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空间多值Φ-强伪压缩映像不动点的迭代逼近

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

Iterative Approximation of Fixed Points for Multivalued Φ-strongly Pseudo-contractive Mappings in Banach Spaces

摘要/Abstract

摘要:

在一般Banach空间中,利用多值映像一致连续的性质,研究了多值Φ强伪压缩映像不动点的具误差的Ishikawa及Mann迭代逼近问题,得出了Ishikawa,Mann迭代序列强收敛的一个充分条件.由于单值映像是多值映像的特殊情况,故该结果改进和推广了近期相关结果.

Abstract:

By using property of uniform continuity of multi-valued mapping s , Ishikaw a and Mann itera-tive sequences fixed points for multi-valued Φ-strongly pseudo-contractive mapping s w ith errors in generalBanach spaces are studied .Some suf ficient conditions of strongly convergence t heo rem s of Ishikaw a andM ann iterative sequences wit h erro rs are given .Because single-valued mapping s are the special cases of multivalued , m ain results presented improve and ex tend relevant result s of reference literat ure .