishikawa iterative processer for asymptotically nonexpansive mappings in the intermediate sense and strictly asymptotically quasipseudocontractive mappings in arbitrary real Banach spaces were investigated. Our results improved and extended the recent corresponding results.

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