赋β-范线性空间中渐近伪压缩映象的不动点迭代逼近问题  

Iterative Approximations of Fixed Points of Asymptotically Pseudo-contractive Mappings in β-normed Linear Space

作　　者：朱耿灿[1] 陈丽珍[1] 王建[1] 

机构地区：[1]福建师范大学数学与计算机科学系,福建福州350007

出　　处：《海南师范大学学报（自然科学版）》2009年第1期9-12,共4页Journal of Hainan Normal University（Natural Science）

基　　金：国家自然科学基金(10701063)

摘　　要：研究了赋β-范线性空间中渐近伪压缩和渐近非扩张映象的不动点迭代逼近问题,证明了渐近伪压缩映象T的修改的Ishikawa迭代序列收敛到不动点的充要条件.The iterative approximations of fixed points of asymtotically pseudo-contractive mappings and asymptotically nonexpansive mappings were studied and a sufficient and necessary condition for the new Ishikawa iteration sequence modified by asymptotically pseudo-contractive mapping T to converge to fixed points was proved.

关 键 词：渐近非扩张映象 渐近伪压缩映象 ISHIKAWA迭代序列 不动点 赋β-范线性空间 

分 类 号：O177.91[理学—数学]