渐近非扩张映射不动点的存在与迭代收敛性  

Iterative Approximation of Fixed Points Asymptotically Nonexpansive Mappings in Uniformly Convex Banach space

作　　者：于延荣[1] 宋义生[1] 

机构地区：[1]天津工业大学数学系,天津300160

出　　处：《数学的实践与认识》2007年第19期144-149,共6页Mathematics in Practice and Theory

基　　金：国家自然科学基金资助项目(1027101120040401);天津市教委高校科技发展基金资助(20051527)

摘　　要：主要讨论一致凸Banach空间E中的非空闭凸子集上渐近非扩张映象不动点集非空的充要条件以及修正的Ishikawa迭代序列{xn}收敛到不动点的充要条件,推广与发展了Zeng Luchuan(2001),曾六川(2003),Liu Qihou(2001)等人的相应结果.This paper mainly show that sufficent and necessary condtions of nonempty fixed points and sufficent and necessary condtions of the modified Ishikawa iteration sequence convergence to fixed points for asymptotically nonexpansive mappings of a nonempty closed convex subset in an uniformly convex Banach space. The results presented also extend and imprive some recent results.

关 键 词：不动点 渐近非扩张映射 一致凸BANACH空间 ISHIKAWA迭代程序 

分 类 号：O177[理学—数学]