March 28, 2024

A Variable Metric Inertial Forward-Reflected-Backward Method for Solving Monotone Inclusions

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Abstract

We propose a new method for finding a zero point of a sum involving a Lipschitzian monotone operator and a maximally monotone operator, both acting on a real Hilbert space. The proposed method aims to extend forward-reflected-backward method by using inertial effect and variable metric. The weak convergence of the proposed method is proved under standard conditions.

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Cite This Study

Nguyen Van Dung (Thu,) studied this question.

synapsesocial.com/papers/68e720ddb6db64358769ae86 https://doi.org/https://doi.org/10.18173/2354-1059.2024-0001

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1A Relaxed Inertial Method for Solving Monotone Inclusion Problems with Applications2024
2Inertial Forward–Backward–Forward Algorithm with Moving Point Projection for Monotone Inclusions and Image Restoration2026
3The forward-backward-forward algorithm with extrapolation from the past and penalty scheme for solving monotone inclusion problems and applications2024 · 1 citations
4A forward-reflected-anchored-backward splitting algorithm with double inertial effects for solving non-monotone inclusion problems2025
5Modified proximal gradient methods involving double inertial extrapolations for monotone inclusion2024 · 7 citations

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