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Volume 5, Issue 3, 1 December 2023, Pages 439-450
Abstract. The purpose of this paper is to study the convex minimization problem in real Hilbert spaces. We introduce a new relaxed forward-backward-forward method by using the inertial technique and the adaptive stepsize. We then provide its convergence theorem under suitable assumptions. Finally, we analyse the proposed method to image inpainting and give comparisons of our method with other methods in the literature.
How to Cite this Article:
S. Kesornprom, P. Cholamjiak, A new relaxed inertial forward-backward-forward method for solving the convex minimization problem with applications to image inpainting, Appl. Set-Valued Anal. Optim. 5 (2023), 439-450.