集值非扩张映象的不动点及带误差的Ishikawa迭代序列的收敛性  

Convergence of the Fixed Points of Multi-Valued Nonexpansive Mappings and the Ishikawa Iteration Sequences with Errors

作　　者：陈清明[1] 欧增奇[1] 

机构地区：[1]西南大学数学与统计学院,重庆400715

出　　处：《西南大学学报（自然科学版）》2015年第10期62-66,共5页Journal of Southwest University(Natural Science Edition)

基　　金：国家自然科学基金项目(11101347)

摘　　要：在Banach空间中讨论了集值非扩张映象带误差的Ishikawa迭代序列的收敛性,然后在适当条件下证明了集值非扩张映象存在不动点.所得结果改进了已有的一些结果.This paper discusses the convergence of the Ishikawa iteration sequences with errors for multivalued nonexpansive mappings.Under some suitable conditions,the existence of fixed points for multivalued nonexpansive mappings is obtained.Some of the results extend and improve the corresponding known results.

关 键 词：集值非扩张映象 带误差的Ishikawa迭代序列 不动点 

分 类 号：O177.91[理学—数学]