A new relaxed method for the split feasibility problem in Hilbert spaces

• Published in: Optimization Vol. 73; no. 5; pp. 1417 - 1432
• Main Authors: Yu, Hai, Wang, Fenghui
• Format: Journal Article
• Language: English
• Published: Philadelphia Taylor & Francis 03.05.2024; Taylor & Francis LLC
• Subjects: Algorithms; CQ algorithm; Feasibility; Hilbert space; projection; relaxed CQ algorithm; Split feasibility problem

In this paper, we introduce a new relaxed method for solving the split feasibility problem in Hilbert spaces. In our method, the projection to the halfspace is replaced by the one to the intersection of two halfspaces. We give convergence of the sequence generated by our method under some suitable a...