An Inertial Forward-backward Splitting Method for Monotone Inclusions

In this work, we propose a splitting method for solving monotone inclusions in Hilbert spaces. Our method is a modification of the forward-backward algorithm by using the inertial effect. The weak convergence of the proposed algorithm is established under standard conditions.

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Publication Details

Journal
VNU Journal of Science Mathematics - Physics
Published
2025-03-25
DOI
https://doi.org/10.25073/2588-1124/vnumap.4900
Primary Topic
Sparse and Compressive Sensing Techniques
Type
article
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article

An Inertial Forward-backward Splitting Method for Monotone Inclusions

Nguyen Van Dung, Hoang Thi Kim Hoa
VNU Journal of Science Mathematics - Physics
Sparse and Compressive Sensing Techniques
article

An Inertial Forward-backward Splitting Method for Monotone Inclusions

Nguyen Van Dung, Hoang Thi Kim Hoa
article en

Abstract

In this work, we propose a splitting method for solving monotone inclusions in Hilbert spaces. Our method is a modification of the forward-backward algorithm by using the inertial effect. The weak convergence of the proposed algorithm is established under standard conditions.

VNU Journal of Science Mathematics - PhysicsVol. 41(1)
University of Transport and Communications (VN)
Openalex Percentile: Top 93%
Sparse and Compressive Sensing Techniques
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An Inertial Forward-backward Splitting Method for Monotone Inclusions — Nguyen Van Dung, Hoang Thi Kim Hoa · VNU Journal of Science Mathematics - Physics (2025) | TGRS Research Map | TGRS