Browsing by Author "Papatsara Inkrong"
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Item A modified inertial projected forward–backward algorithm for convex optimization problems(Springer-Verlag Italia s.r.l., 2025) Kunrada Kankam; Papatsara Inkrong; Prasit Cholamjiak; P. Cholamjiak; School of Science, University of Phayao, Phayao, 56000, Thailand; email: prasit.ch@up.ac.thThe primary objective of this study is to establish the convergence theorem associated with the modified inertial projected forward–backward algorithm using line search techniques. Many applications in applied sciences can be modeled as constrained convex minimization problems. Our numerical experiments offer practical applications for resolving image deblurring issues. The results of our numerical analysis conclusively indicate that the proposed algorithms exhibit greater efficiency than those previously introduced in the literature. © The Author(s), under exclusive licence to Springer-Verlag Italia S.r.l., part of Springer Nature 2024.Item A VARIANT OF THE PROXIMAL GRADIENT METHOD FOR CONSTRAINED CONVEX MINIMIZATION PROBLEMS(Mathematical Research Press, 2024) Suparat Kesornprom; Kunrada Kankam; Papatsara Inkrong; Nattawut Pholasa; Prasit Cholamjiak; P. Cholamjiak; School of Science, University of Phayao, Phayao, 56000, Thailand; email: prasit.ch@up.ac.thThis paper presents a new variant of the proximal gradient algorithm based on double inertial extrapolation to solve a constrained convex minimization problem in real Hilbert spaces. We discuss its weak convergence, including numerical image and signal recovery experiments to support the main results. Some comparisons with other algorithms are also provided. The experiments demonstrate that our method converges better than the other methods in the literature. ©2024 Journal of Nonlinear Functional Analysis.