The Generalized Fermat-Torricelli Problem in Hilbert Spaces

被引：7
|
作者：
Reich, Simeon [1 ]
Truong Minh Tuyen [2 ]
机构：
[1] Technion Israel Inst Technol, Dept Math, IL-32000 Haifa, Israel
[2] Thai Nguyen Univ Sci, Dept Math & Informat, Thai Nguyen, Vietnam
来源：
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2023年 / 196卷 / 01期
基金：
以色列科学基金会;
关键词：
Hilbert space; Fermat-Torricelli problem; Metric projection; WEBER PROBLEM; CONVERGENCE; ALGORITHM;
D O I：
10.1007/s10957-022-02113-z
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 generalized Fermat-Torricelli problem and the split feasibility problem with multiple output sets in Hilbert spaces. We first introduce the generalized Fermat-Torricelli problem, and propose and analyze a subgradient algorithm for solving this model problem. Then we study the convergence of variants of our proposed algorithm for solving the split feasibility problem with multiple output sets. Our algorithms for solving this problem are completely different from previous ones because we do not use the least squares sum method.
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页码：78 / 97
页数：20
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