A parallel Tseng’s splitting method for solving common variational inclusion applied to signal recovery problems

Abstract In this work we propose an accelerated algorithm that combines various techniques, such as inertial proximal algorithms, Tseng’s splitting algorithm, and more, for solving the common variational inclusion problem in real Hilbert spaces. We establish a strong convergence theorem of the algor...

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Autores principales:	Raweerote Suparatulatorn, Watcharaporn Cholamjiak, Aviv Gibali, Thanasak Mouktonglang
Formato:	article
Lenguaje:	EN
Publicado:	SpringerOpen 2021
Materias:	Common variational inclusion problem Inertial proximal algorithm Tseng’s splitting algorithm Compressed sensing Communications technology Information and communication technology Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/3a9b46c3bd1d4d73b76d142e44854712
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spelling	oai:doaj.org-article:3a9b46c3bd1d4d73b76d142e448547122021-11-14T12:10:27ZA parallel Tseng’s splitting method for solving common variational inclusion applied to signal recovery problems10.1186/s13662-021-03647-81687-1847https://doaj.org/article/3a9b46c3bd1d4d73b76d142e448547122021-11-01T00:00:00Zhttps://doi.org/10.1186/s13662-021-03647-8https://doaj.org/toc/1687-1847Abstract In this work we propose an accelerated algorithm that combines various techniques, such as inertial proximal algorithms, Tseng’s splitting algorithm, and more, for solving the common variational inclusion problem in real Hilbert spaces. We establish a strong convergence theorem of the algorithm under standard and suitable assumptions and illustrate the applicability and advantages of the new scheme for signal recovering problem arising in compressed sensing.Raweerote SuparatulatornWatcharaporn CholamjiakAviv GibaliThanasak MouktonglangSpringerOpenarticleCommon variational inclusion problemInertial proximal algorithmTseng’s splitting algorithmCompressed sensingCommunications technologyInformation and communication technologyMathematicsQA1-939ENAdvances in Difference Equations, Vol 2021, Iss 1, Pp 1-19 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Common variational inclusion problem Inertial proximal algorithm Tseng’s splitting algorithm Compressed sensing Communications technology Information and communication technology Mathematics QA1-939
spellingShingle	Common variational inclusion problem Inertial proximal algorithm Tseng’s splitting algorithm Compressed sensing Communications technology Information and communication technology Mathematics QA1-939 Raweerote Suparatulatorn Watcharaporn Cholamjiak Aviv Gibali Thanasak Mouktonglang A parallel Tseng’s splitting method for solving common variational inclusion applied to signal recovery problems
description	Abstract In this work we propose an accelerated algorithm that combines various techniques, such as inertial proximal algorithms, Tseng’s splitting algorithm, and more, for solving the common variational inclusion problem in real Hilbert spaces. We establish a strong convergence theorem of the algorithm under standard and suitable assumptions and illustrate the applicability and advantages of the new scheme for signal recovering problem arising in compressed sensing.
format	article
author	Raweerote Suparatulatorn Watcharaporn Cholamjiak Aviv Gibali Thanasak Mouktonglang
author_facet	Raweerote Suparatulatorn Watcharaporn Cholamjiak Aviv Gibali Thanasak Mouktonglang
author_sort	Raweerote Suparatulatorn
title	A parallel Tseng’s splitting method for solving common variational inclusion applied to signal recovery problems
title_short	A parallel Tseng’s splitting method for solving common variational inclusion applied to signal recovery problems
title_full	A parallel Tseng’s splitting method for solving common variational inclusion applied to signal recovery problems
title_fullStr	A parallel Tseng’s splitting method for solving common variational inclusion applied to signal recovery problems
title_full_unstemmed	A parallel Tseng’s splitting method for solving common variational inclusion applied to signal recovery problems
title_sort	parallel tseng’s splitting method for solving common variational inclusion applied to signal recovery problems
publisher	SpringerOpen
publishDate	2021
url	https://doaj.org/article/3a9b46c3bd1d4d73b76d142e44854712
work_keys_str_mv	AT raweerotesuparatulatorn aparalleltsengssplittingmethodforsolvingcommonvariationalinclusionappliedtosignalrecoveryproblems AT watcharaporncholamjiak aparalleltsengssplittingmethodforsolvingcommonvariationalinclusionappliedtosignalrecoveryproblems AT avivgibali aparalleltsengssplittingmethodforsolvingcommonvariationalinclusionappliedtosignalrecoveryproblems AT thanasakmouktonglang aparalleltsengssplittingmethodforsolvingcommonvariationalinclusionappliedtosignalrecoveryproblems AT raweerotesuparatulatorn paralleltsengssplittingmethodforsolvingcommonvariationalinclusionappliedtosignalrecoveryproblems AT watcharaporncholamjiak paralleltsengssplittingmethodforsolvingcommonvariationalinclusionappliedtosignalrecoveryproblems AT avivgibali paralleltsengssplittingmethodforsolvingcommonvariationalinclusionappliedtosignalrecoveryproblems AT thanasakmouktonglang paralleltsengssplittingmethodforsolvingcommonvariationalinclusionappliedtosignalrecoveryproblems
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A parallel Tseng’s splitting method for solving common variational inclusion applied to signal recovery problems

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