Gradient methods with selection technique for the multiple-sets split feasibility problem

In this paper, we present two new iterative algorithms for approximating a solution of the multiple-sets split feasibility problem. The suggested algorithms are based on the gradient method with selection technique. Weak and strong convergence theorems are demonstrated.

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Published inOptimization Vol. 69; no. 2; pp. 269 - 281
Main Authors Yao, Yonghong, Postolache, Mihai, Zhu, Zhichuan
Format Journal Article
LanguageEnglish
Published Philadelphia Taylor & Francis 01.02.2020
Taylor & Francis LLC
Subjects
Algorithms
Feasibility
gradient method
iterative algorithm
Iterative algorithms
Multiple-sets split feasibility problem
projection
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Abstract In this paper, we present two new iterative algorithms for approximating a solution of the multiple-sets split feasibility problem. The suggested algorithms are based on the gradient method with selection technique. Weak and strong convergence theorems are demonstrated.
AbstractList In this paper, we present two new iterative algorithms for approximating a solution of the multiple-sets split feasibility problem. The suggested algorithms are based on the gradient method with selection technique. Weak and strong convergence theorems are demonstrated.
Author Postolache, Mihai
Zhu, Zhichuan
Yao, Yonghong
Author_xml – sequence: 1
  givenname: Yonghong
  surname: Yao
  fullname: Yao, Yonghong
  organization: School of Mathematics and Information Science, North Minzu University
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  givenname: Mihai
  surname: Postolache
  fullname: Postolache, Mihai
  email: emscolar@yahoo.com
  organization: Department of Mathematics and Informatics, University "Politehnica" of Bucharest
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  givenname: Zhichuan
  surname: Zhu
  fullname: Zhu, Zhichuan
  organization: School of Economics, Liaoning University
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SubjectTerms Algorithms
Feasibility
gradient method
iterative algorithm
Iterative algorithms
Multiple-sets split feasibility problem
projection
Title Gradient methods with selection technique for the multiple-sets split feasibility problem
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