期刊信息

  • 刊名: 河北师范大学学报(自然科学版)Journal of Hebei Normal University (Natural Science)
  • 主办: 河北师范大学
  • ISSN: 1000-5854
  • CN: 13-1061/N
  • 中国科技核心期刊
  • 中国期刊方阵入选期刊
  • 中国高校优秀科技期刊
  • 华北优秀期刊
  • 河北省优秀科技期刊

Banach空间中2类压缩映射不动点的具误差的Ishikawa迭代序列的收敛性

  • 河北建筑工程学院数学物理系 河北张家口 075024
  • DOI:

The Convergence of Ishikawa-type Iterative Processes with Errorsfor Two Contractive Mappings in Banach Space

摘要/Abstract

摘要:

讨论了Banach空间中拟压缩映射对和广义压缩映射的具误差的Ishikawa迭代序列的收敛性问题,得出了在一定条件下,这2类压缩映射分别强收敛于它们的不动点.这些结论推广和发展了已有的相关结果,使这些结果的适用范围更广.

Abstract:

The convergence of Ishikaw a iterative processes with errors for quasi-contractive mappingpair and generalized contractive mapping in Banach space are discussed .It is proved that with certain condition , these two contractive mappings co nverge strongly to their fixed points .Some results in the same kindare generalized and devetoped and the applied scope of these results are expanded.