{"id":"https://openalex.org/W2466751470","doi":"https://doi.org/10.1007/s10957-016-0972-4","title":"Convergence of One-Step Projected Gradient Methods for Variational Inequalities","display_name":"Convergence of One-Step Projected Gradient Methods for Variational Inequalities","publication_year":2016,"publication_date":"2016-07-06","ids":{"openalex":"https://openalex.org/W2466751470","doi":"https://doi.org/10.1007/s10957-016-0972-4","mag":"2466751470"},"language":"en","primary_location":{"id":"doi:10.1007/s10957-016-0972-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10957-016-0972-4","pdf_url":null,"source":{"id":"https://openalex.org/S52430896","display_name":"Journal of Optimization Theory and Applications","issn_l":"0022-3239","issn":["0022-3239","1573-2878"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Optimization Theory and Applications","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5091006322","display_name":"Paul-\u00c9mile Maing\u00e9","orcid":"https://orcid.org/0000-0001-8146-1375"},"institutions":[{"id":"https://openalex.org/I4210155549","display_name":"Laboratoire de Math\u00e9matiques","ror":"https://ror.org/05sd5r855","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I198244214","https://openalex.org/I4210141950","https://openalex.org/I4210155549"]},{"id":"https://openalex.org/I4210102957","display_name":"D\u00e9partement Math\u00e9matiques et Informatique Appliqu\u00e9es","ror":"https://ror.org/011emb038","country_code":"FR","type":"government","lineage":["https://openalex.org/I4210088668","https://openalex.org/I4210102957"]},{"id":"https://openalex.org/I4210135110","display_name":"Centre Hospitalier Universitaire de Martinique","ror":"https://ror.org/0376kfa34","country_code":"MQ","type":"healthcare","lineage":["https://openalex.org/I4210135110"]}],"countries":["FR","MQ"],"is_corresponding":true,"raw_author_name":"P. E. Maing\u00e9","raw_affiliation_strings":["D.S.I., L.A.M.I.A., Universit\u00e9 des antilles, 97233, Martinique, F.W.I., France","Laboratoire de Math\u00e9matiques Informatique et Applications [UR1_1]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"D.S.I., L.A.M.I.A., Universit\u00e9 des antilles, 97233, Martinique, F.W.I., France","institution_ids":["https://openalex.org/I4210135110"]},{"raw_affiliation_string":"Laboratoire de Math\u00e9matiques Informatique et Applications [UR1_1]","institution_ids":["https://openalex.org/I4210102957","https://openalex.org/I4210155549"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5020867639","display_name":"Marie-Line Gobinddass","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"M. L. Gobinddass","raw_affiliation_strings":["UMR Espace-Dev., I.R.D., Universit\u00e9 de Guyane, 97300, Cayenne, France","LAboratoire de REcherche en G\u00e9od\u00e9sie [Paris]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"UMR Espace-Dev., I.R.D., Universit\u00e9 de Guyane, 97300, Cayenne, France","institution_ids":[]},{"raw_affiliation_string":"LAboratoire de REcherche en G\u00e9od\u00e9sie [Paris]","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5091006322"],"corresponding_institution_ids":["https://openalex.org/I4210102957","https://openalex.org/I4210135110","https://openalex.org/I4210155549"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":15.1405,"has_fulltext":false,"cited_by_count":109,"citation_normalized_percentile":{"value":0.99056992,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":100},"biblio":{"volume":"171","issue":"1","first_page":"146","last_page":"168"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9973000288009644,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11205","display_name":"Numerical methods in inverse problems","score":0.9898999929428101,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/variational-inequality","display_name":"Variational inequality","score":0.8394659757614136},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8032112121582031},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.7995645999908447},{"id":"https://openalex.org/keywords/monotone-polygon","display_name":"Monotone polygon","score":0.7070603370666504},{"id":"https://openalex.org/keywords/lipschitz-continuity","display_name":"Lipschitz continuity","score":0.6942739486694336},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6539086103439331},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.6007466316223145},{"id":"https://openalex.org/keywords/projection","display_name":"Projection (relational algebra)","score":0.5953590869903564},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.5908873081207275},{"id":"https://openalex.org/keywords/projection-method","display_name":"Projection method","score":0.4811302721500397},{"id":"https://openalex.org/keywords/monotonic-function","display_name":"Monotonic