中北大学学报（自然科学版）2016，Vol.37Issue(5)：451-455,5.DOI:10.3969/j.issn.1673-3193.2016.05.003
Banach空间中非扩张映像的一般正则化方法
General Regularization Methods for Nonexpansive Mappings in Banach Spaces
摘要
Abstract
The general regularization method for nonexpansive mappings T in the uniformly smooth Ba-nach space was investigated.According to the iterative algorithm for regularization method in the Hil-bert space and the basic conclusion of the uniformly smooth Banach space,on condition that the set Fix(T)of fixed points of T is nonempty,the algorithm converge to a fixed point of non-expansive map-pings T strongly in the Banach space.Finally,the algorithm generates a strong convergence sequence when the iterative algorithm is changed under less restrictive assumptions.The general regularization method is robust and flexible in some variational inequalities problems of management science and medi-cal image processing.关键词
非扩张映像/一般正则化方法/Banach空间/不动点Key words
nonexpansive mapping/general regularization method/Banach spaces/fixed point分类
数理科学引用本文复制引用
王苗苗,杨晋..Banach空间中非扩张映像的一般正则化方法[J].中北大学学报（自然科学版）,2016,37(5):451-455,5.基金项目
国家自然科学青年基金资助项目(11401422) （11401422）
