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On multi-inertial extrapolations and forward-backward-forward algorithms.
- Source :
-
Carpathian Journal of Mathematics . 2024, Vol. 40 Issue 2, p293-305. 13p. - Publication Year :
- 2024
-
Abstract
- In this work, we propose inclusion problems based on a novel class of forward-backwardforward algorithms. Our approach incorporates multi-inertial extrapolations and utilizes a self-adaptive technique to eliminate the need for explicitly selecting Lipschitz assumptions to enhance the speed convergence of the algorithm. We establish a weak convergence theorem under suitable assumptions. Furthermore, we conduct numerical tests on image deblurring as a practical application. The experimental results demonstrate that our algorithm surpasses some existing methods in the literature, which shows its superior performance and effectiveness. [ABSTRACT FROM AUTHOR]
- Subjects :
- *ALGORITHMS
*SPEED
Subjects
Details
- Language :
- English
- ISSN :
- 15842851
- Volume :
- 40
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Carpathian Journal of Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 176288742
- Full Text :
- https://doi.org/10.37193/CJM.2024.02.05