function","score":0.47162890434265137},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4224920868873596},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.4140774607658386},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.29624274373054504},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2509877383708954},{"id":"https://openalex.org/keywords/dykstras-projection-algorithm","display_name":"Dykstra's projection algorithm","score":0.1863100826740265},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.14628291130065918},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.13233473896980286}],"concepts":[{"id":"https://openalex.org/C161999928","wikidata":"https://www.wikidata.org/wiki/Q4556320","display_name":"Variational inequality","level":2,"score":0.8394659757614136},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8032112121582031},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.7995645999908447},{"id":"https://openalex.org/C2834757","wikidata":"https://www.wikidata.org/wiki/Q4925424","display_name":"Monotone polygon","level":2,"score":0.7070603370666504},{"id":"https://openalex.org/C22324862","wikidata":"https://www.wikidata.org/wiki/Q652707","display_name":"Lipschitz continuity","level":2,"score":0.6942739486694336},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6539086103439331},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.6007466316223145},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.5953590869903564},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.5908873081207275},{"id":"https://openalex.org/C65557600","wikidata":"https://www.wikidata.org/wiki/Q7249451","display_name":"Projection method","level":3,"score":0.4811302721500397},{"id":"https://openalex.org/C72169020","wikidata":"https://www.wikidata.org/wiki/Q194404","display_name":"Monotonic function","level":2,"score":0.47162890434265137},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4224920868873596},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.4140774607658386},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.29624274373054504},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2509877383708954},{"id":"https://openalex.org/C202426404","wikidata":"https://www.wikidata.org/wiki/Q5318686","display_name":"Dykstra's projection algorithm","level":2,"score":0.1863100826740265},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.14628291130065918},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.13233473896980286},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s10957-016-0972-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10957-016-0972-4","pdf_url":null,"source":{"id":"https://openalex.org/S52430896","display_name":"Journal of Optimization Theory and Applications","issn_l":"0022-3239","issn":["0022-3239","1573-2878"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Optimization Theory and Applications","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-02356782v1","is_oa":false,"landing_page_url":"https://univ-antilles.hal.science/hal-02356782","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Optimization Theory and Applications, 2016","raw_type":"Journal articles"},{"id":"pmh:oai:RePEc:spr:joptap:v:171:y:2016:i:1:d:10.1007_s10957-016-0972-4","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s10957-016-0972-4","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10","score":0.6499999761581421}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W612220516","https://openalex.org/W1519983590","https://openalex.org/W1519983908","https://openalex.org/W1981705610","https://openalex.org/W1991765628","https://openalex.org/W2005723892","https://openalex.org/W2021549982","https://openalex.org/W2053487511","https://openalex.org/W2055467852","https://openalex.org/W2058749057","https://openalex.org/W2065121429","https://openalex.org/W2068486352","https://openalex.org/W2069356606","https://openalex.org/W2075226379","https://openalex.org/W2094548886","https://openalex.org/W2132347401","https://openalex.org/W2394608080","https://openalex.org/W2740739160","https://openalex.org/W2950866122","https://openalex.org/W2989058889","https://openalex.org/W3101497372"],"related_works":["https://openalex.org/W2085771669","https://openalex.org/W4221091651","https://openalex.org/W3131922696","https://openalex.org/W4229662703","https://openalex.org/W2383497899","https://openalex.org/W2033468445","https://openalex.org/W43918835","https://openalex.org/W4324027757","https://openalex.org/W3048061938","https://openalex.org/W2093863472"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":4},{"year":2025,"cited_by_count":11},{"year":2024,"cited_by_count":12},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":10},{"year":2021,"cited_by_count":16},{"year":2020,"cited_by_count":8},{"year":2019,"cited_by_count":18},{"year":2018,"cited_by_count":18},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":2}],"updated_date":"2026-05-07T13:39:58.223016","created_date":"2025-10-10T00:00:00"}
