Convergence Analysis of Iterative Sequences for a Pair of Mappings in Banach Spaces

被引：0
|
作者：
N.C.WONG [1 ]
J.C.YAO [1 ]
机构：
[1] Department of Applied Mathematics,National Sun Yat-Sen University,Kaohsiung,Taiwan 80424
来源：
Acta Mathematica Sinica,English Series | 2008年 / 24卷 / 03期
关键词：
quasi-nonexpansive mapping; asymptotically demicontractive type mapping; iterative sequence; convergence analysis;
D O I：
暂无
中图分类号：
O177.2 [巴拿赫空间及其线性算子理论];
学科分类号：
070104 ;
摘要：
Let C be a nonempty closed convex subset of a real Banach space E.Let S:C→C bea quasi-nonexpansive mapping,let T:C→C be an asymptotically demicontractive and uniformlyLipschitzian mapping,and let F:={x ∈ C:Sx=x and Tx=x}≠=φ.Let{X}be the sequencegenerated from an arbitrary x∈ C byx=(1-c)Sx+cT~nx,n≥0.We prove the necessary and sufficient conditions for the strong convergence of the iterative sequence{x}to an element of F.These extend and improve the recent results of Moore and Nnoli.
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页码：463 / 470
页数：8
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