{"id":"https://openalex.org/W2045552614","doi":"https://doi.org/10.1007/s001860100130","title":"Optimality conditions in non-convex set-valued optimization","display_name":"Optimality conditions in non-convex set-valued optimization","publication_year":2001,"publication_date":"2001-07-01","ids":{"openalex":"https://openalex.org/W2045552614","doi":"https://doi.org/10.1007/s001860100130","mag":"2045552614"},"language":"en","primary_location":{"id":"doi:10.1007/s001860100130","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s001860100130","pdf_url":null,"source":{"id":"https://openalex.org/S126160977","display_name":"Mathematical Methods of Operations Research","issn_l":"1432-2994","issn":["1432-2994","1432-5217"],"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 Methods of Operations Research (ZOR)","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://hdl.handle.net/10533/172988","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5073555271","display_name":"Fabi\u00e1n Flores-Baz\u00e1n","orcid":"https://orcid.org/0000-0003-2485-7861"},"institutions":[{"id":"https://openalex.org/I172787465","display_name":"University of Concepci\u00f3n","ror":"https://ror.org/0460jpj73","country_code":"CL","type":"education","lineage":["https://openalex.org/I172787465"]}],"countries":["CL"],"is_corresponding":true,"raw_author_name":"Fabi\u00e1n Flores-Baz\u00e1n","raw_affiliation_strings":["Universidad de Concepci\u00f3n, Facultad de Ciencias F\u0131\u00b4sicas y Matem\u00e1ticas, Departamento de Ingenier\u0131\u00b4a Matem\u00e1tica, Casilla 160-C, Concepci\u00f3n, Chile. (e-mail: fflores@ing-mat.udec.cl), , , , , , CL","Universidad de Concepci\u00f3n, Facultad de Ciencias F\u0131\u00b4sicas y Matem\u00e1ticas, Departamento de Ingenier\u0131\u00b4a Matem\u00e1tica, Casilla 160-C, Concepci\u00f3n, Chile. (e-mail: fflores@ing-mat.udec.cl), , CL"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universidad de Concepci\u00f3n, Facultad de Ciencias F\u0131\u00b4sicas y Matem\u00e1ticas, Departamento de Ingenier\u0131\u00b4a Matem\u00e1tica, Casilla 160-C, Concepci\u00f3n, Chile. (e-mail: fflores@ing-mat.udec.cl), , , , , , CL","institution_ids":["https://openalex.org/I172787465"]},{"raw_affiliation_string":"Universidad de Concepci\u00f3n, Facultad de Ciencias F\u0131\u00b4sicas y Matem\u00e1ticas, Departamento de Ingenier\u0131\u00b4a Matem\u00e1tica, Casilla 160-C, Concepci\u00f3n, Chile. (e-mail: fflores@ing-mat.udec.cl), , CL","institution_ids":["https://openalex.org/I172787465"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5073555271"],"corresponding_institution_ids":["https://openalex.org/I172787465"],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":null,"fwci":2.6596,"has_fulltext":false,"cited_by_count":45,"citation_normalized_percentile":{"value":0.89533919,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"53","issue":"3","first_page":"403","last_page":"417"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9994999766349792,"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":0.9994999766349792,"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":0.9546999931335449,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/subderivative","display_name":"Subderivative","score":0.7019800543785095},{"id":"https://openalex.org/keywords/convex-set","display_name":"Convex set","score":0.6312753558158875},{"id":"https://openalex.org/keywords/convex-analysis","display_name":"Convex analysis","score":0.6226605772972107},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.6221044659614563},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6151828765869141},{"id":"https://openalex.org/keywords/proper-convex-function","display_name":"Proper convex function","score":0.5840186476707458},{"id":"https://openalex.org/keywords/conic-optimization","display_name":"Conic optimization","score":0.5611201524734497},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.5573868155479431},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5564466714859009},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5283694267272949},{"id":"https://openalex.org/keywords/convex-combination","display_name":"Convex combination","score":0.5017538070678711},{"id":"https://openalex.org/keywords/absolutely-convex-set","display_name":"Absolutely convex set","score":0.44065776467323303},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.29643839597702026},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.06508767604827881}],"concepts":[{"id":"https://openalex.org/C200661725","wikidata":"https://www.wikidata.org/wiki/Q289500","display_name":"Subderivative","level":4,"score":0.7019800543785095},{"id":"https://openalex.org/C49870271","wikidata":"https://www.wikidata.org/wiki/Q193657","display_name":"Convex set","level":4,"score":0.6312753558158875},{"id":"https://openalex.org/C12108790","wikidata":"https://www.wikidata.org/wiki/Q2234833","display_name":"Convex analysis","level":4,"score":0.6226605772972107},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.6221044659614563},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6151828765869141},{"id":"https://openalex.org/C50862404","wikidata":"https://www.wikidata.org/wiki/Q3075259","display_name":"Proper convex function","level":5,"score":0.5840186476707458},{"id":"https://openalex.org/C79187972","wikidata":"https://www.wikidata.org/wiki/Q2654791","display_name":"Conic optimization","level":5,"score":0.5611201524734497},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.5573868155479431},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5564466714859009},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5283694267272949},{"id":"https://openalex.org/C111110010","wikidata":"https://www.wikidata.org/wiki/Q2627315","display_name":"Convex combination","level":4,"score":0.5017538070678711},{"id":"https://openalex.org/C6018138","wikidata":"https://www.wikidata.org/wiki/Q332715","display_name":"Absolutely convex set","level":5,"score":0.44065776467323303},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.29643839597702026},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.06508767604827881},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s001860100130","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s001860100130","pdf_url":null,"source":{"id":"https://openalex.org/S126160977","display_name":"Mathematical Methods of Operations Research","issn_l":"1432-2994","issn":["1432-2994","1432-5217"],"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 Methods of Operations Research (ZOR)","raw_type":"journal-article"},{"id":"pmh:oai:americanae.aecid.es:3229901","is_oa":true,"landing_page_url":"http://hdl.handle.net/10533/172988","pdf_url":null,"source":{"id":"https://openalex.org/S4306400786","display_name":"Americanae (AECID Library)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"MATHEMATICAL METHODS OF OPERATIONS RESEARCH","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:RePEc:spr:compst:v:53:y:2001:i:3:p:403-417","is_oa":false,"landing_page_url":"http://hdl.handle.net/10.1007/s001860100130","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":"","raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:americanae.aecid.es:3229901","is_oa":true,"landing_page_url":"http://hdl.handle.net/10533/172988","pdf_url":null,"source":{"id":"https://openalex.org/S4306400786","display_name":"Americanae (AECID Library)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"MATHEMATICAL METHODS OF OPERATIONS RESEARCH","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2026600343","https://openalex.org/W2478309485","https://openalex.org/W3092518081","https://openalex.org/W2002037426","https://openalex.org/W1978014154","https://openalex.org/W4382519084","https://openalex.org/W2388375429","https://openalex.org/W4361807553","https://openalex.org/W2040676043","https://openalex.org/W2356261519"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":4}],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}