严格伪压缩映象的不动点逼近及收敛速率估计  

On the Approximation Problem for Fixed Points of Strictly Pseudocontractive Mappings and Convergence Rate Estimate

作　　者：何昌[1] 施冰[1] 孙昭洪[2] 

机构地区：[1]大理学院,云南大理671000 [2]玉溪师范学院,云南玉溪653100

出　　处：《昆明理工大学学报（理工版）》2003年第2期151-153,共3页Journal of Kunming University of Science and Technology(Natural Science Edition)

基　　金：云南省自然科学基金(项目编号:2002A0058M)

摘　　要：在Banach空间中证明了Ishikawa迭代序列强收敛到任意闭凸集上严格伪压缩映象的不动点,并得到更为精确的收敛速率估计。本文结果发展和改进了引文[1,2]的相关结果。It proves in a Banach space that Ishikawa iterative sequence strongly converges at the fixed point of strictly pseudocontractive mappings on arbitrary closed, convex sets. The argument provides more accurate convergence rate estimate. The results in this paper develop and improve the corresponding results of papers[l,2] .

关 键 词：严格伪压缩映象 L-Lipschitz映象 ISHIKAWA迭代序列 MANN迭代序列 BANACH空间 收敛速率估计 不动点逼近 

分 类 号：O177.91[理学—数学]