压缩型映象的Picard、Mann和Ishikawa迭代序列收敛的等价性  

On Equivalence among Picard,Mann and Ishikawa Iterations for Contractive Type Mapping

作　　者：吴定平[1] 

机构地区：[1]宜宾学院学报编辑部,四川宜宾644000

出　　处：《宜宾学院学报》2006年第12期7-9,共3页Journal of Yibin University

基　　金：四川省教育厅重点基金项目(2005A174)

摘　　要：在Banach空间中引入压缩型映象的Picard、Mann和Ishika wa迭代序列,研究其收敛的等价性问题。在适当条件下得出了这几类迭代序列收敛的等价性结果,从而完善和补充了文的相应结果。The purpose of this article is to introduce and to study the equivalence among the convergences of Picard, Mann and Ishikawa iterations for contractive type mappings in Banach spaces. Under appropriate conditions some, equivalence resuits among the convergence of these kinds of iterations are obtained. The results presented in the article are perfect and replenish the corresponding results with.

关 键 词：Picard选代 MANN迭代 ISHIKAWA迭代 压缩型映象 

分 类 号：O177.2[理学—数学]