摘要
本文引入渐近Φ-半压缩型映象概念和映象对的Mann型迭代算法,在任意实Banach空间下,利用与以往文献不同的方法,建立并证明了迭代序列的强收敛定理.这些结果推广、改进和统一了最近文献的相关结果.
In this paper, we introduce the asymptotically Ф-hemicontrative type mappings and the Mann type iterative algorithm for two operators. By using a different method, we establish and prove strong convergence theorems for Mann type iterative sequence in real Banach spaces. These results presented in this paper extend, improve and unify the recent corresponding results.
出处
《数学进展》
CSCD
北大核心
2015年第6期882-888,共7页
Advances in Mathematics（China）
基金
山东省自然科学基金(No.ZR2013AL015)
关键词
渐近Φ-半压缩型映象
Mann型迭代
强收敛
不动点
asymptotically Ф-hemicontrative type mapping
Mann type iteration
strong convergence
fixed point
