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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
Zheng Zhou
University of Electronic Science and Technology of China
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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

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.

Peer review status:IN REVISION

24 Apr 2020Submitted to Mathematical Methods in the Applied Sciences
25 Apr 2020Assigned to Editor
25 Apr 2020Submission Checks Completed
25 Apr 2020Reviewer(s) Assigned
03 Sep 2020Review(s) Completed, Editorial Evaluation Pending
21 Sep 2020Editorial Decision: Revise Major