{"id":"https://openalex.org/W2052042691","doi":"https://doi.org/10.1007/s10107-009-0268-7","title":"A qualitative mathematical analysis of a class of linear variational inequalities via semi-complementarity problems: applications in electronics","display_name":"A qualitative mathematical analysis of a class of linear variational inequalities via semi-complementarity problems: applications in electronics","publication_year":2009,"publication_date":"2009-02-17","ids":{"openalex":"https://openalex.org/W2052042691","doi":"https://doi.org/10.1007/s10107-009-0268-7","mag":"2052042691"},"language":"en","primary_location":{"id":"doi:10.1007/s10107-009-0268-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10107-009-0268-7","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":"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/A5081660030","display_name":"Khalid Addi","orcid":null},"institutions":[{"id":"https://openalex.org/I24715933","display_name":"University of Reunion Island","ror":"https://ror.org/005ypkf75","country_code":"RE","type":"education","lineage":["https://openalex.org/I24715933"]},{"id":"https://openalex.org/I4210164187","display_name":"Observatoire des Sciences de l'Univers de la R\u00e9union","ror":"https://ror.org/05mv3tj33","country_code":"RE","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1327553481","https://openalex.org/I154202486","https://openalex.org/I24715933","https://openalex.org/I2799535048","https://openalex.org/I2802818602","https://openalex.org/I4210088668","https://openalex.org/I4210090127","https://openalex.org/I4210113730","https://openalex.org/I4210113730","https://openalex.org/I4210131494","https://openalex.org/I4210148025","https://openalex.org/I4210164187","https://openalex.org/I4210166444","https://openalex.org/I4405257220"]}],"countries":["RE"],"is_corresponding":true,"raw_author_name":"Khalid Addi","raw_affiliation_strings":["IREMIA, University of La Reunion, 97400, Saint-Denis, France","IREMIA, University of La Reunion, 97400, Saint-Denis, France#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"IREMIA, University of La Reunion, 97400, Saint-Denis, France","institution_ids":["https://openalex.org/I4210164187"]},{"raw_affiliation_string":"IREMIA, University of La Reunion, 97400, Saint-Denis, France#TAB#","institution_ids":["https://openalex.org/I24715933"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5025439660","display_name":"B. Brogliato","orcid":null},"institutions":[{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en sciences et technologies du num\u00e9rique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"government","lineage":["https://openalex.org/I1326498283"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"B. Brogliato","raw_affiliation_strings":["INRIA, Bipop Team-Project, 38334, Saint-Ismier, France","INRIA, Bipop Team-Project, 38334, Saint-Ismier, France#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"INRIA, Bipop Team-Project, 38334, Saint-Ismier, France","institution_ids":["https://openalex.org/I1326498283"]},{"raw_affiliation_string":"INRIA, Bipop Team-Project, 38334, Saint-Ismier, France#TAB#","institution_ids":["https://openalex.org/I1326498283"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5047940934","display_name":"D. Goeleven","orcid":null},"institutions":[{"id":"https://openalex.org/I24715933","display_name":"University of Reunion Island","ror":"https://ror.org/005ypkf75","country_code":"RE","type":"education","lineage":["https://openalex.org/I24715933"]},{"id":"https://openalex.org/I4210164187","display_name":"Observatoire des Sciences de l'Univers de la R\u00e9union","ror":"https://ror.org/05mv3tj33","country_code":"RE","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1327553481","https://openalex.org/I154202486","https://openalex.org/I24715933","https://openalex.org/I2799535048","https://openalex.org/I2802818602","https://openalex.org/I4210088668","https://openalex.org/I4210090127","https://openalex.org/I4210113730","https://openalex.org/I4210113730","https://openalex.org/I4210131494","https://openalex.org/I4210148025","https://openalex.org/I4210164187","https://openalex.org/I4210166444","https://openalex.org/I4405257220"]}],"countries":["RE"],"is_corresponding":false,"raw_author_name":"D. Goeleven","raw_affiliation_strings":["IREMIA, University of La Reunion, 97400, Saint-Denis, France","IREMIA, University of La Reunion, 97400, Saint-Denis, France#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"IREMIA, University of La Reunion, 97400, Saint-Denis, France","institution_ids":["https://openalex.org/I4210164187"]},{"raw_affiliation_string":"IREMIA, University of La Reunion, 