{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,22]],"date-time":"2026-06-22T22:31:07Z","timestamp":1782167467183,"version":"3.54.5"},"reference-count":35,"publisher":"Informa UK Limited","issue":"1","license":[{"start":{"date-parts":[[2019,5,27]],"date-time":"2019-05-27T00:00:00Z","timestamp":1558915200000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100000266","name":"EPSRC","doi-asserted-by":"publisher","award":["EP\/P022553\/1"],"award-info":[{"award-number":["EP\/P022553\/1"]}],"id":[{"id":"10.13039\/501100000266","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["www.tandfonline.com"],"crossmark-restriction":true},"short-container-title":["Optimization Methods and Software"],"published-print":{"date-parts":[[2021,1,2]]},"DOI":"10.1080\/10556788.2019.1619729","type":"journal-article","created":{"date-parts":[[2019,5,27]],"date-time":"2019-05-27T11:48:52Z","timestamp":1558957732000},"page":"1-19","update-policy":"https:\/\/doi.org\/10.1080\/tandf_crossmark_01","source":"Crossref","is-referenced-by-count":44,"title":["An inertial extrapolation method for convex simple bilevel optimization"],"prefix":"10.1080","volume":"36","author":[{"given":"Yekini","family":"Shehu","sequence":"first","affiliation":[{"name":"Department of Mathematics, University of Nigeria, Nsukka, Nigeria"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-1474-994X","authenticated-orcid":false,"given":"Phan Tu","family":"Vuong","sequence":"additional","affiliation":[{"name":"Faculty of Mathematics, University of Vienna, Vienna, Austria"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Alain","family":"Zemkoho","sequence":"additional","affiliation":[{"name":"School of Mathematics, University of Southampton, Southampton, UK"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"301","published-online":{"date-parts":[[2019,5,27]]},"reference":[{"key":"CIT0001","doi-asserted-by":"publisher","DOI":"10.1137\/130910294"},{"key":"CIT0002","doi-asserted-by":"publisher","DOI":"10.1093\/imanum\/2.2.241"},{"key":"CIT0003","doi-asserted-by":"publisher","DOI":"10.1007\/BF03007664"},{"key":"CIT0004","doi-asserted-by":"publisher","DOI":"10.1115\/1.3424708"},{"key":"CIT0005","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4419-9467-7"},{"key":"CIT0006","doi-asserted-by":"publisher","DOI":"10.1137\/080716542"},{"key":"CIT0007","doi-asserted-by":"publisher","DOI":"10.1007\/s10107-013-0708-2"},{"key":"CIT0008","first-page":"29","volume":"1","author":"Bot R.I.","year":"2016","journal-title":"Minimax Theory Appl."},{"key":"CIT0009","unstructured":"R.I. Bot and D.K. Nguyen ,A forward-backward penalty scheme with inertial effects for montone inclusions. Applications to convex bilevel programming, 2018. Available at http:\/\/www.optimization-online.org\/DB_HTML\/2018\/01\/6416.html ."},{"key":"CIT0010","doi-asserted-by":"publisher","DOI":"10.1088\/0266-5611\/20\/1\/006"},{"key":"CIT0011","doi-asserted-by":"publisher","DOI":"10.1137\/S105262340343467X"},{"key":"CIT0012","volume-title":"Foundations of Bilevel Programming","author":"Dempe S.","year":"2002"},{"key":"CIT0013","doi-asserted-by":"crossref","unstructured":"S. Dempe , N. Dinh , and J. Dutta ,Optimality conditions for a simple convex bilevel programming problem, inVariational Analysis and Generalized Differentiation in Optimization and Control, R.S. Burachik and J.C. Yao, eds., Springer, New York, 2010, pp. 149\u2013161.","DOI":"10.1007\/978-1-4419-0437-9_7"},{"key":"CIT0014","unstructured":"S. Dempe , N. Dinh , J. Dutta , and T. Pandit ,Simple bilevel programming and extensions: Theory and algorithms, Preprint, Indian Institute of Technology, Kanpur, India, 2018."