烟台大学学报(自然科学与工程版)2017,Vol.30Issue(2):79-88,10.DOI:10.13951/j.cnki.37-1213/n.2017.02.001
Φ-伪压缩映象迭代序列的收敛性与稳定性
Convergence and Stability of Iterative Sequences forΦ-Pseudo-Contractive Mappings
摘要
Abstract
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∈DTx.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.关键词
Φ-伪压缩映象/广义Lipschitz映象/混合型误差/Ishikawa迭代序列/Mann迭代序列/稳定性Key words
Φ-pseudo-contractive mapping/generalized Lipschitz mapping/mixed error/Ishikawa iterative sequence/Mann iterative sequence/stability分类
数理科学引用本文复制引用
李丹,张树义,赵美娜..Φ-伪压缩映象迭代序列的收敛性与稳定性[J].烟台大学学报(自然科学与工程版),2017,30(2):79-88,10.基金项目
国家自然科学基金资助项目(11371070). (11371070)