97400, Saint-Denis, France#TAB#","institution_ids":["https://openalex.org/I24715933"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5081660030"],"corresponding_institution_ids":["https://openalex.org/I24715933","https://openalex.org/I4210164187"],"apc_list":{"value":2190,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":2.8364,"has_fulltext":false,"cited_by_count":61,"citation_normalized_percentile":{"value":0.90216557,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"126","issue":"1","first_page":"31","last_page":"67"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12809","display_name":"Contact Mechanics and Variational Inequalities","score":1.0,"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/T12809","display_name":"Contact Mechanics and Variational Inequalities","score":1.0,"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/T11115","display_name":"Topology Optimization in Engineering","score":0.9987999796867371,"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"}},{"id":"https://openalex.org/T10700","display_name":"Metal Forming Simulation Techniques","score":0.9955000281333923,"subfield":{"id":"https://openalex.org/subfields/2210","display_name":"Mechanical 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/complementarity-theory","display_name":"Complementarity theory","score":0.7639034986495972},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.730383574962616},{"id":"https://openalex.org/keywords/variational-inequality","display_name":"Variational inequality","score":0.6899983882904053},{"id":"https://openalex.org/keywords/complementarity","display_name":"Complementarity (molecular biology)","score":0.6673970818519592},{"id":"https://openalex.org/keywords/mixed-complementarity-problem","display_name":"Mixed complementarity problem","score":0.6204190254211426},{"id":"https://openalex.org/keywords/linear-complementarity-problem","display_name":"Linear complementarity problem","score":0.5654714703559875},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5500203967094421},{"id":"https://openalex.org/keywords/electronics","display_name":"Electronics","score":0.5127816796302795},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.5117699503898621},{"id":"https://openalex.org/keywords/qualitative-analysis","display_name":"Qualitative analysis","score":0.5064867734909058},{"id":"https://openalex.org/keywords/variational-analysis","display_name":"Variational analysis","score":0.5058812499046326},{"id":"https://openalex.org/keywords/inequality","display_name":"Inequality","score":0.4808260202407837},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4611828923225403},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3945843279361725},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.35390692949295044},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.3302357792854309},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.32742929458618164},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2432863712310791},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2068854570388794},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.1882149577140808},{"id":"https://openalex.org/keywords/qualitative-research","display_name":"Qualitative research","score":0.18001499772071838},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1789589524269104},{"id":"https://openalex.org/keywords/electrical-engineering","display_name":"Electrical engineering","score":0.11315590143203735},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.0849926769733429},{"id":"https://openalex.org/keywords/sociology","display_name":"Sociology","score":0.07990995049476624},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.077593594789505}],"concepts":[{"id":"https://openalex.org/C85404239","wikidata":"https://www.wikidata.org/wiki/Q5156417","display_name":"Complementarity theory","level":3,"score":0.7639034986495972},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.730383574962616},{"id":"https://openalex.org/C161999928","wikidata":"https://www.wikidata.org/wiki/Q4556320","display_name":"Variational inequality","level":2,"score":0.6899983882904053},{"id":"https://openalex.org/C202269582","wikidata":"https://www.wikidata.org/wiki/Q2644277","display_name":"Complementarity (molecular biology)","level":2,"score":0.6673970818519592},{"id":"https://openalex.org/C77196050","wikidata":"https://www.wikidata.org/wiki/Q6883962","display_name":"Mixed complementarity problem","level":3,"score":0.6204190254211426},{"id":"https://openalex.org/C34320192","wikidata":"https://www.wikidata.org/wiki/Q783105","display_name":"Linear complementarity problem","level":3,"score":0.5654714703559875},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5500203967094421},{"id":"https://openalex.org/C138331895","wikidata":"https://www.wikidata.org/wiki/Q11650","display_name":"Electronics","level":2,"score":0.5127816796302795},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.5117699503898621},{"id":"https://openalex.org/C3018587665","wikidata":"https://www.wikidata.org/wiki/Q7268696","display_name":"Qualitative