{"id":"https://openalex.org/W3120872561","doi":"https://doi.org/10.1007/s11590-020-01681-1","title":"Second order variational analysis of disjunctive constraint sets and its applications to optimization problems","display_name":"Second order variational analysis of disjunctive constraint sets and its applications to optimization problems","publication_year":2021,"publication_date":"2021-01-06","ids":{"openalex":"https://openalex.org/W3120872561","doi":"https://doi.org/10.1007/s11590-020-01681-1","mag":"3120872561"},"language":"en","primary_location":{"id":"doi:10.1007/s11590-020-01681-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11590-020-01681-1","pdf_url":null,"source":{"id":"https://openalex.org/S12647387","display_name":"Optimization Letters","issn_l":"1862-4472","issn":["1862-4472","1862-4480"],"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":"Optimization Letters","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/A5006786959","display_name":"Vo Duc Thinh","orcid":"https://orcid.org/0000-0002-0094-3573"},"institutions":[{"id":"https://openalex.org/I23582244","display_name":"Ho Chi Minh City University of Science","ror":"https://ror.org/05jfbgm49","country_code":"VN","type":"education","lineage":["https://openalex.org/I123565023","https://openalex.org/I23582244"]},{"id":"https://openalex.org/I123565023","display_name":"Vietnam National University Ho Chi Minh City","ror":"https://ror.org/00waaqh38","country_code":"VN","type":"education","lineage":["https://openalex.org/I123565023"]},{"id":"https://openalex.org/I4210160086","display_name":"Dong Thap University","ror":"https://ror.org/05h7nhz20","country_code":"VN","type":"education","lineage":["https://openalex.org/I4210160086"]}],"countries":["VN"],"is_corresponding":false,"raw_author_name":"V. D. Thinh","raw_affiliation_strings":["Department of Mathematics Teacher Education, Dong Thap University, Cao L\u00e3nh, Dong Thap Province, Vietnam","Department of Optimization and System Theory, University of Science, Ho Chi Minh City, Vietnam","Vietnam National University, Ho Chi Minh City, Vietnam"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics Teacher Education, Dong Thap University, Cao L\u00e3nh, Dong Thap Province, Vietnam","institution_ids":["https://openalex.org/I4210160086"]},{"raw_affiliation_string":"Department of Optimization and System Theory, University of Science, Ho Chi Minh City, Vietnam","institution_ids":["https://openalex.org/I23582244"]},{"raw_affiliation_string":"Vietnam National University, Ho Chi Minh City, Vietnam","institution_ids":["https://openalex.org/I123565023"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5024668916","display_name":"Th\u00e1i Do\u00e3n Ch\u01b0\u01a1ng","orcid":"https://orcid.org/0000-0003-0893-5604"},"institutions":[{"id":"https://openalex.org/I47807185","display_name":"Saigon University","ror":"https://ror.org/01f1fsr30","country_code":"VN","type":"education","lineage":["https://openalex.org/I47807185"]},{"id":"https://openalex.org/I149704539","display_name":"Deakin University","ror":"https://ror.org/02czsnj07","country_code":"AU","type":"education","lineage":["https://openalex.org/I149704539"]}],"countries":["AU","VN"],"is_corresponding":true,"raw_author_name":"T. D. Chuong","raw_affiliation_strings":["Department of Mathematics and Applications, Saigon University, 273 An Duong Vuong Street, Ward 3, District 5, Ho Chi Minh City, Vietnam","School of Information Technology, Deakin University, Burwood VIC, Australia"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Applications, Saigon University, 273 An Duong Vuong Street, Ward 3, District 5, Ho Chi Minh City, Vietnam","institution_ids":["https://openalex.org/I47807185"]},{"raw_affiliation_string":"School of Information Technology, Deakin University, Burwood VIC, Australia","institution_ids":["https://openalex.org/I149704539"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5107901983","display_name":"Nguyen Le Hoang Anh","orcid":null},"institutions":[{"id":"https://openalex.org/I123565023","display_name":"Vietnam National University Ho Chi Minh City","ror":"https://ror.org/00waaqh38","country_code":"VN","type":"education","lineage":["https://openalex.org/I123565023"]},{"id":"https://openalex.org/I23582244","display_name":"Ho Chi Minh City University of Science","ror":"https://ror.org/05jfbgm49","country_code":"VN","type":"education","lineage":["https://openalex.org/I123565023","https://openalex.org/I23582244"]}],"countries":["VN"],"is_corresponding":false,"raw_author_name":"N. L. H. Anh","raw_affiliation_strings":["Department of Optimization and System Theory, University of Science, Ho Chi Minh City, Vietnam","Vietnam National University, Ho Chi Minh City, Vietnam"],"affiliations":[{"raw_affiliation_string":"Department of Optimization and System Theory, University of Science, Ho Chi Minh City, Vietnam","institution_ids":["https://openalex.org/I23582244"]},{"raw_affiliation_string":"Vietnam National University, Ho Chi Minh