{"id":"https://openalex.org/W2130117043","doi":"https://doi.org/10.1007/s10107-013-0672-x","title":"Constraint qualifications and optimality conditions for nonconvex semi-infinite and infinite programs","display_name":"Constraint qualifications and optimality conditions for nonconvex semi-infinite and infinite programs","publication_year":2013,"publication_date":"2013-03-25","ids":{"openalex":"https://openalex.org/W2130117043","doi":"https://doi.org/10.1007/s10107-013-0672-x","mag":"2130117043"},"language":"en","primary_location":{"id":"doi:10.1007/s10107-013-0672-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10107-013-0672-x","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/A5066241737","display_name":"Boris S. Mordukhovich","orcid":"https://orcid.org/0000-0002-6071-6049"},"institutions":[{"id":"https://openalex.org/I185443292","display_name":"Wayne State University","ror":"https://ror.org/01070mq45","country_code":"US","type":"education","lineage":["https://openalex.org/I185443292"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"B. Mordukhovich","raw_affiliation_strings":["Department of Mathematics, Wayne State University, Detroit, MI, 48202, USA","Wayne State University"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Wayne State University, Detroit, MI, 48202, USA","institution_ids":["https://openalex.org/I185443292"]},{"raw_affiliation_string":"Wayne State University","institution_ids":["https://openalex.org/I185443292"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5075913105","display_name":"T. T. A. Nghia","orcid":"https://orcid.org/0000-0001-7016-6450"},"institutions":[{"id":"https://openalex.org/I185443292","display_name":"Wayne State University","ror":"https://ror.org/01070mq45","country_code":"US","type":"education","lineage":["https://openalex.org/I185443292"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"T. T. A. Nghia","raw_affiliation_strings":["Department of Mathematics, Wayne State University, Detroit, MI, 48202, USA","Wayne State University"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Wayne State University, Detroit, MI, 48202, USA","institution_ids":["https://openalex.org/I185443292"]},{"raw_affiliation_string":"Wayne State University","institution_ids":["https://openalex.org/I185443292"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5066241737"],"corresponding_institution_ids":["https://openalex.org/I185443292"],"apc_list":{"value":2190,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":5.5945,"has_fulltext":false,"cited_by_count":49,"citation_normalized_percentile":{"value":0.96270992,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"139","issue":"1-2","first_page":"271","last_page":"300"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9977999925613403,"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":0.9794999957084656,"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":0.8699188232421875},{"id":"https://openalex.org/keywords/semi-infinite-programming","display_name":"Semi-infinite programming","score":0.6506834030151367},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.6354652643203735},{"id":"https://openalex.org/keywords/nonlinear-programming","display_name":"Nonlinear programming","score":0.5199416875839233},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.48266342282295227},{"id":"https://openalex.org/keywords/variational-analysis","display_name":"Variational analysis","score":0.45808330178260803},{"id":"https://openalex.org/keywords/infinite-group","display_name":"Infinite group","score":0.41043341159820557},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3683598041534424},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.35712558031082153},{"id":"https://openalex.org/keywords/group","display_name":"Group (periodic table)","score":0.1202450692653656},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.06874427199363708}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8699188232421875},{"id":"https://openalex.org/C2780394207","wikidata":"https://www.wikidata.org/wiki/Q7449304","display_name":"Semi-infinite programming","level":3,"score":0.6506834030151367},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.6354652643203735},{"id":"https://openalex.org/C115527620","wikidata":"https://www.wikidata.org/wiki/Q769909","display_name":"Nonlinear programming","level":3,"score":0.5199416875839233},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.48266342282295227},{"id":"https://openalex.org/C523394659","wikidata":"https://www.wikidata.org/wiki/Q17086892","display_name":"Variational analysis","level":2,"score":0.45808330178260803},{"id":"https://openalex.org/C559843788","wikidata":"https://www.wikidata.org/wiki/Q374268","display_name":"Infinite group","level":3,"score":0.41043341159820557},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3683598041534424},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.35712558031082153},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.1202450692653656},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.06874427199363708},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10107-013-0672-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10107-013-0672-x","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":[{"display_name":"Peace, Justice and strong institutions","score":0.7099999785423279,"id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W8495306","https://openalex.org/W75278000","https://openalex.org/W83112366","https://openalex.org/W345014192","https://openalex.org/W580782046","https://openalex.org/W1503425191","https://openalex.org/W1555801467","https://openalex.org/W1556819741","https://openalex.org/W1601741115","https://openalex.org/W2003678808","https://openalex.org/W2006581042","https://openalex.org/W2014211093","https://openalex.org/W2031840936","https://openalex.org/W2038398448","https://openalex.org/W2043136268","https://openalex.org/W2054919724","https://openalex.org/W2062662841","https://openalex.org/W2071614036","https://openalex.org/W2075887074","https://openalex.org/W2085841101","https://openalex.org/W2087678728","https://openalex.org/W2092191703","https://openalex.org/W2136553956","https://openalex.org/W2153562582","https://openalex.org/W2323201333","https://openalex.org/W2596682183","https://openalex.org/W2869708730","https://openalex.org/W2914166403","https://openalex.org/W3157341860","https://openalex.org/W4214631981","https://openalex.org/W4249513058","https://openalex.org/W4254238256","https://openalex.org/W4285719527","https://openalex.org/W6616854710"],"related_works":["https://openalex.org/W2519041334","https://openalex.org/W995811240","https://openalex.org/W2058079132","https://openalex.org/W1987778712","https://openalex.org/W3127671907","https://openalex.org/W2032266076","https://openalex.org/W2845388577","https://openalex.org/W2051111399","https://openalex.org/W2074122434","https://openalex.org/W3045309845"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":5},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}