An accelerated viscosity forward-backward splitting algorithm with the linesearch process for convex minimization problems

In this paper, we consider and investigate a convex minimization problem of the sum of two convex functions in a Hilbert space. The forward-backward splitting algorithm is one of the popular optimization methods for approximating a minimizer of the function; however, the stepsize of this algorithm d...

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Bibliographic Details
Published in:	Journal of inequalities and applications Vol. 2021; no. 1; pp. 1 - 19
Main Authors:	Suantai, Suthep, Jailoka, Pachara, Hanjing, Adisak
Format:	Journal Article
Language:	English
Published:	Cham Springer International Publishing 27.02.2021 Springer Nature B.V SpringerOpen
Subjects:	Algorithms Analysis Applications of Mathematics Approximation Convex minimization problems Forward-backward splitting Hilbert space Inertial techniques Linesearch Mathematical analysis Mathematics Mathematics and Statistics Optimization Signal reconstruction Splitting Strong convergence Viscosity Viscosity approximation Strong convergence 65K05 90C30 Inertial techniques 90C25 Forward-backward splitting Convex minimization problems Linesearch Viscosity approximation
ISSN:	1029-242X, 1025-5834, 1029-242X
Online Access:	Get full text
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