},{"key":"CIT0015","doi-asserted-by":"publisher","DOI":"10.1007\/s10957-010-9744-8"},{"key":"CIT0016","doi-asserted-by":"publisher","DOI":"10.1007\/s10107-008-0259-0"},{"key":"CIT0017","doi-asserted-by":"publisher","DOI":"10.1080\/02331934.2017.1394296"},{"key":"CIT0018","doi-asserted-by":"publisher","DOI":"10.1007\/BF01442401"},{"key":"CIT0019","unstructured":"J. F\u00fcl\u00f6p ,On the equivalency between a linear bilevel programming problem and linear optimization over the efficient set, Tech. Rep. Hungarian Academy of Science, 1993."},{"key":"CIT0020","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511526152"},{"key":"CIT0021","doi-asserted-by":"publisher","DOI":"10.1137\/060675319"},{"key":"CIT0022","doi-asserted-by":"publisher","DOI":"10.1137\/0317052"},{"key":"CIT0023","unstructured":"Y. Malitsky ,Chambolle-Pock and Tseng's methods: Relationship and extension to the bilevel optimization, 2017. arXiv:1706.02602."},{"key":"CIT0025","doi-asserted-by":"publisher","DOI":"10.1007\/s10851-015-0565-0"},{"key":"CIT0026","doi-asserted-by":"publisher","DOI":"10.1145\/321105.321114"},{"key":"CIT0027","doi-asserted-by":"publisher","DOI":"10.1007\/BF01584543"},{"key":"CIT0028","doi-asserted-by":"publisher","DOI":"10.1007\/s10957-011-9943-y"},{"key":"CIT0029","doi-asserted-by":"publisher","DOI":"10.1137\/16M105592X"},{"key":"CIT0030","first-page":"227","volume":"4","author":"Solodov M.V.","year":"2007","journal-title":"J. Convex Anal."},{"key":"CIT0031","doi-asserted-by":"crossref","first-page":"267","DOI":"10.1111\/j.2517-6161.1996.tb02080.x","volume":"58","author":"Tibshirami R.","year":"1996","journal-title":"J. Roy. Statist. Soc. Ser. B"},{"key":"CIT0032","volume-title":"Solutions of Ill-Posed Problems","author":"Tikhonov A.N.","year":"1977"},{"issue":"2","key":"CIT0033","first-page":"1","volume":"66","author":"Xu H.K.","year":"2002","journal-title":"J. London Math. Soc."},{"key":"CIT0034","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmaa.2004.04.059"},{"key":"CIT0035","doi-asserted-by":"publisher","DOI":"10.1023\/A:1013875600711"},{"key":"CIT0036","doi-asserted-by":"publisher","DOI":"10.1080\/02331939508844060"}],"container-title":["Optimization Methods and Software"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/tandfonline.com\/doi\/pdf\/10.1080\/10556788.2019.1619729","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.tandfonline.com\/doi\/pdf\/10.1080\/10556788.2019.1619729","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,7,18]],"date-time":"2024-07-18T18:08:29Z","timestamp":1721326109000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.tandfonline.com\/doi\/full\/10.1080\/10556788.2019.1619729"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,5,27]]},"references-count":35,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2021,1,2]]}},"alternative-id":["10.1080\/10556788.2019.1619729"],"URL":"https:\/\/doi.org\/10.1080\/10556788.2019.1619729","relation":{},"ISSN":["1055-6788","1029-4937"],"issn-type":[{"value":"1055-6788","type":"print"},{"value":"1029-4937","type":"electronic"}],"subject":[],"published":{"date-parts":[[2019,5,27]]},"assertion":[{"value":"The publishing and review policy for this title is described in its Aims & Scope.","order":1,"name":"peerreview_statement","label":"Peer Review Statement"},{"value":"http:\/\/www.tandfonline.com\/action\/journalInformation?show=aimsScope&journalCode=goms20","URL":"http:\/\/www.tandfonline.com\/action\/journalInformation?show=aimsScope&journalCode=goms20","order":2,"name":"aims_and_scope_url","label":"Aim & Scope"},{"value":"2018-09-17","order":0,"name":"received","label":"Received","group":{"name":"publication_history","label":"Publication History"}},{"value":"2019-05-10","order":2,"name":"accepted","label":"Accepted","group":{"name":"publication_history","label":"Publication History"}},{"value":"2019-05-27","order":3,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}]}}