Banach空间中渐近伪压缩映象迭代序列的强收敛性  

Strong Convergence of Iterative Sequence of Asymptotical Pseudo-contraction Mapping in Banach Spaces

作　　者：李万继[1] 

机构地区：[1]湖北汽车工业学院理学院,湖北十堰442002

出　　处：《湖北汽车工业学院学报》2014年第4期58-60,共3页Journal of Hubei University Of Automotive Technology

摘　　要：Banach空间中非线性算子的不动点的迭代逼近问题是非线性逼近理论中所研究的最重要的问题之一。本文中研究了Banach空间中渐近伪压缩映象不动点的迭代逼近问题,改进和推广了文献[6]的相应结果。The iterative approximation problem of fixed points for nonlinear operators in Banach spacesis one of the most important problems in the nonlinear approximation theory. The iterative approxima-tion to a fixed point of asymptotical pseudo-contraction mapping in Banach spaces was discussed. Somecorresponding results of reference[6]were improved, extended and developed.

关 键 词：渐近伪压缩映象 ISHIKAWA迭代序列 不动点 

分 类 号：O29[理学—应用数学]