{"id":"https://openalex.org/W2512316777","doi":"https://doi.org/10.1007/s10957-016-1003-1","title":"Duality Theorems for Separable Convex Programming Without Qualifications","display_name":"Duality Theorems for Separable Convex Programming Without Qualifications","publication_year":2016,"publication_date":"2016-08-29","ids":{"openalex":"https://openalex.org/W2512316777","doi":"https://doi.org/10.1007/s10957-016-1003-1","mag":"2512316777"},"language":"en","primary_location":{"id":"doi:10.1007/s10957-016-1003-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10957-016-1003-1","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/A5103055800","display_name":"Satoshi Suzuki","orcid":"https://orcid.org/0000-0003-1341-2808"},"institutions":[{"id":"https://openalex.org/I169016828","display_name":"Shimane University","ror":"https://ror.org/01jaaym28","country_code":"JP","type":"education","lineage":["https://openalex.org/I169016828"]},{"id":"https://openalex.org/I3129591023","display_name":"University of Shimane","ror":"https://ror.org/04m42eq84","country_code":"JP","type":"education","lineage":["https://openalex.org/I3129591023"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Satoshi Suzuki","raw_affiliation_strings":["Department of Mathematics, Shimane University, Matsue, Shimane, Japan","Department of Mathematics, Shimane University, Matsue, Japan"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Shimane University, Matsue, Shimane, Japan","institution_ids":["https://openalex.org/I3129591023","https://openalex.org/I169016828"]},{"raw_affiliation_string":"Department of Mathematics, Shimane University, Matsue, Japan","institution_ids":["https://openalex.org/I169016828"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5046487937","display_name":"Daishi Kuroiwa","orcid":null},"institutions":[{"id":"https://openalex.org/I169016828","display_name":"Shimane University","ror":"https://ror.org/01jaaym28","country_code":"JP","type":"education","lineage":["https://openalex.org/I169016828"]},{"id":"https://openalex.org/I3129591023","display_name":"University of Shimane","ror":"https://ror.org/04m42eq84","country_code":"JP","type":"education","lineage":["https://openalex.org/I3129591023"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Daishi Kuroiwa","raw_affiliation_strings":["Department of Mathematics, Shimane University, Matsue, Shimane, Japan","Department of Mathematics, Shimane University, Matsue, Japan"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Shimane University, Matsue, Shimane, Japan","institution_ids":["https://openalex.org/I3129591023","https://openalex.org/I169016828"]},{"raw_affiliation_string":"Department of Mathematics, Shimane University, Matsue, Japan","institution_ids":["https://openalex.org/I169016828"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5103055800"],"corresponding_institution_ids":["https://openalex.org/I169016828","https://openalex.org/I3129591023"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.7191,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.75722078,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"172","issue":"2","first_page":"669","last_page":"683"},"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":0.9994000196456909,"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/T12288","display_name":"Optimization and Search Problems","score":0.9854000210762024,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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":0.7483068704605103},{"id":"https://openalex.org/keywords/duality","display_name":"Duality (order theory)","score":0.6624700427055359},{"id":"https://openalex.org/keywords/convex-analysis","display_name":"Convex analysis","score":0.6017318367958069},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.5185423493385315},{"id":"https://openalex.org/keywords/quasiconvex-function","display_name":"Quasiconvex function","score":0.5174242258071899},{"id":"https://openalex.org/keywords/lagrange-multiplier","display_name":"Lagrange multiplier","score":0.47810739278793335},{"id":"https://openalex.org/keywords/separable-space","display_name":"Separable space","score":0.4559231102466583},{"id":"https://openalex.org/keywords/duality-gap","display_name":"Duality gap","score":0.4455632269382477},{"id":"https://openalex.org/keywords/weak-duality","display_name":"Weak duality","score":0.43228620290756226},{"id":"https://openalex.org/keywords/perturbation-function","display_name":"Perturbation function","score":0.4280489385128021},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3656734526157379},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.32642680406570435},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.2873901426792145},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.19140365719795227},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.136051744222641}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7483068704605103},{"id":"https://openalex.org/C2778023678","wikidata":"https://www.wikidata.org/wiki/Q554403","display_name":"Duality (order theory)","level":2,"score":0.6624700427055359},{"id":"https://openalex.org/C12108790","wikidata":"https://www.wikidata.org/wiki/Q2234833","display_name":"Convex analysis","level":4,"score":0.6017318367958069},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.5185423493385315},{"id":"https://openalex.org/C80278974","wikidata":"https://www.wikidata.org/wiki/Q1126412","display_name":"Quasiconvex function","level":5,"score":0.5174242258071899},{"id":"https://openalex.org/C73684929","wikidata":"https://www.wikidata.org/wiki/Q598870","display_name":"Lagrange multiplier","level":2,"score":0.47810739278793335},{"id":"https://openalex.org/C70710897","wikidata":"https://www.wikidata.org/wiki/Q680081","display_name":"Separable space","level":2,"score":0.4559231102466583},{"id":"https://openalex.org/C5274546","wikidata":"https://www.wikidata.org/wiki/Q5310264","display_name":"Duality gap","level":3,"score":0.4455632269382477},{"id":"https://openalex.org/C80682859","wikidata":"https://www.wikidata.org/wiki/Q7977943","display_name":"Weak duality","level":4,"score":0.43228620290756226},{"id":"https://openalex.org/C102144036","wikidata":"https://www.wikidata.org/wiki/Q7170952","display_name":"Perturbation function","level":5,"score":0.4280489385128021},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3656734526157379},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.32642680406570435},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.2873901426792145},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.19140365719795227},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.136051744222641},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10957-016-1003-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10957-016-1003-1","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:RePEc:spr:joptap:v:172:y:2017:i:2:d:10.1007_s10957-016-1003-1","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s10957-016-1003-1","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":[{"id":"https://openalex.org/G162199604","display_name":null,"funder_award_id":"25400205","funder_id":"https://openalex.org/F4320334764","funder_display_name":"Japan Society for the Promotion of Science"},{"id":"https://openalex.org/G8017915846","display_name":null,"funder_award_id":"15K17588","funder_id":"https://openalex.org/F4320334764","funder_display_name":"Japan Society for the Promotion of Science"}],"funders":[{"id":"https://openalex.org/F4320334764","display_name":"Japan Society for the Promotion of Science","ror":"https://ror.org/00hhkn466"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W1987623670","https://openalex.org/W1998988522","https://openalex.org/W2007257992","https://openalex.org/W2011529109","https://openalex.org/W2021281641","https://openalex.org/W2029127661","https://openalex.org/W2033930023","https://openalex.org/W2043483408","https://openalex.org/W2057938832","https://openalex.org/W2062662841","https://openalex.org/W2062932190","https://openalex.org/W2064099700","https://openalex.org/W2068436216","https://openalex.org/W2073980809","https://openalex.org/W2081453379","https://openalex.org/W2092061595","https://openalex.org/W2092191703"],"related_works":["https://openalex.org/W2089042254","https://openalex.org/W3007924051","https://openalex.org/W2325192077","https://openalex.org/W2963031829","https://openalex.org/W2004870506","https://openalex.org/W3125495156","https://openalex.org/W4233192371","https://openalex.org/W1920616923","https://openalex.org/W2423508375","https://openalex.org/W31617861"],"abstract_inverted_index":null,"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}