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Research Article | Open Access

A modified inertial proximal gradient method for minimization problems and applications

Suparat Kesornprom, Prasit Cholamjiak( )
School of Science, University of Phayao, Phayao, Thailand
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Abstract

In this paper, the aim is to design a new proximal gradient algorithm by using the inertial technique with adaptive stepsize for solving convex minimization problems and prove convergence of the iterates under some suitable assumptions. Some numerical implementations of image deblurring are performed to show the efficiency of the proposed methods.

Keywords

convex minimization problemforward-backward methodadaptive stepsizeinertial methodweak convergence
CLC number: 65K05, 90C25, 90C30

References

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AIMS Mathematics
Volume 7 Issue 5,
May 2022
Pages 8147-8161
DOI: 10.3934/math.2022453

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Cite this article:
Kesornprom S, Cholamjiak P. A modified inertial proximal gradient method for minimization problems and applications. AIMS Mathematics, 2022, 7(5): 8147-8161. https://doi.org/10.3934/math.2022453

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Received: 17 November 2021
Revised: 20 January 2022
Accepted: 08 February 2022
Published: 15 May 2022
©2022 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)