A shrinking projection algorithm for proximal split feasibility and fixed point problems

被引：0
|
作者：
Chen J. [1 ]
机构：
[1] School of Mathematics and Statistics, Lingnan Normal University, Zhanjiang
来源：
Applied Set-Valued Analysis and Optimization | 2020年 / 2卷 / 02期
关键词：
Asymptotically k-strictly pseudo-contractive mapping; Proximal split feasibility problem; Shrinking projection method; Variational inequality problem;
D O I：
10.23952/asvao.2.2020.2.09
中图分类号：
学科分类号：
摘要：
In this paper, we study proximal split feasibility, and fixed point problems. For solving these problems, we introduce a shrinking projection algorithm in the framework of Hilbert spaces. It is proven that the sequence generated by the proposed iterative algorithm converge to a common solution of a proximal split feasibility problem and a fixed point problem of an asymptotically k-strictly pseudocontractive mapping in the intermediate sense. ©2020 Journal of Nonlinear Functional Analysis
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页码：255 / 270
页数：15
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