摘要
θ方法是一个基本的求解微分方程的方法,已被广泛用于求解微分方程.介绍了一般的Hilbert空间中非扩张映射T的一类惯性θ方法.这个方法在θ方法原有迭代格式上增加了惯性项,并以隐式方式生成序列.证明了该序列的弱收敛性.
Theθ一methods is a fundamental method for solving differential equations and has been extensively used to solve differential equations.In this paper,a class of inertialθ一methods for a general nonexpansive mapping T in a Hilbert space is introduced.This method adds an inertial term in the original iteration format of theθmethod for nonexpansive mapping and generates a sequence in an implicit manner.The weak convergence of the sequence has been proved.
作者
董巧丽
郭文雅
DONG Qiaoli;GUO Wenya(College of Science, Civil Aviation University of China, Tianjin 300300, China)
出处
《河北工业大学学报》
CAS
2018年第1期44-47,共4页
Journal of Hebei University of Technology
基金
天津市智能信号与图象处理重点实验室开放课题(2016ASP-TJ01)
关键词
性加速
θ方法
不动点
非扩张映射
弱收敛
inertial accelerat
theta methods
fixed point
nonexpansive mapping
weak convergence
