{"id":"https://openalex.org/W2594910400","doi":"https://doi.org/10.1007/s10957-017-1091-6","title":"Existence of Augmented Lagrange Multipliers for Semi-infinite Programming Problems","display_name":"Existence of Augmented Lagrange Multipliers for Semi-infinite Programming Problems","publication_year":2017,"publication_date":"2017-03-07","ids":{"openalex":"https://openalex.org/W2594910400","doi":"https://doi.org/10.1007/s10957-017-1091-6","mag":"2594910400"},"language":"en","primary_location":{"id":"doi:10.1007/s10957-017-1091-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10957-017-1091-6","pdf_url":null,"source":{"id":"https://openalex.org/S52430896","display_name":"Journal of Optimization Theory and Applications","issn_l":"0022-3239","issn":["0022-3239","1573-2878"],"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":"Journal of Optimization Theory 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/A5075925642","display_name":"Regina S. Burachik","orcid":"https://orcid.org/0000-0003-1332-6213"},"institutions":[{"id":"https://openalex.org/I170239107","display_name":"University of South Australia","ror":"https://ror.org/01p93h210","country_code":"AU","type":"education","lineage":["https://openalex.org/I170239107"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"R. S. Burachik","raw_affiliation_strings":["School of Information Technology and Mathematical Sciences, University of South Australia, Adelaide, Australia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Information Technology and Mathematical Sciences, University of South Australia, Adelaide, Australia","institution_ids":["https://openalex.org/I170239107"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5024523994","display_name":"Xiaoqi Yang","orcid":"https://orcid.org/0000-0002-5583-4032"},"institutions":[{"id":"https://openalex.org/I14243506","display_name":"Hong Kong Polytechnic University","ror":"https://ror.org/0030zas98","country_code":"HK","type":"education","lineage":["https://openalex.org/I14243506"]}],"countries":["HK"],"is_corresponding":true,"raw_author_name":"X. Q. Yang","raw_affiliation_strings":["Department of Applied Mathematics, The Hong Kong Polytechnic University, Hong Kong, China"],"raw_orcid":"https://orcid.org/0000-0002-5583-4032","affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, The Hong Kong Polytechnic University, Hong Kong, China","institution_ids":["https://openalex.org/I14243506"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5004112467","display_name":"Yuying Zhou","orcid":"https://orcid.org/0000-0003-4695-7169"},"institutions":[{"id":"https://openalex.org/I3923682","display_name":"Soochow University","ror":"https://ror.org/05t8y2r12","country_code":"CN","type":"education","lineage":["https://openalex.org/I3923682"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Y. Y. Zhou","raw_affiliation_strings":["Department of Mathematics, Soochow University, Suzhou, 215006, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Soochow University, Suzhou, 215006, China","institution_ids":["https://openalex.org/I3923682"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5024523994"],"corresponding_institution_ids":["https://openalex.org/I14243506"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":1.4356,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.82951037,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"173","issue":"2","first_page":"471","last_page":"503"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9987999796867371,"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/T11413","display_name":"Risk and Portfolio Optimization","score":0.9581000208854675,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/lagrange-multiplier","display_name":"Lagrange multiplier","score":0.9175976514816284},{"id":"https://openalex.org/keywords/augmented-lagrangian-method","display_name":"Augmented Lagrangian method","score":0.8956168293952942},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8338196277618408},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.6832221746444702},{"id":"https://openalex.org/keywords/constraint-algorithm","display_name":"Constraint algorithm","score":0.6729683876037598},{"id":"https://openalex.org/keywords/compact-space","display_name":"Compact space","score":0.533598005771637},{"id":"https://openalex.org/keywords/lagrangian-relaxation","display_name":"Lagrangian relaxation","score":0.52641361951828},{"id":"https://openalex.org/keywords/lagrangian","display_name":"Lagrangian","score":0.517663300037384},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.4807164967060089},{"id":"https://openalex.org/keywords/semi-infinite-programming","display_name":"Semi-infinite programming","score":0.47323334217071533},{"id":"https://openalex.org/keywords/multiplier","display_name":"Multiplier (economics)","score":0.4478309750556946},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4241042733192444},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.42400991916656494},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3067653179168701},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.1144077479839325},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.09277626872062683}],"concepts":[{"id":"https://openalex.org/C73684929","wikidata":"https://www.wikidata.org/wiki/Q598870","display_name":"Lagrange multiplier","level":2,"score":0.9175976514816284},{"id":"https://openalex.org/C150452318","wikidata":"https://www.wikidata.org/wiki/Q4820432","display_name":"Augmented