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
The Equivalence Between the Convergence of Modified Mann and Implicit Mann Iterations in Banach Spaces
摘要/Abstract
摘要:
在一般的Banach空间中,证明了修改的Mann迭代序列和修改的隐Mann迭代序列关于几乎一致L-Lipschitz的广义渐近Φ-压缩映射收敛的等价性定理,推广和改进了近期的相关结果.
Abstract:
The equivalence of the convergence of the modified Mann iterationprocess and the modified implicit Mann iteration process for nearly uniformly L-Lipschitz and asymptotically generalized Φ-contractive mappings in general Banach spaces is proved.The corresponding results are extended and improved.