{"id":"https://openalex.org/W2013381871","doi":"https://doi.org/10.1007/pl00011377","title":"Existence of optimal solutions and duality results under weak conditions","display_name":"Existence of optimal solutions and duality results under weak conditions","publication_year":2000,"publication_date":"2000-06-01","ids":{"openalex":"https://openalex.org/W2013381871","doi":"https://doi.org/10.1007/pl00011377","mag":"2013381871"},"language":"en","primary_location":{"id":"doi:10.1007/pl00011377","is_oa":false,"landing_page_url":"https://doi.org/10.1007/pl00011377","pdf_url":null,"source":{"id":"https://openalex.org/S193920097","display_name":"Mathematical Programming","issn_l":"0025-5610","issn":["0025-5610","1436-4646"],"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":"Mathematical Programming","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/A5045265039","display_name":"A. Auslender","orcid":null},"institutions":[{"id":"https://openalex.org/I142476485","display_name":"\u00c9cole Polytechnique","ror":"https://ror.org/05hy3tk52","country_code":"FR","type":"education","lineage":["https://openalex.org/I142476485","https://openalex.org/I4210145102"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"A. Auslender","raw_affiliation_strings":["Laboratoire d\u2019Econom\u00e9trie, Ecole Polytechnique, 1 rue Descartes, 75005 Paris, France, e-mail: auslen@poly.polytechnique.fr, , , , , , FR","Laboratoire d\u2019Econom\u00e9trie, Ecole Polytechnique, 1 rue Descartes, 75005 Paris, France, e-mail: auslen@poly.polytechnique.fr, , FR"],"affiliations":[{"raw_affiliation_string":"Laboratoire d\u2019Econom\u00e9trie, Ecole Polytechnique, 1 rue Descartes, 75005 Paris, France, e-mail: auslen@poly.polytechnique.fr, , , , , , FR","institution_ids":["https://openalex.org/I142476485"]},{"raw_affiliation_string":"Laboratoire d\u2019Econom\u00e9trie, Ecole Polytechnique, 1 rue Descartes, 75005 Paris, France, e-mail: auslen@poly.polytechnique.fr, , FR","institution_ids":["https://openalex.org/I142476485"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5045265039"],"corresponding_institution_ids":["https://openalex.org/I142476485"],"apc_list":{"value":2190,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":3.3097,"has_fulltext":false,"cited_by_count":40,"citation_normalized_percentile":{"value":0.91843236,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"88","issue":"1","first_page":"45","last_page":"59"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9995999932289124,"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":0.9995999932289124,"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/T10698","display_name":"Transportation Planning and Optimization","score":0.9965000152587891,"subfield":{"id":"https://openalex.org/subfields/3313","display_name":"Transportation"},"field":{"id":"https://openalex.org/fields/33","display_name":"Social Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T12709","display_name":"Optimization and Mathematical Programming","score":0.991599977016449,"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/mathematics","display_name":"Mathematics","score":0.8030500411987305},{"id":"https://openalex.org/keywords/duality","display_name":"Duality (order theory)","score":0.6758285164833069},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.5872507095336914},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4486067295074463},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.3995199203491211},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3751295506954193},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.336390882730484},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3196481466293335},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2588580250740051}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8030500411987305},{"id":"https://openalex.org/C2778023678","wikidata":"https://www.wikidata.org/wiki/Q554403","display_name":"Duality (order theory)","level":2,"score":0.6758285164833069},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.5872507095336914},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4486067295074463},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.3995199203491211},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3751295506954193},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.336390882730484},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3196481466293335},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2588580250740051},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/pl00011377","is_oa":false,"landing_page_url":"https://doi.org/10.1007/pl00011377","pdf_url":null,"source":{"id":"https://openalex.org/S193920097","display_name":"Mathematical Programming","issn_l":"0025-5610","issn":["0025-5610","1436-4646"],"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":"Mathematical Programming","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":4,"referenced_works":["https://openalex.org/W1513869646","https://openalex.org/W2025311322","https://openalex.org/W2136885855","https://openalex.org/W2137048541"],"related_works":["https://openalex.org/W1978042415","https://openalex.org/W2017331178","https://openalex.org/W2964072617","https://openalex.org/W2976797620","https://openalex.org/W2260035625","https://openalex.org/W2086316338","https://openalex.org/W1998719458","https://openalex.org/W2006145505","https://openalex.org/W2272185638","https://openalex.org/W2057800505"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":4}],"updated_date":"2026-04-01T17:29:45.350535","created_date":"2025-10-10T00:00:00"}
