An optimization approach to solving the split feasibility problem in Hilbert spaces

被引：44

作者：

Reich, Simeon ^{[1
]}

Tuyen, Truong Minh ^{[2
]}

Ha, Mai Thi Ngoc ^{[3
]}

机构：

[1] Technion Israel Inst Technol, Dept Math, IL-32000 Haifa, Israel

[2] Thai Nguyen Univ Sci, Dept Math & Informat, Thai Nguyen, Vietnam

[3] Thai Nguyen Univ Agr & Forestry, Thai Nguyen, Vietnam

来源：

JOURNAL OF GLOBAL OPTIMIZATION | 2021年 / 79卷 / 04期

基金：

以色列科学基金会;

关键词：

Hilbert space; Metric projection; Nonexpansive mapping; Split feasibility problem; SHRINKING PROJECTION METHOD; STRONG-CONVERGENCE; ALGORITHMS; SETS;

D O I：

10.1007/s10898-020-00964-2

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

We study the split feasibility problem with multiple output sets in Hilbert spaces. In order to solve this problem we introduce two iterative methods by using an optimization approach. Our iterative methods do not depend on the norm of the transfer operators.

引用

页码：837 / 852

页数：16

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