平均非扩张映射Ishikawa迭代收敛的充要条件  

Necessary and Sufficient Conditions for Convergence of Ishikawa Iteration of Mean Nonexpansive Mapping

作　　者：顾朝晖[1] 赵志红[2] 

机构地区：[1]广东外语外贸大学思科信息学院,广州510006 [2]北京理工大学珠海学院数理学院,珠海519085

出　　处：《湖南工程学院学报（自然科学版）》2012年第2期58-60,共3页Journal of Hunan Institute of Engineering(Natural Science Edition)

摘　　要：在Banach空间中研究了平均非扩张映射Ishikawa迭代的逼近问题,给出了平均非扩张映射的Ishikawa迭代的收敛的充要条件:limn→∞inf‖xn-Tyn‖=0.所得结果改进和推广了平均非扩张映射的Ishikawa迭代收敛的性质.The iterative approximation problems of fixed points are studied for mean nonexpansive mapping in Banach spaces. Some necessary and sufficient conditions are given for Ishikawa iterative sequence associated with mean nonexpansive mapping converge to fixed points： lira inf lim in f‖xn-Tyn‖=0. These results improve and extend the properties of Ishikawa iterative sequence associated with the mean nonexpansive mapping converge to fixed points

关 键 词：平均非扩张映射 ISHIKAWA迭代 不动点 

分 类 号：O177.91[理学—数学]