平均非扩张映射的迭代格式  

Iterative Schemes of Mean Nonexpansive Mapping

作　　者：崔云安 张佳兴 CUI Yun-an;ZHANG Jia-xing(School of Applied Sciences, Harbin University of Science and Technology, Harbin 150080, China)

机构地区：[1]哈尔滨理工大学理学院,哈尔滨150080

出　　处：《哈尔滨理工大学学报》2021年第1期130-134,共5页Journal of Harbin University of Science and Technology

基　　金：国家自然科学基金(11871181).

摘　　要：基于Mann迭代、Ishikawa迭代以及一些其他的二步迭代三步迭代的构造方式,构造出两种新的四步迭代格式和一种n步迭代,在一致凸的Banach空间中的非空有界闭凸子集中研究了这两种四步迭代格式与平均非扩张映射T不动点之间的关系,并得到了新定义的n步迭代收敛于平均非扩张映射T的不动点的一个充分条件。Based on Mann iteration,Ishikawa iteration and some other two-step iteration,three-step iteration methods,two new four-step iteration schemes and one n-step iteration are constructed.A nonempty bounded closed convex subsetIn of a uniformly convex Banach space,the relationship between the two four-step iterative schemes and the fixed point of the mean nonexpansive mapping T is studied.A sufficient condition for the n-step iteration to converge to the fixed point of the mean nonexpansive mapping T is obtained.

关 键 词：平均非扩张映射 不动点性质 迭代格式 

分 类 号：O177[理学—数学]