{"id":"https://openalex.org/W2033288946","doi":"https://doi.org/10.1016/s0377-2217(03)00352-7","title":"Minimax programming under (p,r)-invexity","display_name":"Minimax programming under (p,r)-invexity","publication_year":2003,"publication_date":"2003-07-31","ids":{"openalex":"https://openalex.org/W2033288946","doi":"https://doi.org/10.1016/s0377-2217(03)00352-7","mag":"2033288946"},"language":"en","primary_location":{"id":"doi:10.1016/s0377-2217(03)00352-7","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0377-2217(03)00352-7","pdf_url":null,"source":{"id":"https://openalex.org/S103321696","display_name":"European Journal of Operational Research","issn_l":"0377-2217","issn":["0377-2217","1872-6860"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"European Journal of Operational Research","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/A5050602810","display_name":"Tadeusz Antczak","orcid":"https://orcid.org/0000-0002-2218-7668"},"institutions":[{"id":"https://openalex.org/I34250744","display_name":"University of \u0141\u00f3d\u017a","ror":"https://ror.org/05cq64r17","country_code":"PL","type":"education","lineage":["https://openalex.org/I34250744"]}],"countries":["PL"],"is_corresponding":true,"raw_author_name":"Tadeusz Antczak","raw_affiliation_strings":["Faculty of Mathematics, University of \u0141\u00f3d\u017a, Banacha 22, 90-238 \u0141\u00f3d\u017a, Poland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Mathematics, University of \u0141\u00f3d\u017a, Banacha 22, 90-238 \u0141\u00f3d\u017a, Poland","institution_ids":["https://openalex.org/I34250744"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5050602810"],"corresponding_institution_ids":["https://openalex.org/I34250744"],"apc_list":{"value":3290,"currency":"USD","value_usd":3290},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":15,"citation_normalized_percentile":{"value":0.14444805,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"158","issue":"1","first_page":"1","last_page":"19"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9997000098228455,"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":0.9997000098228455,"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":0.995199978351593,"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":0.9950000047683716,"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/minimax","display_name":"Minimax","score":0.9083040952682495},{"id":"https://openalex.org/keywords/duality","display_name":"Duality (order theory)","score":0.7838004231452942},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6559118032455444},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5878146290779114},{"id":"https://openalex.org/keywords/parametric-statistics","display_name":"Parametric statistics","score":0.5780851244926453},{"id":"https://openalex.org/keywords/dual","display_name":"Dual (grammatical number)","score":0.5556954145431519},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5458503365516663},{"id":"https://openalex.org/keywords/strong-duality","display_name":"Strong duality","score":0.4713549017906189},{"id":"https://openalex.org/keywords/duality-gap","display_name":"Duality gap","score":0.45377570390701294},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.41923806071281433},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.327147901058197},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3230021595954895},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.28542253375053406},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.2723829746246338},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.06187957525253296}],"concepts":[{"id":"https://openalex.org/C149728462","wikidata":"https://www.wikidata.org/wiki/Q751319","display_name":"Minimax","level":2,"score":0.9083040952682495},{"id":"https://openalex.org/C2778023678","wikidata":"https://www.wikidata.org/wiki/Q554403","display_name":"Duality (order theory)","level":2,"score":0.7838004231452942},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6559118032455444},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5878146290779114},{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.5780851244926453},{"id":"https://openalex.org/C2780980858","wikidata":"https://www.wikidata.org/wiki/Q110022","display_name":"Dual (grammatical number)","level":2,"score":0.5556954145431519},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5458503365516663},{"id":"https://openalex.org/C163863214","wikidata":"https://www.wikidata.org/wiki/Q7624553","display_name":"Strong duality","level":3,"score":0.4713549017906189},{"id":"https://openalex.org/C5274546","wikidata":"https://www.wikidata.org/wiki/Q5310264","display_name":"Duality gap","level":3,"score":0.45377570390701294},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.41923806071281433},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.327147901058197},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3230021595954895},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.28542253375053406},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.2723829746246338},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.06187957525253296},{"id":"https://openalex.org/C124952713","wikidata":"https://www.wikidata.org/wiki/Q8242","display_name":"Literature","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C142362112","wikidata":"https://www.wikidata.org/wiki/Q735","display_name":"Art","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1016/s0377-2217(03)00352-7","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0377-2217(03)00352-7","pdf_url":null,"source":{"id":"https://openalex.org/S103321696","display_name":"European Journal of Operational Research","issn_l":"0377-2217","issn":["0377-2217","1872-6860"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"European Journal of Operational Research","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:eee:ejores:v:158:y:2004:i:1:p:1-19","is_oa":false,"landing_page_url":"http://www.sciencedirect.com/science/article/pii/S0377-2217(03)00352-7","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":15,"referenced_works":["https://openalex.org/W1998886341","https://openalex.org/W2000983337","https://openalex.org/W2050798859","https://openalex.org/W2060383358","https://openalex.org/W2075978622","https://openalex.org/W2080728558","https://openalex.org/W2093404847","https://openalex.org/W2095479712","https://openalex.org/W2127489714","https://openalex.org/W2145994306","https://openalex.org/W2561178549","https://openalex.org/W2787523326","https://openalex.org/W2991163709","https://openalex.org/W4253845129","https://openalex.org/W6665455430"],"related_works":["https://openalex.org/W4220928172","https://openalex.org/W2725387418","https://openalex.org/W2201555914","https://openalex.org/W2593555778","https://openalex.org/W2614523486","https://openalex.org/W2080941243","https://openalex.org/W2136200239","https://openalex.org/W2038258422","https://openalex.org/W3213165575","https://openalex.org/W1687657632"],"abstract_inverted_index":null,"counts_by_year":[{"year":2021,"cited_by_count":3},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
