单调α-非扩张映象不动点的强收敛定理  

Some Strong Convergence Theorem of Fixed Point for Monotone α-Nonexpansive Mapping

作　　者：闻道君[1] 胡洵[1] 

机构地区：[1]重庆工商大学数学与统计学院,重庆400067

出　　处：《西南大学学报（自然科学版）》2018年第2期44-48,共5页Journal of Southwest University(Natural Science Edition)

基　　金：国家自然科学基金项目(11471059);重庆市前沿与应用基础研究项目(cstc2016jcyjA0101;cstc2016jcyjA0564);重庆市教委科技研究项目(KJ1500623;KJ1400630)

摘　　要：在一致凸Banach空间中引入偏序,介绍了一个改进的关于单调α-非扩张映象不动点的两步迭代逼近方法,在适当条件下研究了单调α-非扩张映象不动点的存在性和强收敛定理.In this paper,a modified two-step iterative approximation method is introduced for finding a fixed point of monotoneα-nonexpansive mapping in a uniformly convex ordered Banach space with a partial order.Moreover,the existence theorems and strong convergence theorems are studied about the fixed point of monotoneα-nonexpansive mapping under some suitable conditions.

关 键 词：单调α-非扩张映象 偏序 不动点 强收敛 一致凸BANACH空间 

分 类 号：O177.91[理学—数学]