An accelerated hybrid projection method with a self-adaptive step-size
sequence for solving split common fixed point problems
- Zheng Zhou,
- Bing Tan,
- Songxiao Li
Bing Tan
University of Electronic Science and Technology of China
Author ProfileSongxiao Li
University of Electronic Science and Technology of China
Author ProfileAbstract
This paper attempts to focus on the split common fixed point problem for
demicontractive mappings. We give an accelerated hybrid projection
algorithm which combines the hybrid projection method and the inertial
technique. The strong convergence theorems of this algorithm are
obtained under mild conditions by a self-adaptive step-size sequence,
which does not need prior knowledge of operator norms. Some numerical
experiments in infinite Hilbert space are provided to illustrate the
reliability and robustness of the algorithm and also to compare it with
existing ones.24 Apr 2020Submitted to Mathematical Methods in the Applied Sciences 25 Apr 2020Submission Checks Completed
25 Apr 2020Assigned to Editor
25 Apr 2020Reviewer(s) Assigned
03 Sep 2020Review(s) Completed, Editorial Evaluation Pending
21 Sep 2020Editorial Decision: Revise Major
08 Oct 20201st Revision Received
09 Oct 2020Submission Checks Completed
09 Oct 2020Assigned to Editor
09 Oct 2020Reviewer(s) Assigned
15 Jan 2021Review(s) Completed, Editorial Evaluation Pending
18 Jan 2021Editorial Decision: Accept