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Article: An efficient simultaneous method for the constrained multiple-sets split feasibility problem

TitleAn efficient simultaneous method for the constrained multiple-sets split feasibility problem
Authors
KeywordsMultiple-sets split feasibility problem
Simultaneous method
Convex feasibility problem
Issue Date2012
Citation
Computational Optimization and Applications, 2012, v. 52, n. 3, p. 825-843 How to Cite?
AbstractThe multiple-sets split feasibility problem (MSFP) captures various applications arising in many areas. Recently, by introducing a function measuring the proximity to the involved sets, Censor et al. proposed to solve the MSFP via minimizing the proximity function, and they developed a class of simultaneous methods to solve the resulting constrained optimization model numerically. In this paper, by combining the ideas of the proximity function and the operator splitting methods, we propose an efficient simultaneous method for solving the constrained MSFP. The efficiency of the new method is illustrated by some numerical experiments. © Springer Science+Business Media, LLC 2011.
Persistent Identifierhttp://hdl.handle.net/10722/251001
ISSN
2023 Impact Factor: 1.6
2023 SCImago Journal Rankings: 1.322
ISI Accession Number ID

 

DC FieldValueLanguage
dc.contributor.authorZhang, Wenxing-
dc.contributor.authorHan, Deren-
dc.contributor.authorYuan, Xiaoming-
dc.date.accessioned2018-02-01T01:54:18Z-
dc.date.available2018-02-01T01:54:18Z-
dc.date.issued2012-
dc.identifier.citationComputational Optimization and Applications, 2012, v. 52, n. 3, p. 825-843-
dc.identifier.issn0926-6003-
dc.identifier.urihttp://hdl.handle.net/10722/251001-
dc.description.abstractThe multiple-sets split feasibility problem (MSFP) captures various applications arising in many areas. Recently, by introducing a function measuring the proximity to the involved sets, Censor et al. proposed to solve the MSFP via minimizing the proximity function, and they developed a class of simultaneous methods to solve the resulting constrained optimization model numerically. In this paper, by combining the ideas of the proximity function and the operator splitting methods, we propose an efficient simultaneous method for solving the constrained MSFP. The efficiency of the new method is illustrated by some numerical experiments. © Springer Science+Business Media, LLC 2011.-
dc.languageeng-
dc.relation.ispartofComputational Optimization and Applications-
dc.subjectMultiple-sets split feasibility problem-
dc.subjectSimultaneous method-
dc.subjectConvex feasibility problem-
dc.titleAn efficient simultaneous method for the constrained multiple-sets split feasibility problem-
dc.typeArticle-
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1007/s10589-011-9429-8-
dc.identifier.scopuseid_2-s2.0-84865253650-
dc.identifier.volume52-
dc.identifier.issue3-
dc.identifier.spage825-
dc.identifier.epage843-
dc.identifier.eissn1573-2894-
dc.identifier.isiWOS:000306836900011-
dc.identifier.issnl0926-6003-

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