摘要
在实一致凸、一致光滑Banach空间中,提出了新的修正杂交迭代算法,用以逼近相对非扩展映射的不动点.证明了一些强收敛定理,并讨论了迭代算法在逼近极大单调算子零点上的应用,推进了以往的研究成果.
In this paper,some new modified hybrid iterative schemes for approximating fixed points of relatively nonexpansive mappings in a real uniformly smooth and uniformly convex Banach space are proposed.Some strong convergence theorems are obtained,and the applications of the iterative schemes on approximating zero points of maximal monotone operators are demonstrated,which extend some previous work.
出处
《应用数学》
CSCD
北大核心
2009年第3期624-630,共7页
Mathematica Applicata
基金
Supported by National Natural Science Foundation of China(10771050)
关键词
相对非扩展映射
极大单调算子
强收敛
零点
不动点
Relatively nonexpansive mapping
Maximal monotone operator
Strong convergence
Zero point
Fixed point
