Banach空间中2类压缩映射不动点的具误差的Ishikawa迭代序列的收敛性  

The Convergence of Ishikawa-type Iterative Processes with Errors for Two Contractive Mappings in Banach Space

作　　者：刘桂霞[1] 刘丽莉[1] 李彩娟[1] 

机构地区：[1]河北建筑工程学院数学物理系,河北张家口075024

出　　处：《河北师范大学学报（自然科学版）》2006年第1期13-16,共4页Journal of Hebei Normal University：Natural Science

基　　金：河北省自然科学基金资助项目(197061)

摘　　要：讨论了Banach空间中拟压缩映射对和广义压缩映射的具误差的Ishikawa迭代序列的收敛性问题,得出了在一定条件下,这2类压缩映射分别强收敛于它们的不动点.这些结论推广和发展了已有的相关结果,使这些结果的适用范围更广.The convergence of Ishikawa iterative processes with errors for quasi-contractive mapping pair and generalized contractive mapping in Banach space are discussed. It is proved that with certain condition, these two contractive mappings converge strongly to their fixed points. Some results in the same kind are generalized and devetoped and the applied scope of these results are expanded.

关 键 词：拟压缩映射对 广义压缩映射 一致光滑BANACH空间 具误差的Ishikawa迭代 

分 类 号：O177[理学—数学]