摘要
在没有T(D)=∪_(x∈D)Tx有界条件下,在实Banach空间中研究了广义Lipschitz Φ-伪压缩映象不动点的带混合型误差的Ishikawa和Mann迭代序列的逼近问题,使用新的分析方法,建立了带混合型误差的Ishikawa和Mann迭代序列的收敛性与稳定性定理,从而推广和改进了一些已知结果.
The problem of approximations of the fixed point of Ishikawa and Mann iterative sequence with mixed errors for generalized Lipschitz Φ-pseudo-contractive mappings in real Banach spaces is studied without bounding of T(D)=∪x∈D Tx. The convergence and stability theorems of Ishikawa and Mann iterative sequence with mixed errors are established by using new method,providing an extension and improvement of some existing results.
作者
李丹
张树义
赵美娜
LI Dan ZHANG Shu-yi ZHAO Mei-na(College of Mathematics and Physics,Bohai University,Jinzhou 121013, China)
出处
《烟台大学学报(自然科学与工程版)》
CAS
2017年第2期79-88,共10页
Journal of Yantai University(Natural Science and Engineering Edition)
基金
国家自然科学基金资助项目(11371070)