Hilbert空间中非扩张映象不动点迭代逼近的CQ方法  

The CQ Method for Iterative Approximation of Nonexpansive-Mapping Fixed Points in Hilbert Spaces

作　　者：赵世莲[1] 

机构地区：[1]西华师范大学数学与信息学院

出　　处：《内江师范学院学报》2010年第8期14-16,43,共4页Journal of Neijiang Normal University

基　　金：国家自然科学基金(60804065);西华师范大学科研启动基金(08B075)资助

摘　　要：在Hilbert空间中,利用CQ方法证明了非扩张映象的Halpern迭代序列是良定的,并证明了该迭代序列有界是非扩张映象不动点存在的一个充要条件.推广了Matsushita与Takahashi的某些结果。By use of CQ method,the Halpern iterative sequences involving nonexpansive mappings have been proven well-defined.Proven also is the sufficient and necessary condition being that such Halpern iterative sequences must be bounded for the existence of fixed points of nonexpansive mappings in the Hilbert spaces.These results can serve to generalize some results of Matsushita and Takahashi.

关 键 词：非扩张映象 不动点 CQ方法 Halpern迭代 

分 类 号：O177.91[理学—数学]