关于广义Φ-压缩映射几种迭代序列收敛的等价性  

The Equivalence of Iterative Sequences Convergence for a Class Nonlinear Mapping

作　　者：张健[1] 翟全礼[1] 

机构地区：[1]唐山学院基础教学部,河北唐山063000

出　　处：《数学的实践与认识》2011年第12期243-248,共6页Mathematics in Practice and Theory

摘　　要：在广义Φ-压缩映射条件下,分别得到了Picard迭代序列与Krasnoselskii迭代序列以及Mann迭代序列与Ishikawa迭代序列收敛的等价性.In this paper, it is shown that the convergence of Noor iteration sequence is equivalent to Mann iteration sequence, and the convergence of Mann iteration sequence is equivalent to Ishikawa iteration sequence for generalized φ- contractive mappings in an arbitrary real Banach spaces.

关 键 词：广义φ-压缩映射 不动点 Picard迭代序列 MANN迭代序列 Ishikawa迭 代序列 

分 类 号：O177.91[理学—数学]