Three-step projected forwardÐbackward algorithms for constrained minimization problem
Date
2025
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Article
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Springer Nature
Journal Title
Three-step projected forwardÐbackward algorithms for constrained minimization problem
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Abstract
We design new projective forwardÐbackward algorithms for constrained minimization problems. We then discuss its weak convergence via a new linesearch that the hypothesis on the Lipschitz constant of the gradient of functions is avoided. We provide its applications to solve image deblurring and image inpainting. Finally, we discuss the optimal selection of parameters that are proposed in algorithms in terms of PSNR and SSIM. It reveals that our new algorithm outperforms some recent methods introduced in the literature. © The Author(s) under exclusive licence to Korean Society for Informatics and Computational Applied Mathematics 2024.
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Journal of Applied Mathematics and Computing