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

实Banach空间中带误差项的广义Mann迭代序列的收敛定理

  • 石家庄铁道学院数理系, 河北石家庄 050043
  • DOI:

The Convergent Theorems of Generalized Mann Iterative Sequence with Errors in Real Banach Spaces

摘要/Abstract

摘要:

E是实Banach空间,DE的非空子集,映射T:DD为一致连续、值域有界的Φ-伪压缩算子,证明了广义的Mann迭代序列强收敛到T的唯一不动点.

Abstract:

Let E be a real Banach space and D be a nonempty closed convex subset of E.Suppose that T:DD is a uniformly continuous and Φ-pseudocontractive mapping with bounded range.The generalized Mann iterative sequence with errors converges strongly to the unique fixed point of T.