有限非扩张映像族显格式迭代的强收敛性  

Strong convergence for a finite family of non-expansive mappings

作　　者：许素梅[1] 刘玉军[1] 

机构地区：[1]安阳师范学院数学科学学院,河南安阳455000

出　　处：《安徽大学学报（自然科学版）》2009年第1期22-24,共3页Journal of Anhui University(Natural Science Edition)

摘　　要：不动点理论是非线性泛函分析的重要组成部分,同时不动点理论的发展又推动着其他数学领域的发展.论文将在一致凸的Banach空间中提出一个有限非扩张映像族的迭代格式,当控制条件αn,λ满足一定的条件时,则{xn}强收敛于有限扩张族映像的一个公共不动点.这个结果推广了Xu H K[1]在2007年的结果.The fixed theory was an important parts of nonlinear functional analysis. The development of fixed point theory stimulated the study of many mathematical fields. We constructed effective iterative schemes to approximate the fixed point of mapping. A new algorithm was provided to found a fixed point of an finite family of non-expansive self - mapping of a closed convex subset of uniformly convex Banach space. When αn, A satisfied some conditions, then { xn } strongly converged to a common fixed point of T. The paper mainly extended Xu H K results and some others.

关 键 词：渐进非扩张 半紧性 不动点 一致凸BANACH空间 

分 类 号：O177.91[理学—数学]