Inertial algorithms with adaptive stepsizes for split variational
inclusion problems and their applications to signal recovery problem
- 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
With the help of the Meir-Keeler contraction method and the Mann-type
method, two adaptive inertial iterative schemes are introduced for
finding solutions of the split variational inclusion problem in Hilbert
spaces. The strong convergence of the suggested algorithms are
guaranteed by a new stepsize criterion that does not require calculation
of the bounded linear operator norm. Some numerical experiments and
applications in signal recovery problems are given to demonstrate the
efficiency of the proposed algorithms.28 Mar 2022Submitted to Mathematical Methods in the Applied Sciences 29 Mar 2022Submission Checks Completed
29 Mar 2022Assigned to Editor
11 Apr 2022Reviewer(s) Assigned
28 Sep 2022Review(s) Completed, Editorial Evaluation Pending
29 Sep 2022Editorial Decision: Revise Minor
11 Oct 20221st Revision Received
12 Oct 2022Submission Checks Completed
12 Oct 2022Assigned to Editor
12 Oct 2022Review(s) Completed, Editorial Evaluation Pending
21 Oct 2022Reviewer(s) Assigned
10 May 2023Editorial Decision: Accept