Lagrangian method","level":2,"score":0.8956168293952942},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8338196277618408},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.6832221746444702},{"id":"https://openalex.org/C15980293","wikidata":"https://www.wikidata.org/wiki/Q5164368","display_name":"Constraint algorithm","level":3,"score":0.6729683876037598},{"id":"https://openalex.org/C18648836","wikidata":"https://www.wikidata.org/wiki/Q381892","display_name":"Compact space","level":2,"score":0.533598005771637},{"id":"https://openalex.org/C91765299","wikidata":"https://www.wikidata.org/wiki/Q3424292","display_name":"Lagrangian relaxation","level":2,"score":0.52641361951828},{"id":"https://openalex.org/C53469067","wikidata":"https://www.wikidata.org/wiki/Q505735","display_name":"Lagrangian","level":2,"score":0.517663300037384},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.4807164967060089},{"id":"https://openalex.org/C2780394207","wikidata":"https://www.wikidata.org/wiki/Q7449304","display_name":"Semi-infinite programming","level":3,"score":0.47323334217071533},{"id":"https://openalex.org/C124584101","wikidata":"https://www.wikidata.org/wiki/Q1053266","display_name":"Multiplier (economics)","level":2,"score":0.4478309750556946},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4241042733192444},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.42400991916656494},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3067653179168701},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.1144077479839325},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.09277626872062683},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C139719470","wikidata":"https://www.wikidata.org/wiki/Q39680","display_name":"Macroeconomics","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/s10957-017-1091-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10957-017-1091-6","pdf_url":null,"source":{"id":"https://openalex.org/S52430896","display_name":"Journal of Optimization Theory and Applications","issn_l":"0022-3239","issn":["0022-3239","1573-2878"],"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":"Journal of Optimization Theory and Applications","raw_type":"journal-article"},{"id":"pmh:oai:urm_publish:9916119998401831","is_oa":false,"landing_page_url":"https://find.library.unisa.edu.au/discovery/fulldisplay/alma9916119998401831/61USOUTHAUS_INST:ROR","pdf_url":null,"source":{"id":"https://openalex.org/S4306402528","display_name":"UniSA Research Outputs Repository (University of South Australia)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I170239107","host_organization_name":"University of South Australia","host_organization_lineage":["https://openalex.org/I170239107"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},{"id":"pmh:oai:RePEc:spr:joptap:v:173:y:2017:i:2:d:10.1007_s10957-017-1091-6","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s10957-017-1091-6","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"},{"id":"pmh:oai:ira.lib.polyu.edu.hk:10397/68643","is_oa":false,"landing_page_url":"http://hdl.handle.net/10397/68643","pdf_url":null,"source":{"id":"https://openalex.org/S4306400205","display_name":"PolyU Institutional Research Archive (Hong Kong Polytechnic University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I14243506","host_organization_name":"Hong Kong Polytechnic University","host_organization_lineage":["https://openalex.org/I14243506"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Article","raw_type":"Journal/Magazine Article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":36,"referenced_works":["https://openalex.org/W75278000","https://openalex.org/W83112366","https://openalex.org/W137390859","https://openalex.org/W177890044","https://openalex.org/W1514382660","https://openalex.org/W1551360398","https://openalex.org/W1601741115","https://openalex.org/W1970946112","https://openalex.org/W1975993600","https://openalex.org/W1979028018","https://openalex.org/W1984850688","https://openalex.org/W1985514811","https://openalex.org/W1995417959","https://openalex.org/W2003140178","https://openalex.org/W2008832947","https://openalex.org/W2014001084","https://openalex.org/W2024440973","https://openalex.org/W2025674539","https://openalex.org/W2037091587","https://openalex.org/W2049355922","https://openalex.org/W2052431132","https://openalex.org/W2057366835","https://openalex.org/W2057624533","https://openalex.org/W2062536941","https://openalex.org/W2075887074","https://openalex.org/W2083365247","https://openalex.org/W2089447917","https://openalex.org/W2107465205","https://openalex.org/W2133374626","https://openalex.org/W2152429721","https://openalex.org/W2171502450","https://openalex.org/W2787523326","https://openalex.org/W4205551384","https://openalex.org/W4234534407","https://openalex.org/W4249513058","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W3207854495","https://openalex.org/W2915353907","https://openalex.org/W3017943474","https://openalex.org/W3105202832","https://openalex.org/W2964273022","https://openalex.org/W2519328684","https://openalex.org/W4292352742","https://openalex.org/W2594910400","https://openalex.org/W2058578573","https://openalex.org/W4317581747"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":2}],"updated_date":"2026-06-17T08:01:34.144755","created_date":"2017-03-16T00:00:00"}