{"id":"https://openalex.org/W2052822438","doi":"https://doi.org/10.1007/s10957-012-0161-z","title":"New Optimality Conditions for the Semivectorial Bilevel Optimization Problem","display_name":"New Optimality Conditions for the Semivectorial Bilevel Optimization Problem","publication_year":2012,"publication_date":"2012-08-29","ids":{"openalex":"https://openalex.org/W2052822438","doi":"https://doi.org/10.1007/s10957-012-0161-z","mag":"2052822438"},"language":"en","primary_location":{"id":"doi:10.1007/s10957-012-0161-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10957-012-0161-z","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/A5042389109","display_name":"Stephan Dempe","orcid":"https://orcid.org/0000-0001-6344-5152"},"institutions":[{"id":"https://openalex.org/I61893789","display_name":"TU Bergakademie Freiberg","ror":"https://ror.org/031vc2293","country_code":"DE","type":"education","lineage":["https://openalex.org/I61893789"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"S. Dempe","raw_affiliation_strings":["Department of Mathematics and Computer Science, TU Bergakademie Freiberg, Akademiestr. 6, 09596, Freiberg, Germany","TU-Bergakademie Freiberg"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, TU Bergakademie Freiberg, Akademiestr. 6, 09596, Freiberg, Germany","institution_ids":["https://openalex.org/I61893789"]},{"raw_affiliation_string":"TU-Bergakademie Freiberg","institution_ids":["https://openalex.org/I61893789"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5048932469","display_name":"Nazih Abderrazzak Gadhi","orcid":"https://orcid.org/0000-0001-6752-2709"},"institutions":[{"id":"https://openalex.org/I81605866","display_name":"Sidi Mohamed Ben Abdellah University","ror":"https://ror.org/04efg9a07","country_code":"MA","type":"education","lineage":["https://openalex.org/I81605866"]}],"countries":["MA"],"is_corresponding":false,"raw_author_name":"N. Gadhi","raw_affiliation_strings":["Department of Mathematics, Dhar El Mehrez, Sidi Mohamed Ben Abdellah University, Fes, Morocco","Dhar El Mehrez, Sidi Mohamed Ben Abdellah University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Dhar El Mehrez, Sidi Mohamed Ben Abdellah University, Fes, Morocco","institution_ids":["https://openalex.org/I81605866"]},{"raw_affiliation_string":"Dhar El Mehrez, Sidi Mohamed Ben Abdellah University","institution_ids":["https://openalex.org/I81605866"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5035136256","display_name":"Alain B. Zemkoho","orcid":"https://orcid.org/0000-0003-1265-4178"},"institutions":[{"id":"https://openalex.org/I61893789","display_name":"TU Bergakademie Freiberg","ror":"https://ror.org/031vc2293","country_code":"DE","type":"education","lineage":["https://openalex.org/I61893789"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"A. B. Zemkoho","raw_affiliation_strings":["Department of Mathematics and Computer Science, TU Bergakademie Freiberg, Akademiestr. 6, 09596, Freiberg, Germany","TU-Bergakademie Freiberg"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, TU Bergakademie Freiberg, Akademiestr. 6, 09596, Freiberg, Germany","institution_ids":["https://openalex.org/I61893789"]},{"raw_affiliation_string":"TU-Bergakademie Freiberg","institution_ids":["https://openalex.org/I61893789"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5042389109"],"corresponding_institution_ids":["https://openalex.org/I61893789"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":6.2481,"has_fulltext":false,"cited_by_count":69,"citation_normalized_percentile":{"value":0.96882106,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"157","issue":"1","first_page":"54","last_page":"74"},"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":0.9926000237464905,"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":0.9865000247955322,"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/bilevel-optimization","display_name":"Bilevel optimization","score":0.8810890913009644},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7728947401046753},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.7712536454200745},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.7426864504814148},{"id":"https://openalex.org/keywords/multi-objective-optimization","display_name":"Multi-objective optimization","score":0.5537786483764648},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.482085257768631},{"id":"https://openalex.org/keywords/scalar","display_name":"Scalar (mathematics)","score":0.42429015040397644},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.11605224013328552}],"concepts":[{"id":"https://openalex.org/C3309286","wikidata":"https://www.wikidata.org/wiki/Q4907693","display_name":"Bilevel optimization","level":3,"score":0.8810890913009644},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7728947401046753},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.7712536454200745},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.7426864504814148},{"id":"https://openalex.org/C68781425","wikidata":"https://www.wikidata.org/wiki/Q2052203","display_name":"Multi-objective optimization","level":2,"score":0.5537786483764648},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.482085257768631},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.42429015040397644},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.11605224013328552},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/s10957-012-0161-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10957-012-0161-z","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:CiteSeerX.psu:10.1.1.303.4024","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.303.4024","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.mathe.tu-freiberg.de/files/page/preprint-2011-06.pdf","raw_type":"text"},{"id":"pmh:oai:RePEc:spr:joptap:v:157:y:2013:i:1:d:10.1007_s10957-012-0161-z","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s10957-012-0161-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"},{"id":"pmh:oai:eprints.soton.ac.uk:370840","is_oa":false,"landing_page_url":"https://eprints.soton.ac.uk/370840/","pdf_url":null,"source":{"id":"https://openalex.org/S4306401019","display_name":"ePrints Soton (University of Southampton)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I43439940","host_organization_name":"University of Southampton","host_organization_lineage":["https://openalex.org/I43439940"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W1448718787","https://openalex.org/W1551360398","https://openalex.org/W1983644172","https://openalex.org/W2013038594","https://openalex.org/W2055448128","https://openalex.org/W2058854120","https://openalex.org/W2064997474","https://openalex.org/W2071707442","https://openalex.org/W2077791826","https://openalex.org/W2078725149","https://openalex.org/W2082990205","https://openalex.org/W2102686659","https://openalex.org/W2108630901","https://openalex.org/W2126813526","https://openalex.org/W2129779377","https://openalex.org/W2142789187","https://openalex.org/W2153562582","https://openalex.org/W2153565720","https://openalex.org/W2395484609","https://openalex.org/W2615258659","https://openalex.org/W3157341860","https://openalex.org/W4249513058","https://openalex.org/W4302557773"],"related_works":["https://openalex.org/W3171709385","https://openalex.org/W201805052","https://openalex.org/W2594028757","https://openalex.org/W2091157695","https://openalex.org/W2890257643","https://openalex.org/W2069900289","https://openalex.org/W1495503294","https://openalex.org/W2161149697","https://openalex.org/W2340378315","https://openalex.org/W1994436307"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":6},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":8},{"year":2019,"cited_by_count":7},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":6},{"year":2016,"cited_by_count":5},{"year":2015,"cited_by_count":7},{"year":2014,"cited_by_count":6},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":2}],"updated_date":"2026-06-19T15:47:20.252518","created_date":"2025-10-10T00:00:00"}