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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Vydáno v:	AIMS mathematics Ročník 7; číslo 5; s. 8147 - 8161
Hlavní autoři:	Kesornprom, Suparat, Cholamjiak, Prasit
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	AIMS Press 01.01.2022
Témata:	adaptive stepsize convex minimization problem forward-backward method inertial method weak convergence
ISSN:	2473-6988, 2473-6988
On-line přístup:	Získat plný text
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Shrnutí:	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