A modified inertial proximal gradient method for minimization problems and applications

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 performe...

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Bibliographic Details
Published in:	AIMS mathematics Vol. 7; no. 5; pp. 8147 - 8161
Main Authors:	Kesornprom, Suparat, Cholamjiak, Prasit
Format:	Journal Article
Language:	English
Published:	AIMS Press 01.01.2022
Subjects:	adaptive stepsize convex minimization problem forward-backward method inertial method weak convergence
ISSN:	2473-6988, 2473-6988
Online Access:	Get full text
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Summary:	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.
ISSN:	2473-6988 2473-6988
DOI:	10.3934/math.2022453