{"id":"https://openalex.org/W2798803384","doi":"https://doi.org/10.1007/s10107-020-01532-y","title":"Existence of efficient and properly efficient solutions to problems of constrained vector optimization","display_name":"Existence of efficient and properly efficient solutions to problems of constrained vector optimization","publication_year":2020,"publication_date":"2020-07-01","ids":{"openalex":"https://openalex.org/W2798803384","doi":"https://doi.org/10.1007/s10107-020-01532-y","mag":"2798803384"},"language":"en","primary_location":{"id":"doi:10.1007/s10107-020-01532-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10107-020-01532-y","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":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1805.00298","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5052482625","display_name":"Do Sang Kim","orcid":"https://orcid.org/0000-0003-4191-2295"},"institutions":[{"id":"https://openalex.org/I8991828","display_name":"Pukyong National University","ror":"https://ror.org/0433kqc49","country_code":"KR","type":"education","lineage":["https://openalex.org/I8991828"]}],"countries":["KR"],"is_corresponding":true,"raw_author_name":"Do Sang Kim","raw_affiliation_strings":["Department of Applied Mathematics, Pukyong National University, Busan, 48513, Republic of Korea"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, Pukyong National University, Busan, 48513, Republic of Korea","institution_ids":["https://openalex.org/I8991828"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5066241737","display_name":"Boris S. Mordukhovich","orcid":"https://orcid.org/0000-0002-6071-6049"},"institutions":[{"id":"https://openalex.org/I126527374","display_name":"Peoples' Friendship University of Russia","ror":"https://ror.org/02dn9h927","country_code":"RU","type":"education","lineage":["https://openalex.org/I126527374"]},{"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"]},{"id":"https://openalex.org/I3129897247","display_name":"Russian New University","ror":"https://ror.org/00gj2kk32","country_code":"RU","type":"education","lineage":["https://openalex.org/I3129897247"]}],"countries":["RU","US"],"is_corresponding":false,"raw_author_name":"Boris S. Mordukhovich","raw_affiliation_strings":["Department of Mathematics, Wayne State University, Detroit, MI, 48202, USA","RUDN University, Moscow, Russia, 117198"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Wayne State University, Detroit, MI, 48202, USA","institution_ids":["https://openalex.org/I185443292"]},{"raw_affiliation_string":"RUDN University, Moscow, Russia, 117198","institution_ids":["https://openalex.org/I3129897247","https://openalex.org/I126527374"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5060254053","display_name":"Ti\u1ebfn-S\u01a1n Ph\u1ea1m","orcid":"https://orcid.org/0000-0003-3368-304X"},"institutions":[{"id":"https://openalex.org/I4210101969","display_name":"Dalat University","ror":"https://ror.org/014cke235","country_code":"VN","type":"education","lineage":["https://openalex.org/I4210101969"]}],"countries":["VN"],"is_corresponding":false,"raw_author_name":"Ti\u1ebfn-S\u01a1n Ph\u1ea1m","raw_affiliation_strings":["Department of Mathematics, University of Dalat, 1 Phu Dong Thien Vuong, Dalat, Vietnam"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Dalat, 1 Phu Dong Thien Vuong, Dalat, Vietnam","institution_ids":["https://openalex.org/I4210101969"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5061100646","display_name":"Nguy\u1ec5n V\u0103n Tuy\u00ean","orcid":"https://orcid.org/0000-0003-1920-310X"},"institutions":[{"id":"https://openalex.org/I150229711","display_name":"University of Electronic Science and Technology of China","ror":"https://ror.org/04qr3zq92","country_code":"CN","type":"education","lineage":["https://openalex.org/I150229711"]},{"id":"https://openalex.org/I4210095523","display_name":"Hanoi Pedagogical University 2","ror":"https://ror.org/00st18g74","country_code":"VN","type":"education","lineage":["https://openalex.org/I4210095523"]}],"countries":["CN","VN"],"is_corresponding":false,"raw_author_name":"Nguyen Van Tuyen","raw_affiliation_strings":["Department of Mathematics, Hanoi Pedagogical University 2, Xuan Hoa, Phuc Yen, Vinh Phuc, Vietnam","School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, People\u2019s Republic of China"],"raw_orcid":"https://orcid.org/0000-0003-1920-310X","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Hanoi Pedagogical University 2, Xuan Hoa, Phuc Yen, Vinh Phuc, Vietnam","institution_ids":["https://openalex.org/I4210095523"]},{"raw_affiliation_string":"School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, People\u2019s Republic of China","institution_ids":["https://openalex.org/I150229711"]}]}],"institutions":[],"countries_distinct_count":5,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5052482625"],"corresponding_institution_ids":["https://openalex.org/I8991828"],"apc_list":{"value":2190,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.1445,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.48146794,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"190","issue":"1-2","first_page":"259","last_page":"283"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9922999739646912,"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":0.9922999739646912,"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":0.9429000020027161,"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/T11115","display_name":"Topology Optimization in Engineering","score":0.9090999960899353,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural 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/vector-optimization","display_name":"Vector optimization","score":0.7447699904441833},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.6945914030075073},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6866594552993774},{"id":"https://openalex.org/keywords/verifiable-secret-sharing","display_name":"Verifiable secret