摘要
KM(Krasnoselskii-Mann)迭代算法在解决不动点问题中有重要作用,而且经典的KM迭代算法在Banach空间中弱收敛.在Banach空间考虑可变广义KM迭代算法,借助关键不等式,证明了其收敛性.该算法推广了Banach空间的可变KM迭代算法.
KM(Krasnoselskii-Mann)algorithm is extremely helpful in solving fixed point problems,and the classical KM algorithm has weak convergence in Banach space.The variable generalized KM iterative algorithm is considered in Banach space,and its convergence is proved by aid of the key inequalities.This algorithm extends the variable KM iterative algorithm in Banach space.
作者
张有才
唐奎
周国霞
ZHANG Youcai;TANG Kui;Zhou Guoxia(School of Mathematics and Information,China West Normal University,Nanchong,Sichuan 637009,China;Nanchong No.1 Middle School,Nanchong,Sichuan 637009,China;Bishan Vocational Education Center in Chongqing,Bishan,Chongqing 402760,China)
出处
《内江师范学院学报》
2019年第12期31-34,44,共5页
Journal of Neijiang Normal University
基金
西华师范大学国家一般培育项目（18B031)
2018年国家级大学生创新创业项目(201810638047)
