{"id":"https://openalex.org/W2921027139","doi":"https://doi.org/10.1007/s10898-019-00757-2","title":"Proximal bundle methods based on approximate subgradients for solving Lagrangian duals of minimax fractional programs","display_name":"Proximal bundle methods based on approximate subgradients for solving Lagrangian duals of minimax fractional programs","publication_year":2019,"publication_date":"2019-03-11","ids":{"openalex":"https://openalex.org/W2921027139","doi":"https://doi.org/10.1007/s10898-019-00757-2","mag":"2921027139"},"language":"en","primary_location":{"id":"doi:10.1007/s10898-019-00757-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10898-019-00757-2","pdf_url":null,"source":{"id":"https://openalex.org/S115925768","display_name":"Journal of Global Optimization","issn_l":"0925-5001","issn":["0925-5001","1573-2916"],"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 Global Optimization","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/A5044289479","display_name":"Hssaine Boualam","orcid":null},"institutions":[{"id":"https://openalex.org/I4210145365","display_name":"Universit\u00e9 Hassan 1er","ror":"https://ror.org/03cdvht47","country_code":"MA","type":"education","lineage":["https://openalex.org/I4210145365"]}],"countries":["MA"],"is_corresponding":true,"raw_author_name":"H. Boualam","raw_affiliation_strings":["Laboratoire MISI, Facult\u00e9 des Sciences et Techniques, Univ. Hassan 1, Settat, Morocco"],"affiliations":[{"raw_affiliation_string":"Laboratoire MISI, Facult\u00e9 des Sciences et Techniques, Univ. Hassan 1, Settat, Morocco","institution_ids":["https://openalex.org/I4210145365"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5035218095","display_name":"Ahmed Roubi","orcid":null},"institutions":[{"id":"https://openalex.org/I4210145365","display_name":"Universit\u00e9 Hassan 1er","ror":"https://ror.org/03cdvht47","country_code":"MA","type":"education","lineage":["https://openalex.org/I4210145365"]}],"countries":["MA"],"is_corresponding":false,"raw_author_name":"A. Roubi","raw_affiliation_strings":["Laboratoire MISI, Facult\u00e9 des Sciences et Techniques, Univ. Hassan 1, Settat, Morocco"],"affiliations":[{"raw_affiliation_string":"Laboratoire MISI, Facult\u00e9 des Sciences et Techniques, Univ. Hassan 1, Settat, Morocco","institution_ids":["https://openalex.org/I4210145365"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5044289479"],"corresponding_institution_ids":["https://openalex.org/I4210145365"],"apc_list":{"value":2190,"currency":"EUR","value_usd":2780},"apc_paid":null,"fwci":0.7983,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.74229181,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"74","issue":"2","first_page":"255","last_page":"284"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9979000091552734,"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/T12709","display_name":"Optimization and Mathematical Programming","score":0.9962000250816345,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/dual-polyhedron","display_name":"Dual polyhedron","score":0.9494165182113647},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.9193593263626099},{"id":"https://openalex.org/keywords/minimax","display_name":"Minimax","score":0.8317075967788696},{"id":"https://openalex.org/keywords/lagrangian","display_name":"Lagrangian","score":0.6471303701400757},{"id":"https://openalex.org/keywords/bundle","display_name":"Bundle","score":0.5135746002197266},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.44062861800193787},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4398152530193329},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2998408377170563}],"concepts":[{"id":"https://openalex.org/C105313907","wikidata":"https://www.wikidata.org/wiki/Q1053857","display_name":"Dual polyhedron","level":2,"score":0.9494165182113647},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9193593263626099},{"id":"https://openalex.org/C149728462","wikidata":"https://www.wikidata.org/wiki/Q751319","display_name":"Minimax","level":2,"score":0.8317075967788696},{"id":"https://openalex.org/C53469067","wikidata":"https://www.wikidata.org/wiki/Q505735","display_name":"Lagrangian","level":2,"score":0.6471303701400757},{"id":"https://openalex.org/C2778134712","wikidata":"https://www.wikidata.org/wiki/Q1047307","display_name":"Bundle","level":2,"score":0.5135746002197266},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.44062861800193787},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4398152530193329},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2998408377170563},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10898-019-00757-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10898-019-00757-2","pdf_url":null,"source":{"id":"https://openalex.org/S115925768","display_name":"Journal of Global Optimization","issn_l":"0925-5001","issn":["0925-5001","1573-2916"],"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 Global Optimization","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:spr:jglopt:v:74:y:2019:i:2:d:10.1007_s10898-019-00757-2","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s10898-019-00757-2","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":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":58,"referenced_works":["https://openalex.org/W11852162","https://openalex.org/W45336737","https://openalex.org/W69531596","https://openalex.org/W125893497","https://openalex.org/W1553702074","https://openalex.org/W1568288633","https://openalex.org/W1953936588","https://openalex.org/W1964244351","https://openalex.org/W1984812465","https://openalex.org/W1985077192","https://openalex.org/W1986274272","https://openalex.org/W1987754649","https://openalex.org/W2004683444","https://openalex.org/W2005957490","https://openalex.org/W2009117714","https://openalex.org/W2015973352","https://openalex.org/W2022150446","https://openalex.org/W2025918664","https://openalex.org/W2029650406","https://openalex.org/W2038497950","https://openalex.org/W2039110678","https://openalex.org/W2040606011","https://openalex.org/W2041854759","https://openalex.org/W2041928877","https://openalex.org/W2053508727","https://openalex.org/W2064114733","https://openalex.org/W2068024109","https://openalex.org/W2075978622","https://openalex.org/W2079646161","https://openalex.org/W2079688774","https://openalex.org/W2083432309","https://openalex.org/W2084094144","https://openalex.org/W2087384349","https://openalex.org/W2091371007","https://openalex.org/W2095191675","https://openalex.org/W2099679613","https://openalex.org/W2115193398","https://openalex.org/W2118124712","https://openalex.org/W2171163933","https://openalex.org/W2224698616","https://openalex.org/W2543381247","https://openalex.org/W2564138804","https://openalex.org/W2578992305","https://openalex.org/W2605892009","https://openalex.org/W2607065074","https://openalex.org/W2649544536","https://openalex.org/W2765418381","https://openalex.org/W2774074136","https://openalex.org/W2798271530","https://openalex.org/W2835899109","https://openalex.org/W2887994020","https://openalex.org/W2964153876","https://openalex.org/W4210963865","https://openalex.org/W4212912562","https://openalex.org/W4231613820","https://openalex.org/W4247489173","https://openalex.org/W4254629716","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2536013957","https://openalex.org/W2594626304","https://openalex.org/W2090263210","https://openalex.org/W4322492640","https://openalex.org/W2012754903","https://openalex.org/W2949039133","https://openalex.org/W2082432022","https://openalex.org/W3049013366","https://openalex.org/W2058152104","https://openalex.org/W3182145356"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}