{"id":"https://openalex.org/W4408975350","doi":"https://doi.org/10.1007/s10957-025-02635-2","title":"Regular Subgradients of Marginal Functions with Applications to Calculus and Bilevel Programming","display_name":"Regular Subgradients of Marginal Functions with Applications to Calculus and Bilevel Programming","publication_year":2025,"publication_date":"2025-03-27","ids":{"openalex":"https://openalex.org/W4408975350","doi":"https://doi.org/10.1007/s10957-025-02635-2"},"language":"en","primary_location":{"id":"doi:10.1007/s10957-025-02635-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10957-025-02635-2","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/A5037067047","display_name":"Le Phuoc Hai","orcid":"https://orcid.org/0000-0001-9003-3292"},"institutions":[{"id":"https://openalex.org/I185652977","display_name":"University of Tarapac\u00e1","ror":"https://ror.org/04xe01d27","country_code":"CL","type":"education","lineage":["https://openalex.org/I185652977"]}],"countries":["CL"],"is_corresponding":false,"raw_author_name":"Le Phuoc Hai","raw_affiliation_strings":["Instituto de Alta Investigaci\u00f3n (IAI), Universidad de Tarapac\u00e1, Arica, Chile"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Instituto de Alta Investigaci\u00f3n (IAI), Universidad de Tarapac\u00e1, Arica, Chile","institution_ids":["https://openalex.org/I185652977"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5032810035","display_name":"Felipe Lara","orcid":"https://orcid.org/0000-0002-9965-0921"},"institutions":[{"id":"https://openalex.org/I185652977","display_name":"University of Tarapac\u00e1","ror":"https://ror.org/04xe01d27","country_code":"CL","type":"education","lineage":["https://openalex.org/I185652977"]}],"countries":["CL"],"is_corresponding":true,"raw_author_name":"Felipe Lara","raw_affiliation_strings":["Instituto de Alta Investigaci\u00f3n (IAI), Universidad de Tarapac\u00e1, Arica, Chile"],"raw_orcid":"https://orcid.org/0000-0002-9965-0921","affiliations":[{"raw_affiliation_string":"Instituto de Alta Investigaci\u00f3n (IAI), Universidad de Tarapac\u00e1, Arica, Chile","institution_ids":["https://openalex.org/I185652977"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5066241737","display_name":"Boris S. Mordukhovich","orcid":"https://orcid.org/0000-0002-6071-6049"},"institutions":[{"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"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Boris S. Mordukhovich","raw_affiliation_strings":["Department of Mathematics, Wayne State University, Detroit, MI, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Wayne State University, Detroit, MI, USA","institution_ids":["https://openalex.org/I185443292"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5032810035"],"corresponding_institution_ids":["https://openalex.org/I185652977"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.06470096,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"205","issue":"2","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9997000098228455,"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":0.9997000098228455,"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":0.9965999722480774,"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":0.9923999905586243,"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":0.830182671546936},{"id":"https://openalex.org/keywords/bilevel-optimization","display_name":"Bilevel optimization","score":0.7443299293518066},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.6344608068466187},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.5623349547386169},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4516807794570923},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3916313350200653},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.34312739968299866},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2319125533103943},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.16732800006866455},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.15988165140151978},{"id":"https://openalex.org/keywords/medicine","display_name":"Medicine","score":0.09503042697906494},{"id":"https://openalex.org/keywords/orthodontics","display_name":"Orthodontics","score":0.08971139788627625}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.830182671546936},{"id":"https://openalex.org/C3309286","wikidata":"https://www.wikidata.org/wiki/Q4907693","display_name":"Bilevel optimization","level":3,"score":0.7443299293518066},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.6344608068466187},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.5623349547386169},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4516807794570923},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3916313350200653},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.34312739968299866},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2319125533103943},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.16732800006866455},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.15988165140151978},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.09503042697906494},{"id":"https://openalex.org/C29694066","wikidata":"https://www.wikidata.org/wiki/Q118301","display_name":"Orthodontics","level":1,"score":0.08971139788627625}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10957-025-02635-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10957-025-02635-2","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:205:y:2025:i:2:d:10.1007_s10957-025-02635-2","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s10957-025-02635-2","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/G7234939700","display_name":"Innovations in sparse optimisation: big data nonsmooth optimisation","funder_award_id":"DP190100555","funder_id":"https://openalex.org/F4320334704","funder_display_name":"Australian Research Council"},{"id":"https://openalex.org/G8086625396","display_name":null,"funder_award_id":"DMS-2204519","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320334704","display_name":"Australian Research Council","ror":"https://ror.org/05mmh0f86"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W27545560","https://openalex.org/W591794949","https://openalex.org/W1528330203","https://openalex.org/W1983644172","https://openalex.org/W2020216931","https://openalex.org/W2034550534","https://openalex.org/W2036672166","https://openalex.org/W2051943091","https://openalex.org/W2055448128","https://openalex.org/W2057578212","https://openalex.org/W2079252788","https://openalex.org/W2102686659","https://openalex.org/W2150140216","https://openalex.org/W2290613922","https://openalex.org/W2314779162","https://openalex.org/W2496276084","https://openalex.org/W2885473730","https://openalex.org/W2956202125","https://openalex.org/W3086329158","https://openalex.org/W3118887392","https://openalex.org/W3170463814","https://openalex.org/W4200010650","https://openalex.org/W4205316814","https://openalex.org/W4220970685","https://openalex.org/W4226077233","https://openalex.org/W4248891727","https://openalex.org/W4249513058","https://openalex.org/W4381376944","https://openalex.org/W4398187116"],"related_works":["https://openalex.org/W3171709385","https://openalex.org/W4318070895","https://openalex.org/W3157915181","https://openalex.org/W4401134013","https://openalex.org/W2896140431","https://openalex.org/W1536852012","https://openalex.org/W3015956618","https://openalex.org/W2091157695","https://openalex.org/W1994436307","https://openalex.org/W2920493340"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-06-22T08:00:12.763002","created_date":"2025-10-10T00:00:00"}