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

q-致光滑Banach空间中带误差项的Mann迭代过程

  • 石家庄铁道学院数学物理系, 河北石家庄 050043
  • DOI:

Mann Iteration Process with Errors in q-uniformly Smooth Banach Spaces

摘要/Abstract

摘要:

q(>2)一致光滑实Banach空间中,运用新的数学分析技巧,给出一类非Lipschitz及非值域有界的Φ强增生映射和Φ强伪压缩映射的带误差项Mann迭代序列的收敛定理,推广并概括了目前一些相应结果.

Abstract:

By using new analysis techniques,it is investigated that the convergence theorems for Mann iteration process with errors,for non-Lipschitz and bounded range Φ-strongly accretive oprators and Φ-strongly pseudocontractive mapping,In q(>2)-uniformly smooth Banach spaces.These results include some corresponding results at preset.