An alternating inertial forward-backward-forward algorithm for solving monotone inclusion problem and its applications

Authors : Ebru Altıparmak

Pages : 654-666

Doi:10.25092/baunfbed.1549042

View : 37 | Download : 43

Publication Date : 2025-07-15

Article Type : Research Paper

Abstract :We present an alternating inertial forward-backward-forward algorithm designed to find the zeros of the sum of a maximally monotone operator and a single-valued monotone operator that is also Lipschitz continuous. This study aims to extend Tseng’s forward-backward-forward algorithm by incorporating alternating inertial effects. We then apply our enhanced algorithm to address convex minimization problems. Key topics include the monotone inclusion problem, forward-backward-forward algorithm, the alternating inertial method, and convex minimization problems. Lastly, we explore the application of our proposed approach in image restoration, emphasizing its effectiveness and adaptability.
Keywords : Monoton Kapsama Problemi, İleri-geri-ileri algoritması, Alternatif Atalet Metot, Konveks minimizasyon problemi, görüntü iyileştirme problemi

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