ABSTRACT
In this paper, we propose a new projection algorithm to solve the split feasibility problem in Hilbert spaces. This method involves a new strategy that projects the inertial term onto the intersection of the feasible set and a half-space. The strong and weak convergence of the new algorithms under standard assumptions are established. We examine the performance of our method on sparse signal processing and image deblurring problems. The reported numerical results demonstrate the effectiveness of the proposed algorithm.
2020 MATHEMATICS SUBJECT CLASSIFICATION:
Acknowledgments
The authors would like to thank the editor and the reviewers for their constructive suggestions and comments, which greatly improve the manuscript.
Disclosure statement
No potential conflict of interest was reported by the author(s).