An Inertial Accelerated Algorithm for Solving Split Feasibility Problem with Multiple Output Sets

The paper proposes an inertial accelerated algorithm for solving split feasibility problem with multiple output sets. To improve the feasibility, the algorithm involves computing of projections onto relaxed sets (half spaces) instead of computing onto the closed convex sets, and it does not require...

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Autores principales:	Huijuan Jia, Shufen Liu, Yazheng Dang
Formato:	article
Lenguaje:	EN
Publicado:	Hindawi Limited 2021
Materias:	Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/115e672229be40b891a60191d9d02a2c
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spelling	oai:doaj.org-article:115e672229be40b891a60191d9d02a2c2021-11-15T01:19:19ZAn Inertial Accelerated Algorithm for Solving Split Feasibility Problem with Multiple Output Sets2314-478510.1155/2021/6252984https://doaj.org/article/115e672229be40b891a60191d9d02a2c2021-01-01T00:00:00Zhttp://dx.doi.org/10.1155/2021/6252984https://doaj.org/toc/2314-4785The paper proposes an inertial accelerated algorithm for solving split feasibility problem with multiple output sets. To improve the feasibility, the algorithm involves computing of projections onto relaxed sets (half spaces) instead of computing onto the closed convex sets, and it does not require calculating matrix inverse. To accelerate the convergence, the algorithm adopts self-adaptive rules and incorporates inertial technique. The strong convergence is shown under some suitable conditions. In addition, some newly derived results are presented for solving the split feasibility problem and split feasibility problem with multiple output sets. Finally, numerical experiments illustrate that the algorithm converges more quickly than some existing algorithms. Our results extend and improve some methods in the literature.Huijuan JiaShufen LiuYazheng DangHindawi LimitedarticleMathematicsQA1-939ENJournal of Mathematics, Vol 2021 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Mathematics QA1-939
spellingShingle	Mathematics QA1-939 Huijuan Jia Shufen Liu Yazheng Dang An Inertial Accelerated Algorithm for Solving Split Feasibility Problem with Multiple Output Sets
description	The paper proposes an inertial accelerated algorithm for solving split feasibility problem with multiple output sets. To improve the feasibility, the algorithm involves computing of projections onto relaxed sets (half spaces) instead of computing onto the closed convex sets, and it does not require calculating matrix inverse. To accelerate the convergence, the algorithm adopts self-adaptive rules and incorporates inertial technique. The strong convergence is shown under some suitable conditions. In addition, some newly derived results are presented for solving the split feasibility problem and split feasibility problem with multiple output sets. Finally, numerical experiments illustrate that the algorithm converges more quickly than some existing algorithms. Our results extend and improve some methods in the literature.
format	article
author	Huijuan Jia Shufen Liu Yazheng Dang
author_facet	Huijuan Jia Shufen Liu Yazheng Dang
author_sort	Huijuan Jia
title	An Inertial Accelerated Algorithm for Solving Split Feasibility Problem with Multiple Output Sets
title_short	An Inertial Accelerated Algorithm for Solving Split Feasibility Problem with Multiple Output Sets
title_full	An Inertial Accelerated Algorithm for Solving Split Feasibility Problem with Multiple Output Sets
title_fullStr	An Inertial Accelerated Algorithm for Solving Split Feasibility Problem with Multiple Output Sets
title_full_unstemmed	An Inertial Accelerated Algorithm for Solving Split Feasibility Problem with Multiple Output Sets
title_sort	inertial accelerated algorithm for solving split feasibility problem with multiple output sets
publisher	Hindawi Limited
publishDate	2021
url	https://doaj.org/article/115e672229be40b891a60191d9d02a2c
work_keys_str_mv	AT huijuanjia aninertialacceleratedalgorithmforsolvingsplitfeasibilityproblemwithmultipleoutputsets AT shufenliu aninertialacceleratedalgorithmforsolvingsplitfeasibilityproblemwithmultipleoutputsets AT yazhengdang aninertialacceleratedalgorithmforsolvingsplitfeasibilityproblemwithmultipleoutputsets AT huijuanjia inertialacceleratedalgorithmforsolvingsplitfeasibilityproblemwithmultipleoutputsets AT shufenliu inertialacceleratedalgorithmforsolvingsplitfeasibilityproblemwithmultipleoutputsets AT yazhengdang inertialacceleratedalgorithmforsolvingsplitfeasibilityproblemwithmultipleoutputsets
_version_	1718428966166986752

An Inertial Accelerated Algorithm for Solving Split Feasibility Problem with Multiple Output Sets

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