Banach空间中两类压缩映射的迭代逼近  

Iterative Approximation of Two Contractive Mappings in Banach Space

作　　者：刘桂霞[1] 姚力[1] 

机构地区：[1]河北建筑工程学院数学物理系,河北张家口075000

出　　处：《大学数学》2006年第6期48-52,共5页College Mathematics

摘　　要：讨论了Banach空间中拟压缩映射和广义压缩映射的具误差的Ishikawa迭代序列的收敛性,得出了在一定条件下,这两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.This paper discussed the convergence of Ishikawa iterative processes with errors for quasi-cont,＇active mapping and generalized contractive mapping in Banach space. It was proved that under certain conditions the iterative sequences converge strongly to the fixed points of these two contractive mappings, respectiyely. The authors generalized and developed some results in the same kind and expanded the applied scope of these results.

关 键 词：拟压缩映射 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]