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

• Published in: Optimization Vol. 69; no. 2; pp. 269 - 281
• Main Authors: Yao, Yonghong, Postolache, Mihai, Zhu, Zhichuan
• Format: Journal Article
• Language: English
• 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

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.