sharing","score":0.6564836502075195},{"id":"https://openalex.org/keywords/pareto-efficiency","display_name":"Pareto efficiency","score":0.6104371547698975},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6077666282653809},{"id":"https://openalex.org/keywords/pareto-principle","display_name":"Pareto principle","score":0.5464940071105957},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.540869414806366},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5000724792480469},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.4700792133808136},{"id":"https://openalex.org/keywords/pareto-optimal","display_name":"Pareto optimal","score":0.4274013936519623},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.32568830251693726},{"id":"https://openalex.org/keywords/multi-objective-optimization","display_name":"Multi-objective optimization","score":0.3160496950149536},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.047582387924194336}],"concepts":[{"id":"https://openalex.org/C164088818","wikidata":"https://www.wikidata.org/wiki/Q7917833","display_name":"Vector optimization","level":4,"score":0.7447699904441833},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.6945914030075073},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6866594552993774},{"id":"https://openalex.org/C85847156","wikidata":"https://www.wikidata.org/wiki/Q59015987","display_name":"Verifiable secret sharing","level":3,"score":0.6564836502075195},{"id":"https://openalex.org/C2778599509","wikidata":"https://www.wikidata.org/wiki/Q36829","display_name":"Pareto efficiency","level":3,"score":0.6104371547698975},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6077666282653809},{"id":"https://openalex.org/C137635306","wikidata":"https://www.wikidata.org/wiki/Q182667","display_name":"Pareto principle","level":2,"score":0.5464940071105957},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.540869414806366},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5000724792480469},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.4700792133808136},{"id":"https://openalex.org/C2986314615","wikidata":"https://www.wikidata.org/wiki/Q36829","display_name":"Pareto optimal","level":3,"score":0.4274013936519623},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.32568830251693726},{"id":"https://openalex.org/C68781425","wikidata":"https://www.wikidata.org/wiki/Q2052203","display_name":"Multi-objective optimization","level":2,"score":0.3160496950149536},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.047582387924194336},{"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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/s10107-020-01532-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10107-020-01532-y","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"},{"id":"pmh:oai:arXiv.org:1805.00298","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1805.00298","pdf_url":"https://arxiv.org/pdf/1805.00298","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},{"id":"mag:2798803384","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1805.00298.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.1805.00298","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1805.00298","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1805.00298","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1805.00298","pdf_url":"https://arxiv.org/pdf/1805.00298","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3061928512","display_name":null,"funder_award_id":"101.04-2019.302","funder_id":"https://openalex.org/F4320309617","funder_display_name":"National Foundation for Science and Technology Development"},{"id":"https://openalex.org/G4273038743","display_name":null,"funder_award_id":"NRF-2019R1A2C1008672","funder_id":"https://openalex.org/F4320322120","funder_display_name":"National Research Foundation of Korea"}],"funders":[{"id":"https://openalex.org/F4320309617","display_name":"National Foundation for Science and Technology Development","ror":"https://ror.org/04rw64z44"},{"id":"https://openalex.org/F4320322120","display_name":"National Research Foundation of Korea","ror":"https://ror.org/013aysd81"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W25288802","https://openalex.org/W1491306394","https://openalex.org/W1773666839","https://openalex.org/W1995700855","https://openalex.org/W2003721356","https://openalex.org/W2015936756","https://openalex.org/W2017799496","https://openalex.org/W2045446464","https://openalex.org/W2046288379","https://openalex.org/W2052940567","https://openalex.org/W2063151804","https://openalex.org/W2065704015","https://openalex.org/W2074909374","https://openalex.org/W2083818478","https://openalex.org/W2087003538","https://openalex.org/W2089305205","https://openalex.org/W2139502933","https://openalex.org/W2153015072","https://openalex.org/W2317783333","https://openalex.org/W2405879537","https://openalex.org/W2478963760","https://openalex.org/W2522650850","https://openalex.org/W2557774354","https://openalex.org/W2741838931","https://openalex.org/W2796184855","https://openalex.org/W2885473730","https://openalex.org/W2963066791","https://openalex.org/W4247589361","https://openalex.org/W4249513058","https://openalex.org/W4252722163"],"related_works":["https://openalex.org/W1514685500","https://openalex.org/W2741838931","https://openalex.org/W3201294276","https://openalex.org/W3101528767","https://openalex.org/W2365550625","https://openalex.org/W1543920501","https://openalex.org/W3124851595","https://openalex.org/W2230425907","https://openalex.org/W2044781004","https://openalex.org/W1994688671","https://openalex.org/W2026675048","https://openalex.org/W3049735886","https://openalex.org/W1501511935","https://openalex.org/W2040953139","https://openalex.org/W2040739535","https://openalex.org/W3211187778","https://openalex.org/W129793272","https://openalex.org/W2501463977","https://openalex.org/W1538942503","https://openalex.org/W2573464962"],"abstract_inverted_index":null,"counts_by_year":[{"year":2021,"cited_by_count":1}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}