City, Vietnam","institution_ids":["https://openalex.org/I123565023"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5024668916"],"corresponding_institution_ids":["https://openalex.org/I149704539","https://openalex.org/I47807185"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.3014,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.58372988,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":"15","issue":"6","first_page":"2201","last_page":"2224"},"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":0.9923999905586243,"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":0.9638000130653381,"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/constraint","display_name":"Constraint (computer-aided design)","score":0.7067500948905945},{"id":"https://openalex.org/keywords/differentiable-function","display_name":"Differentiable function","score":0.7041895389556885},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6660639643669128},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.6235286593437195},{"id":"https://openalex.org/keywords/computational-intelligence","display_name":"Computational intelligence","score":0.6159375905990601},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5443680882453918},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5162239074707031},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4825800955295563},{"id":"https://openalex.org/keywords/variational-analysis","display_name":"Variational analysis","score":0.4155791997909546},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3218391537666321},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.27154475450515747},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.20398536324501038},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.12552213668823242}],"concepts":[{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.7067500948905945},{"id":"https://openalex.org/C202615002","wikidata":"https://www.wikidata.org/wiki/Q783507","display_name":"Differentiable function","level":2,"score":0.7041895389556885},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6660639643669128},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.6235286593437195},{"id":"https://openalex.org/C139502532","wikidata":"https://www.wikidata.org/wiki/Q1122090","display_name":"Computational intelligence","level":2,"score":0.6159375905990601},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5443680882453918},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5162239074707031},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4825800955295563},{"id":"https://openalex.org/C523394659","wikidata":"https://www.wikidata.org/wiki/Q17086892","display_name":"Variational analysis","level":2,"score":0.4155791997909546},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3218391537666321},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.27154475450515747},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.20398536324501038},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.12552213668823242},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11590-020-01681-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11590-020-01681-1","pdf_url":null,"source":{"id":"https://openalex.org/S12647387","display_name":"Optimization Letters","issn_l":"1862-4472","issn":["1862-4472","1862-4480"],"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":"Optimization Letters","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10","score":0.4000000059604645}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":37,"referenced_works":["https://openalex.org/W638016179","https://openalex.org/W1511503348","https://openalex.org/W1601741115","https://openalex.org/W1963675374","https://openalex.org/W1964090995","https://openalex.org/W1983992634","https://openalex.org/W2000498371","https://openalex.org/W2002371412","https://openalex.org/W2031840936","https://openalex.org/W2033316062","https://openalex.org/W2037078111","https://openalex.org/W2037678919","https://openalex.org/W2040164128","https://openalex.org/W2091876238","https://openalex.org/W2102686659","https://openalex.org/W2138849538","https://openalex.org/W2153562582","https://openalex.org/W2189118132","https://openalex.org/W2285572974","https://openalex.org/W2400882848","https://openalex.org/W2481121431","https://openalex.org/W2525178759","https://openalex.org/W2553174903","https://openalex.org/W2562976915","https://openalex.org/W2578142987","https://openalex.org/W2625682516","https://openalex.org/W2771466412","https://openalex.org/W2899082206","https://openalex.org/W2945144011","https://openalex.org/W2972051521","https://openalex.org/W2981523039","https://openalex.org/W2994457221","https://openalex.org/W3005131591","https://openalex.org/W3081205036","https://openalex.org/W3100765371","https://openalex.org/W3157341860","https://openalex.org/W4249513058"],"related_works":["https://openalex.org/W4285277090","https://openalex.org/W4327738859","https://openalex.org/W2348722996","https://openalex.org/W2334570605","https://openalex.org/W3181683615","https://openalex.org/W4286826125","https://openalex.org/W1633485514","https://openalex.org/W1980454230","https://openalex.org/W1173126513","https://openalex.org/W2519041334"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}