{"id":"https://openalex.org/W2030967943","doi":"https://doi.org/10.1007/s10898-012-9861-z","title":"Higher-order optimality conditions in set-valued optimization using radial sets and radial derivatives","display_name":"Higher-order optimality conditions in set-valued optimization using radial sets and radial derivatives","publication_year":2012,"publication_date":"2012-02-04","ids":{"openalex":"https://openalex.org/W2030967943","doi":"https://doi.org/10.1007/s10898-012-9861-z","mag":"2030967943"},"language":"en","primary_location":{"id":"doi:10.1007/s10898-012-9861-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10898-012-9861-z","pdf_url":null,"source":{"id":"https://openalex.org/S115925768","display_name":"Journal of Global Optimization","issn_l":"0925-5001","issn":["0925-5001","1573-2916"],"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 Global Optimization","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/A5107901983","display_name":"Nguyen Le Hoang Anh","orcid":null},"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"]}],"countries":["VN"],"is_corresponding":true,"raw_author_name":"Nguyen Le Hoang Anh","raw_affiliation_strings":["Department of Mathematics, University of Science of Hochiminh City, 227 Nguyen Van Cu, District 5, Hochiminh City, Vietnam","Department of Mathematics, University of Science of Hochiminh City, Hochiminh City, Vietnam#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Science of Hochiminh City, 227 Nguyen Van Cu, District 5, Hochiminh City, Vietnam","institution_ids":["https://openalex.org/I23582244"]},{"raw_affiliation_string":"Department of Mathematics, University of Science of Hochiminh City, Hochiminh City, Vietnam#TAB#","institution_ids":["https://openalex.org/I23582244"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5059731357","display_name":"Phan Qu\u1ed1c Kh\u00e1nh","orcid":"https://orcid.org/0000-0002-0524-0498"},"institutions":[{"id":"https://openalex.org/I228151691","display_name":"Ho Chi Minh City International University","ror":"https://ror.org/003szmg30","country_code":"VN","type":"education","lineage":["https://openalex.org/I123565023","https://openalex.org/I228151691"]},{"id":"https://openalex.org/I883909435","display_name":"International University","ror":"https://ror.org/02knr1992","country_code":"KH","type":"education","lineage":["https://openalex.org/I883909435"]}],"countries":["KH","VN"],"is_corresponding":false,"raw_author_name":"Phan Quoc Khanh","raw_affiliation_strings":["Department of Mathematics, International University of Hochiminh City, Linh Trung, Thu Duc, Hochiminh City, Vietnam","Department of Mathematics, International University of Hochiminh City, Hochiminh City, Vietnam#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, International University of Hochiminh City, Linh Trung, Thu Duc, Hochiminh City, Vietnam","institution_ids":["https://openalex.org/I228151691"]},{"raw_affiliation_string":"Department of Mathematics, International University of Hochiminh City, Hochiminh City, Vietnam#TAB#","institution_ids":["https://openalex.org/I883909435"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5107901983"],"corresponding_institution_ids":["https://openalex.org/I23582244"],"apc_list":{"value":2190,"currency":"EUR","value_usd":2780},"apc_paid":null,"fwci":2.4355,"has_fulltext":false,"cited_by_count":37,"citation_normalized_percentile":{"value":0.88909729,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"56","issue":"2","first_page":"519","last_page":"536"},"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":0.9973999857902527,"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":0.9763000011444092,"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/mathematics","display_name":"Mathematics","score":0.8656343221664429},{"id":"https://openalex.org/keywords/convexity","display_name":"Convexity","score":0.7594079971313477},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.6201427578926086},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.608879566192627},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5359562039375305},{"id":"https://openalex.org/keywords/vector-optimization","display_name":"Vector optimization","score":0.4886615574359894},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.4505612254142761},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3638894855976105},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.091615229845047},{"id":"https://openalex.org/keywords/multi-swarm-optimization","display_name":"Multi-swarm optimization","score":0.05537867546081543}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8656343221664429},{"id":"https://openalex.org/C72134830","wikidata":"https://www.wikidata.org/wiki/Q5166524","display_name":"Convexity","level":2,"score":0.7594079971313477},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.6201427578926086},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.608879566192627},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5359562039375305},{"id":"https://openalex.org/C164088818","wikidata":"https://www.wikidata.org/wiki/Q7917833","display_name":"Vector optimization","level":4,"score":0.4886615574359894},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.4505612254142761},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3638894855976105},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.091615229845047},{"id":"https://openalex.org/C122357587","wikidata":"https://www.wikidata.org/wiki/Q6934508","display_name":"Multi-swarm optimization","level":3,"score":0.05537867546081543},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C106159729","wikidata":"https://www.wikidata.org/wiki/Q2294553","display_name":"Financial economics","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/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10898-012-9861-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10898-012-9861-z","pdf_url":null,"source":{"id":"https://openalex.org/S115925768","display_name":"Journal of Global Optimization","issn_l":"0925-5001","issn":["0925-5001","1573-2916"],"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 Global Optimization","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:spr:jglopt:v:56:y:2013:i:2:p:519-536","is_oa":false,"landing_page_url":"http://hdl.handle.net/10.1007/s10898-012-9861-z","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":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W205925530","https://openalex.org/W417516028","https://openalex.org/W1967571778","https://openalex.org/W1967764519","https://openalex.org/W1990023680","https://openalex.org/W1995037108","https://openalex.org/W2013780280","https://openalex.org/W2016229739","https://openalex.org/W2018775338","https://openalex.org/W2027200819","https://openalex.org/W2040205564","https://openalex.org/W2045552614","https://openalex.org/W2049655642","https://openalex.org/W2050510066","https://openalex.org/W2050928938","https://openalex.org/W2055466003","https://openalex.org/W2057088466","https://openalex.org/W2059535700","https://openalex.org/W2070088208","https://openalex.org/W2070149319","https://openalex.org/W2071192910","https://openalex.org/W2072696481","https://openalex.org/W2077581281","https://openalex.org/W2093020024","https://openalex.org/W2139156706","https://openalex.org/W2139548281","https://openalex.org/W2153562582","https://openalex.org/W2484712261","https://openalex.org/W4285719527","https://openalex.org/W6604444065"],"related_works":["https://openalex.org/W2565276936","https://openalex.org/W2766340440","https://openalex.org/W4385713703","https://openalex.org/W2126999288","https://openalex.org/W2281994979","https://openalex.org/W109016340","https://openalex.org/W188711498","https://openalex.org/W2390455111","https://openalex.org/W3199277564","https://openalex.org/W2184300223"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":6},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":4}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2016-06-24T00:00:00"}