Banach空间中渐近φ-伪压缩映像的Ishikawa迭代过程  

Ishikawa Iterative Process for Asymptotically φ-pseudo-contractive Mappings in Banach Spaces

作　　者：吕桂稳[1] 薛志群[1] 张素娟[1] 

机构地区：[1]石家庄铁道大学数理系,河北石家庄050043

出　　处：《河北师范大学学报（自然科学版）》2011年第6期541-546,共6页Journal of Hebei Normal University：Natural Science

基　　金：国家自然科学基金(19971068)

摘　　要：在任意Banach空间中研究了用修改的Ishikawa迭代序列与修改的Mann迭代序列来逼近一致Lips-chitz的渐近φ-伪压缩映像的不动点的强收敛问题.The problem of approximating to the fixed points of uniformly Lipschitzian asymptotically psendo-contractive mappings in an arbitrary real Banach space by the modified Ishikawa iterative sequences is investigated.

关 键 词：渐近φ-伪压缩映像 一致Lipschitz映像 带误差修改的Ishikawa迭代 带误差修改的Mann迭代 任意BANACH空间 

分 类 号：O177.91[理学—数学]