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关于分离变分包含和不动点问题的迭代算法(英文)
引用本文:张丽娟,陈俊敏.关于分离变分包含和不动点问题的迭代算法(英文)[J].应用数学,2019,32(1):113-118.
作者姓名:张丽娟  陈俊敏
作者单位:河北大学数学与信息科学学院
基金项目:Supported by the National Natural Science Foundation of China(11401157);Natural Science Foundation of Hebei Province(A2018201172)
摘    要:在Hilbert空间中,为了找到分离变分包含问题和渐近严格伪压缩映射不动点问题的公共解,本文介绍一种迭代算法,在某些条件下得到关于公共解的弱收敛定理.

关 键 词:非扩张映射  分离变分包含  渐近严格伪压缩映射  不动点
收稿时间:2018/3/6 0:00:00

An Iterative Algorithm for Split Variational Inclusions and Fixed Point Problems
ZHANG Lijuan,CHEN Junmin.An Iterative Algorithm for Split Variational Inclusions and Fixed Point Problems[J].Mathematica Applicata,2019,32(1):113-118.
Authors:ZHANG Lijuan  CHEN Junmin
Institution:(College of Mathematics and Information Science,Hebei University,Baoding 071002,China)
Abstract:In this paper, we introduce an iterative method for finding a common solution of split variational inclusion problem and fixed point problem of an asymptotically strict pseudocontraction in Hilbert spaces. Weak convergence theorem of the proposed iterative scheme is obtained under suitable conditions.
Keywords:Nonexpansive mapping  Split variational inclusion  Asymptotically strict pseudocontraction  Fixed point
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