集值非扩张映象不动点迭代收敛性  

Convergence iteration of fixed points of setvalued nonexpansive mapping

作　　者：宋义生[1] 沈熙林 陈汝栋[1] 

机构地区：[1]天津工业大学数学系,天津300160 [2]新乡师范高等师专科学校数学系,河南新乡453002

出　　处：《纺织高校基础科学学报》2005年第1期23-25,共3页Basic Sciences Journal of Textile Universities

摘　　要：讨论了集值非扩张映象在一致凸Banach空间中Ishikawa迭代序列的收敛性及确保迭代程序收敛到不动点的条件,所得结果是曾六川等的推广和发展.Convergence of Ishikawa iteration sequence for setvalued nonexpansive mapping are discussed in uniformly covex Banach space, and the conditions are shown which guarantee the convergence of the iteration sequence to a fixed point. The result generalizes and develops some known results of Zeng Luchuan etc.

关 键 词：集值非扩张 迭代序列 不动点 一致凸BANACH空间 OPIAL条件 

分 类 号：O177.91[理学—数学]