Banach空间中修正的Mann迭代与Ishikawa迭代收敛的等价性  

The Equivalence of the Convergence Between Modified Mann and Ishikawa Iterations in Banach Spaces

作　　者：张健[1] 范振耀[1] 翟全礼[1] 

机构地区：[1]唐山学院基础部,河北唐山063000

出　　处：《数学的实践与认识》2012年第10期251-256,共6页Mathematics in Practice and Theory

摘　　要：在实Banach空间框架下,证明了新修正的Mann迭代与修正的Ishikawa迭代关于一致Lipschitz映射不动点收敛的等价性.It is shown that the convergence between modified Mann iteration and Ishikawa iteration is equivalent for uniformly Lipschitz mappings in real Banach spaces.

关 键 词：渐进伪压缩映射 一致L-Lipschitz映射 等价性 

分 类 号：O177.2[理学—数学]