{"id":"https://openalex.org/W2559302081","doi":"https://doi.org/10.1007/s10957-016-1029-4","title":"Separation Functions and Optimality Conditions in Vector Optimization","display_name":"Separation Functions and Optimality Conditions in Vector Optimization","publication_year":2016,"publication_date":"2016-11-28","ids":{"openalex":"https://openalex.org/W2559302081","doi":"https://doi.org/10.1007/s10957-016-1029-4","mag":"2559302081"},"language":"en","primary_location":{"id":"doi:10.1007/s10957-016-1029-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10957-016-1029-4","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/A5033684966","display_name":"Manxue You","orcid":"https://orcid.org/0000-0001-8787-375X"},"institutions":[{"id":"https://openalex.org/I158842170","display_name":"Chongqing University","ror":"https://ror.org/023rhb549","country_code":"CN","type":"education","lineage":["https://openalex.org/I158842170"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Manxue You","raw_affiliation_strings":["College of Mathematics and Statistics, Chongqing University, Chongqing, 401331, China","College of Mathematics and Statistics, Chongqing University, Chongqing, China"],"affiliations":[{"raw_affiliation_string":"College of Mathematics and Statistics, Chongqing University, Chongqing, 401331, China","institution_ids":["https://openalex.org/I158842170"]},{"raw_affiliation_string":"College of Mathematics and Statistics, Chongqing University, Chongqing, China","institution_ids":["https://openalex.org/I158842170"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5111597009","display_name":"Shengjie Li","orcid":null},"institutions":[{"id":"https://openalex.org/I158842170","display_name":"Chongqing University","ror":"https://ror.org/023rhb549","country_code":"CN","type":"education","lineage":["https://openalex.org/I158842170"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Shengjie Li","raw_affiliation_strings":["College of Mathematics and Statistics, Chongqing University, Chongqing, 401331, China","College of Mathematics and Statistics, Chongqing University, Chongqing, China"],"affiliations":[{"raw_affiliation_string":"College of Mathematics and Statistics, Chongqing University, Chongqing, 401331, China","institution_ids":["https://openalex.org/I158842170"]},{"raw_affiliation_string":"College of Mathematics and Statistics, Chongqing University, Chongqing, China","institution_ids":["https://openalex.org/I158842170"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5111597009"],"corresponding_institution_ids":["https://openalex.org/I158842170"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":1.8093,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.87277844,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":97},"biblio":{"volume":"175","issue":"2","first_page":"527","last_page":"544"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":1.0,"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":1.0,"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":0.9973000288009644,"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/T11777","display_name":"Fixed Point Theorems Analysis","score":0.9901000261306763,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8397618532180786},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.8359901905059814},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.6084597706794739},{"id":"https://openalex.org/keywords/lagrangian","display_name":"Lagrangian","score":0.5910037755966187},{"id":"https://openalex.org/keywords/vector-optimization","display_name":"Vector optimization","score":0.5706140995025635},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5241779685020447},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5099414587020874},{"id":"https://openalex.org/keywords/nonlinear-programming","display_name":"Nonlinear programming","score":0.4709053039550781},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.46012353897094727},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.45064693689346313},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.4275117814540863},{"id":"https://openalex.org/keywords/lagrangian-relaxation","display_name":"Lagrangian relaxation","score":0.42149603366851807},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.41972485184669495},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.13202998042106628},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.12760353088378906},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.06462764739990234}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8397618532180786},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.8359901905059814},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.6084597706794739},{"id":"https://openalex.org/C53469067","wikidata":"https://www.wikidata.org/wiki/Q505735","display_name":"Lagrangian","level":2,"score":0.5910037755966187},{"id":"https://openalex.org/C164088818","wikidata":"https://www.wikidata.org/wiki/Q7917833","display_name":"Vector optimization","level":4,"score":0.5706140995025635},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5241779685020447},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5099414587020874},{"id":"https://openalex.org/C115527620","wikidata":"https://www.wikidata.org/wiki/Q769909","display_name":"Nonlinear programming","level":3,"score":0.4709053039550781},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.46012353897094727},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.45064693689346313},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.4275117814540863},{"id":"https://openalex.org/C91765299","wikidata":"https://www.wikidata.org/wiki/Q3424292","display_name":"Lagrangian relaxation","level":2,"score":0.42149603366851807},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.41972485184669495},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.13202998042106628},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.12760353088378906},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.06462764739990234},{"id":"https://openalex.org/C122357587","wikidata":"https://www.wikidata.org/wiki/Q6934508","display_name":"Multi-swarm optimization","level":3,"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10957-016-1029-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10957-016-1029-4","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:175:y:2017:i:2:d:10.1007_s10957-016-1029-4","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s10957-016-1029-4","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":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W181537837","https://openalex.org/W632378324","https://openalex.org/W2029549754","https://openalex.org/W2037626937","https://openalex.org/W2039150338","https://openalex.org/W2048057532","https://openalex.org/W2048349057","https://openalex.org/W2056023144","https://openalex.org/W2057428699","https://openalex.org/W2059056599","https://openalex.org/W2059819725","https://openalex.org/W2084462821","https://openalex.org/W2087048059","https://openalex.org/W2088807200","https://openalex.org/W2094814001","https://openalex.org/W2094964517","https://openalex.org/W2129483034","https://openalex.org/W2143373014","https://openalex.org/W2153015072","https://openalex.org/W2291051718","https://openalex.org/W2478963760","https://openalex.org/W2952305645","https://openalex.org/W4235851924","https://openalex.org/W4254238256","https://openalex.org/W4255667420"],"related_works":["https://openalex.org/W3149469165","https://openalex.org/W2146044547","https://openalex.org/W4313484281","https://openalex.org/W4383905034","https://openalex.org/W181997498","https://openalex.org/W1984467068","https://openalex.org/W2027845496","https://openalex.org/W3126007678","https://openalex.org/W2138511311","https://openalex.org/W2170308554"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":3}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}