{"id":"https://openalex.org/W2148856424","doi":"https://doi.org/10.1007/s10589-005-3063-2","title":"On Generalizations of the Frank-Wolfe Theorem to Convex and Quasi-Convex Programmes","display_name":"On Generalizations of the Frank-Wolfe Theorem to Convex and Quasi-Convex Programmes","publication_year":2005,"publication_date":"2005-10-18","ids":{"openalex":"https://openalex.org/W2148856424","doi":"https://doi.org/10.1007/s10589-005-3063-2","mag":"2148856424"},"language":"en","primary_location":{"id":"doi:10.1007/s10589-005-3063-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10589-005-3063-2","pdf_url":null,"source":{"id":"https://openalex.org/S39243548","display_name":"Computational Optimization and Applications","issn_l":"0926-6003","issn":["0926-6003","1573-2894"],"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":"Computational Optimization 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/A5012585631","display_name":"Wies\u0142awa T. Obuchowska","orcid":null},"institutions":[{"id":"https://openalex.org/I75722487","display_name":"Chowan University","ror":"https://ror.org/00g58cv73","country_code":"US","type":"education","lineage":["https://openalex.org/I75722487"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Wies\u0142awa T. Obuchowska","raw_affiliation_strings":["Department of Mathematics, Chowan College, Murfreesboro, NC, 27855"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Chowan College, Murfreesboro, NC, 27855","institution_ids":["https://openalex.org/I75722487"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5012585631"],"corresponding_institution_ids":["https://openalex.org/I75722487"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.8621,"has_fulltext":false,"cited_by_count":19,"citation_normalized_percentile":{"value":0.76676622,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"33","issue":"2-3","first_page":"349","last_page":"364"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9991000294685364,"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"}},"topics":[{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9991000294685364,"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/T10545","display_name":"Optimization and Variational Analysis","score":0.9987000226974487,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9866999983787537,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8714280128479004},{"id":"https://openalex.org/keywords/convex-set","display_name":"Convex set","score":0.6389321088790894},{"id":"https://openalex.org/keywords/subderivative","display_name":"Subderivative","score":0.599833607673645},{"id":"https://openalex.org/keywords/convex-analysis","display_name":"Convex analysis","score":0.5738778114318848},{"id":"https://openalex.org/keywords/proper-convex-function","display_name":"Proper convex function","score":0.569192111492157},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.5154641270637512},{"id":"https://openalex.org/keywords/linear-matrix-inequality","display_name":"Linear matrix inequality","score":0.4841773808002472},{"id":"https://openalex.org/keywords/danskins-theorem","display_name":"Danskin's theorem","score":0.4813304841518402},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.45515555143356323},{"id":"https://openalex.org/keywords/convex-function","display_name":"Convex function","score":0.4239943325519562},{"id":"https://openalex.org/keywords/feasible-region","display_name":"Feasible region","score":0.41714581847190857},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4025551974773407},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3675724267959595},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3338959217071533},{"id":"https://openalex.org/keywords/picard\u2013lindel\u00f6f-theorem","display_name":"Picard\u2013Lindel\u00f6f theorem","score":0.21147802472114563},{"id":"https://openalex.org/keywords/fixed-point-theorem","display_name":"Fixed-point theorem","score":0.12519463896751404}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8714280128479004},{"id":"https://openalex.org/C49870271","wikidata":"https://www.wikidata.org/wiki/Q193657","display_name":"Convex set","level":4,"score":0.6389321088790894},{"id":"https://openalex.org/C200661725","wikidata":"https://www.wikidata.org/wiki/Q289500","display_name":"Subderivative","level":4,"score":0.599833607673645},{"id":"https://openalex.org/C12108790","wikidata":"https://www.wikidata.org/wiki/Q2234833","display_name":"Convex analysis","level":4,"score":0.5738778114318848},{"id":"https://openalex.org/C50862404","wikidata":"https://www.wikidata.org/wiki/Q3075259","display_name":"Proper convex function","level":5,"score":0.569192111492157},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.5154641270637512},{"id":"https://openalex.org/C201829737","wikidata":"https://www.wikidata.org/wiki/Q2022760","display_name":"Linear matrix inequality","level":2,"score":0.4841773808002472},{"id":"https://openalex.org/C48540410","wikidata":"https://www.wikidata.org/wiki/Q5221089","display_name":"Danskin's theorem","level":4,"score":0.4813304841518402},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.45515555143356323},{"id":"https://openalex.org/C145446738","wikidata":"https://www.wikidata.org/wiki/Q319913","display_name":"Convex function","level":3,"score":0.4239943325519562},{"id":"https://openalex.org/C177067428","wikidata":"https://www.wikidata.org/wiki/Q17013331","display_name":"Feasible region","level":2,"score":0.41714581847190857},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4025551974773407},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3675724267959595},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3338959217071533},{"id":"https://openalex.org/C206929604","wikidata":"https://www.wikidata.org/wiki/Q530152","display_name":"Picard\u2013Lindel\u00f6f theorem","level":3,"score":0.21147802472114563},{"id":"https://openalex.org/C45962547","wikidata":"https://www.wikidata.org/wiki/Q1422068","display_name":"Fixed-point theorem","level":2,"score":0.12519463896751404},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10589-005-3063-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10589-005-3063-2","pdf_url":null,"source":{"id":"https://openalex.org/S39243548","display_name":"Computational Optimization and Applications","issn_l":"0926-6003","issn":["0926-6003","1573-2894"],"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":"Computational Optimization and Applications","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","score":0.4000000059604645,"display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W178640279","https://openalex.org/W203192772","https://openalex.org/W640121886","https://openalex.org/W1546461095","https://openalex.org/W1553702074","https://openalex.org/W1585205451","https://openalex.org/W1964143142","https://openalex.org/W1966253383","https://openalex.org/W1994547505","https://openalex.org/W2014178370","https://openalex.org/W2014495923","https://openalex.org/W2024509716","https://openalex.org/W2027889205","https://openalex.org/W2048720781","https://openalex.org/W2065028030","https://openalex.org/W2072817716","https://openalex.org/W2082451773","https://openalex.org/W2092095291","https://openalex.org/W2136885855","https://openalex.org/W3105592538","https://openalex.org/W4211079688","https://openalex.org/W4244058206","https://openalex.org/W4253214256"],"related_works":["https://openalex.org/W2356261519","https://openalex.org/W4382519084","https://openalex.org/W2478309485","https://openalex.org/W2026600343","https://openalex.org/W1978014154","https://openalex.org/W3092518081","https://openalex.org/W165488893","https://openalex.org/W2617507642","https://openalex.org/W4361807553","https://openalex.org/W4234856521"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":4}],"updated_date":"2026-05-22T09:01:20.584952","created_date":"2025-10-10T00:00:00"}