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Inertial algorithms with adaptive stepsizes for split variational inclusion problems and their applications to signal recovery problem
  • Zheng Zhou,
  • Bing Tan,
  • Songxiao Li
Zheng Zhou
University of Electronic Science and Technology of China

Corresponding Author:zhouzheng2272@163.com

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Bing Tan
University of Electronic Science and Technology of China
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Songxiao Li
University of Electronic Science and Technology of China
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Abstract

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