摘要
利用粘性逼近法在Hilbert空间以及lp(1<p≤2)等空间中给出了判定渐近非扩张非自射映象的Reich均值迭代强收敛的充要条件,并去掉了最近相关文献中的一些复杂条件.
In this paper,the author gives some convergence theorems of the sufficient and necessary conditions in determining the convergence of Reich type mean iteration for asymptotically nonexpansive mapping in Banach spaces,such as Hilbert spaces,and some implicit conditions of recent relative papers are deleted.
出处
《西南师范大学学报（自然科学版）》
CAS
CSCD
北大核心
2011年第5期40-43,共4页
Journal of Southwest China Normal University(Natural Science Edition)
基金
宜宾学院自然科学重点项目(2010z03)
关键词
渐近非扩张非自射映象
压缩映象
BANACH压缩映象原理
度规函数
弱连续对偶映象
asymptotically nonexpansive nonself-mapping
contractive mapping
Banach contraction principle
gauge function
weak continuous duality mapping