analysis","level":3,"score":0.5064867734909058},{"id":"https://openalex.org/C523394659","wikidata":"https://www.wikidata.org/wiki/Q17086892","display_name":"Variational analysis","level":2,"score":0.5058812499046326},{"id":"https://openalex.org/C45555294","wikidata":"https://www.wikidata.org/wiki/Q28113351","display_name":"Inequality","level":2,"score":0.4808260202407837},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4611828923225403},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3945843279361725},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.35390692949295044},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.3302357792854309},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.32742929458618164},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2432863712310791},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2068854570388794},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.1882149577140808},{"id":"https://openalex.org/C190248442","wikidata":"https://www.wikidata.org/wiki/Q839486","display_name":"Qualitative research","level":2,"score":0.18001499772071838},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1789589524269104},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.11315590143203735},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0849926769733429},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.07990995049476624},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.077593594789505},{"id":"https://openalex.org/C36289849","wikidata":"https://www.wikidata.org/wiki/Q34749","display_name":"Social science","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","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/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10107-009-0268-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10107-009-0268-7","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:HAL:hal-00756295v1","is_oa":false,"landing_page_url":"https://inria.hal.science/hal-00756295","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Mathematical Programming, 2011, 126 (1), pp.31-67. &#x27E8;10.1007/s10107-009-0268-7&#x27E9;","raw_type":"Journal articles"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.6499999761581421,"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":45,"referenced_works":["https://openalex.org/W99253999","https://openalex.org/W584634945","https://openalex.org/W595988353","https://openalex.org/W600840662","https://openalex.org/W641727423","https://openalex.org/W1488435683","https://openalex.org/W1503425191","https://openalex.org/W1504265359","https://openalex.org/W1520204308","https://openalex.org/W1543439990","https://openalex.org/W1607328898","https://openalex.org/W1966802138","https://openalex.org/W1968813247","https://openalex.org/W1993608133","https://openalex.org/W2000151369","https://openalex.org/W2008544224","https://openalex.org/W2014656160","https://openalex.org/W2020557556","https://openalex.org/W2028325112","https://openalex.org/W2038812941","https://openalex.org/W2042160447","https://openalex.org/W2044958480","https://openalex.org/W2056459463","https://openalex.org/W2062536784","https://openalex.org/W2080247724","https://openalex.org/W2085898199","https://openalex.org/W2098982596","https://openalex.org/W2101340781","https://openalex.org/W2119020247","https://openalex.org/W2121570572","https://openalex.org/W2127015451","https://openalex.org/W2149675356","https://openalex.org/W2152192979","https://openalex.org/W2158590796","https://openalex.org/W2173894963","https://openalex.org/W2476453047","https://openalex.org/W2741922406","https://openalex.org/W4231936225","https://openalex.org/W4248253146","https://openalex.org/W4248816015","https://openalex.org/W4248968727","https://openalex.org/W4249667877","https://openalex.org/W4301791716","https://openalex.org/W4302197016","https://openalex.org/W4378195498"],"related_works":["https://openalex.org/W2276648117","https://openalex.org/W2063320018","https://openalex.org/W2042813889","https://openalex.org/W2358901572","https://openalex.org/W2562269091","https://openalex.org/W2074082632","https://openalex.org/W2037516588","https://openalex.org/W1992673508","https://openalex.org/W2052042691","https://openalex.org/W36023795"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":3},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":6},{"year":2020,"cited_by_count":6},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":12},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":2}],"updated_date":"2026-06-15T08:34:33.830935","created_date":"2016-06-24T00:00:00"}
