非扩张映象的Ishikawa迭代与最佳逼近元  

Ishikawa Iteration of Coupled Fixed Points for Nonexpansive Mapping and Element of the Best Approximation

作　　者：廖正琦[1] 

机构地区：[1]重庆交通大学理学院,重庆400074

出　　处：《重庆交通学院学报》2007年第3期163-165,共3页Journal of Chongqing Jiaotong University

摘　　要：在严格凸Banach空间中研究了非扩张映象T的耦合不动点集F(T)的闭凸性,获得了当F(T)是Hilbert空间中的闭线性子空间时,Ishikawa迭代的极限元与其初始元的最佳逼近元之间的关系.In strictly convex Banach space, there is set F（T） of coupled fixed points of T for nonexpansive mapping, and it is a closed convex set. When the F（T） becomes the closed linear subspace of the Hilbert space, the relationship of the elements of best approximation between the limit element and initial element of Ishikawa iteration is put forward.

关 键 词：非扩张映象 耦合不动点 严格凸 最佳逼近元 

分 类 号：O177[理学—数学]