@prefix ns1: .
@prefix ns2: .
@prefix rdf: .
@prefix rdfs: .
@prefix xml: .
@prefix xsd: .
a ns1:ScholarlyArticle ;
ns1:about ,
;
ns1:author ( [ a ns1:Person ;
ns1:affiliation ;
ns1:familyName "Yatakoat" ;
ns1:givenName "Pornsak" ] ) ;
ns1:citation ,
;
ns1:datePublished "2022-03-17" ;
ns1:datePublishedReg "2022-03-17" ;
ns1:description "In this paper, we introduce and study a new accelerated algorithm based on forwardâ€“backward and SP-algorithm for solving a convex minimization problem of the sum of two convex and lower semicontinuous functions in a Hilbert space. Under some suitable control conditions, a weak convergence theorem of the proposed algorithm based on a fixed point is established. Moreover, we choose the stepsize of our algorithm which is independent on the Lipschitz constant of the gradient of the objective function by using a linesearch technique, and then a weak convergence result of the proposed algorithm is analyzed. As applications, we apply the proposed algorithm for solving the image restoration problems and compare its convergence behavior with other well-known algorithms in the literature. By our experiment, the algorithms have a higher efficiency than the others." ;
ns1:genre "article" ;
ns1:isAccessibleForFree true ;
ns1:isPartOf [ a ns1:PublicationIssue ;
ns1:issueNumber "1" ],
[ a ns1:PublicationVolume ;
ns1:volumeNumber "2022" ],
;
ns1:keywords "Hilbert space",
"Lipschitz",
"SP algorithm",
"accelerated algorithm",
"accelerated optimization algorithms",
"algorithm",
"applications",
"behavior",
"conditions",
"control condition",
"convergence behavior",
"convergence results",
"convergence theorem",
"convex",
"convex minimization problem",
"efficiency",
"experiments",
"function",
"gradient",
"high efficiency",
"image restoration problems",
"linesearch technique",
"literature",
"lower semicontinuous functions",
"minimization problem",
"new accelerated algorithm",
"objective function",
"optimization algorithm",
"paper",
"point",
"problem",
"restoration problem",
"results",
"semicontinuous functions",
"space",
"stepsize",
"suitable control conditions",
"sum",
"technique",
"theorem",
"weak convergence results",
"weak convergence theorem" ;
ns1:name "On some accelerated optimization algorithms based on fixed point and linesearch techniques for convex minimization problems with applications" ;
ns1:pagination "25" ;
ns1:productId [ a ns1:PropertyValue ;
ns1:name "dimensions_id" ;
ns1:value "pub.1146355840" ],
[ a ns1:PropertyValue ;
ns1:name "doi" ;
ns1:value "10.1186/s13662-022-03698-5" ] ;
ns1:sameAs ,
;
ns1:sdDatePublished "2022-10-01T06:50" ;
ns1:sdLicense "https://scigraph.springernature.com/explorer/license/" ;
ns1:sdPublisher [ a ns1:Organization ;
ns1:name "Springer Nature - SN SciGraph project" ] ;
ns1:url "https://doi.org/10.1186/s13662-022-03698-5" ;
ns2:license ;
ns2:sdDataset "articles" .
a ns1:DefinedTerm ;
ns1:inDefinedTermSet ;
ns1:name "Mathematical Sciences" .
a ns1:DefinedTerm ;
ns1:inDefinedTermSet ;
ns1:name "Pure Mathematics" .
a ns1:Periodical ;
ns1:issn "1687-1839",
"2731-4235" ;
ns1:name "Advances in Continuous and Discrete Models" ;
ns1:publisher "Springer Nature" .
a ns1:Person ;
ns1:affiliation ;
ns1:familyName "Suantai" ;
ns1:givenName "Suthep" ;
ns1:sameAs .
a ns1:Person ;
ns1:affiliation ;
ns1:familyName "Hanjing" ;
ns1:givenName "Adisak" ;
ns1:sameAs .
a ns1:CreativeWork ;
ns1:sameAs ,
.
a ns1:CreativeWork ;
ns1:sameAs ,
.
a ns1:Organization ;
ns1:alternateName "Department of Science and Mathematics, Rajamangala University of Technology Isan Surin Campus, Surin, Thailand" ;
ns1:name "Department of Science and Mathematics, Rajamangala University of Technology Isan Surin Campus, Surin, Thailand" .
a ns1:Organization ;
ns1:alternateName "Department of Mathematics, Faculty of Science, Nakhon Phanom University, Nakhon Phanom, Thailand" ;
ns1:name "Department of Mathematics, Faculty of Science, Nakhon Phanom University, Nakhon Phanom, Thailand" .
a ns1:Organization ;
ns1:alternateName "Research Center in Mathematics and Applied Mathematics, Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai, Thailand" ;
ns1:name "Data Science Research Center, Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai, Thailand",
"Research Center in Mathematics and Applied Mathematics, Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai, Thailand" .