Two-step inertial Bregman projection iterative algorithm for solving the split feasibility problem
Applicable Nonlinear Analysis, Volume 1, Issue 1, June 2024, Pages: 64–78
YAXIN HAO
College of Science, Civil Aviation University of China, Tianjin 300300, China
JING ZHAO
College of Science, Civil Aviation University of China, Tianjin 300300, China
Abstract
In this paper, we propose a new two-step inertial Bregman projection iterative algorithm by Halphern iterative method to solve the split feasibility problem in real Hilbert spaces. We give two selection strategies of step-sizes and prove that the proposed iterative sequence converges strongly to solution of the split feasibility problem. Our results extend and improve the corresponding results.
Cite this Article as
Yaxin Hao and Jing Zhao, Two-step inertial Bregman projection iterative algorithm for solving the split feasibility problem, Applicable Nonlinear Analysis, 1 (2024), 64–78