有限簇非扩张映象的不动点定理及逼近算法  

Approximate Methods and Theorems of Common Fixed-points for a Finite Family of Nonexpansive Mappings

作　　者：闻道君[1] 邓磊[2] 

机构地区：[1]重庆工商大学数学与统计学院,重庆400067 [2]西南大学数学与统计学院,重庆400715

出　　处：《数学物理学报（A辑）》2012年第3期540-546,共7页Acta Mathematica Scientia

基　　金：国家自然科学基金(11001287);重庆市自然科学基金(CSTC 2010BB9254);重庆市教委科技研究项目(KJ110701)资助

摘　　要：在具有一致Gateaux可微范数的Banach空间中,研究了一个逼近有限簇非扩张映象不动点的修正的Mann迭代,并在一定条件下证明了该迭代格式所产生的序列强收敛到有限簇非扩张映象的某个公共不动点.In this paper, a modified Mann iteration is proposed for finding a common fixedpoint of a finite family of nonexpansive mappings, in which strong convergence theorems are proved under some suitable conditions. The results presented in this paper can be considered as an extension and improvement of some previously known results.

关 键 词：非扩张映象 公共不动点 修正的Mann迭代 BANACH极限 

分 类 号：O177.91[理学—数学]