{"id":"https://openalex.org/W2035847681","doi":"https://doi.org/10.1007/s10898-004-5905-3","title":"Integration of \u03b5-Fenchel Subdifferentials and Maximal Cyclic Monotonicity","display_name":"Integration of \u03b5-Fenchel Subdifferentials and Maximal Cyclic Monotonicity","publication_year":2005,"publication_date":"2005-05-01","ids":{"openalex":"https://openalex.org/W2035847681","doi":"https://doi.org/10.1007/s10898-004-5905-3","mag":"2035847681"},"language":"en","primary_location":{"id":"doi:10.1007/s10898-004-5905-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10898-004-5905-3","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/A5060375651","display_name":"Sylvie Marcellin","orcid":null},"institutions":[{"id":"https://openalex.org/I3019441195","display_name":"Laboratoire de Math\u00e9matiques d'Orsay","ror":"https://ror.org/03ab0zs98","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I277688954","https://openalex.org/I3019441195"]},{"id":"https://openalex.org/I19894307","display_name":"Universit\u00e9 de Montpellier","ror":"https://ror.org/051escj72","country_code":"FR","type":"education","lineage":["https://openalex.org/I19894307"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Sylvie Marcellin","raw_affiliation_strings":["D\u00e9partement de Math\u00e9matiques, Universit\u00e9 Montpellier II, CC 051, Place Eug\u00e9ne Bataillon, 34095, Montpellier cedex 5, France","D\u00e9partement de Math\u00e9matiques, Universit\u00e9 Montpellier II, Montpellier cedex 5, France 34095#TAB#"],"affiliations":[{"raw_affiliation_string":"D\u00e9partement de Math\u00e9matiques, Universit\u00e9 Montpellier II, CC 051, Place Eug\u00e9ne Bataillon, 34095, Montpellier cedex 5, France","institution_ids":["https://openalex.org/I19894307","https://openalex.org/I3019441195"]},{"raw_affiliation_string":"D\u00e9partement de Math\u00e9matiques, Universit\u00e9 Montpellier II, Montpellier cedex 5, France 34095#TAB#","institution_ids":["https://openalex.org/I19894307","https://openalex.org/I3019441195"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5065041515","display_name":"Lionel Thibault","orcid":"https://orcid.org/0000-0002-4172-1301"},"institutions":[{"id":"https://openalex.org/I19894307","display_name":"Universit\u00e9 de Montpellier","ror":"https://ror.org/051escj72","country_code":"FR","type":"education","lineage":["https://openalex.org/I19894307"]},{"id":"https://openalex.org/I3019441195","display_name":"Laboratoire de Math\u00e9matiques d'Orsay","ror":"https://ror.org/03ab0zs98","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I277688954","https://openalex.org/I3019441195"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Lionel Thibault","raw_affiliation_strings":["D\u00e9partement de Math\u00e9matiques, Universit\u00e9 Montpellier II, CC 051, Place Eug\u00e9ne Bataillon, 34095, Montpellier cedex 5, France","D\u00e9partement de Math\u00e9matiques, Universit\u00e9 Montpellier II, Montpellier cedex 5, France 34095#TAB#"],"affiliations":[{"raw_affiliation_string":"D\u00e9partement de Math\u00e9matiques, Universit\u00e9 Montpellier II, CC 051, Place Eug\u00e9ne Bataillon, 34095, Montpellier cedex 5, France","institution_ids":["https://openalex.org/I19894307","https://openalex.org/I3019441195"]},{"raw_affiliation_string":"D\u00e9partement de Math\u00e9matiques, Universit\u00e9 Montpellier II, Montpellier cedex 5, France 34095#TAB#","institution_ids":["https://openalex.org/I19894307","https://openalex.org/I3019441195"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5060375651"],"corresponding_institution_ids":["https://openalex.org/I19894307","https://openalex.org/I3019441195"],"apc_list":{"value":2190,"currency":"EUR","value_usd":2780},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.13869921,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"32","issue":"1","first_page":"83","last_page":"91"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9980999827384949,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9980999827384949,"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/T10545","display_name":"Optimization and Variational Analysis","score":0.996999979019165,"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/T11830","display_name":"Point processes and geometric inequalities","score":0.9962999820709229,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/mathematics","display_name":"Mathematics","score":0.9045124650001526},{"id":"https://openalex.org/keywords/subderivative","display_name":"Subderivative","score":0.8325884342193604},{"id":"https://openalex.org/keywords/monotone-polygon","display_name":"Monotone polygon","score":0.691057562828064},{"id":"https://openalex.org/keywords/monotonic-function","display_name":"Monotonic function","score":0.5965201258659363},{"id":"https://openalex.org/keywords/locally-convex-topological-vector-space","display_name":"Locally convex topological vector space","score":0.5588005781173706},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.5418726801872253},{"id":"https://openalex.org/keywords/convex-function","display_name":"Convex function","score":0.5303046703338623},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.5166871547698975},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.4879843592643738},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.47270700335502625},{"id":"https://openalex.org/keywords/convex-analysis","display_name":"Convex analysis","score":0.4626506268978119},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.2878117859363556},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2622660994529724},{"id":"https://openalex.org/keywords/topological-space","display_name":"Topological space","score":0.1927521526813507},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.07421153783798218},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.05428913235664368},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.04825893044471741}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9045124650001526},{"id":"https://openalex.org/C200661725","wikidata":"https://www.wikidata.org/wiki/Q289500","display_name":"Subderivative","level":4,"score":0.8325884342193604},{"id":"https://openalex.org/C2834757","wikidata":"https://www.wikidata.org/wiki/Q4925424","display_name":"Monotone polygon","level":2,"score":0.691057562828064},{"id":"https://openalex.org/C72169020","wikidata":"https://www.wikidata.org/wiki/Q194404","display_name":"Monotonic function","level":2,"score":0.5965201258659363},{"id":"https://openalex.org/C58228006","wikidata":"https://www.wikidata.org/wiki/Q1572357","display_name":"Locally convex topological vector space","level":3,"score":0.5588005781173706},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5418726801872253},{"id":"https://openalex.org/C145446738","wikidata":"https://www.wikidata.org/wiki/Q319913","display_name":"Convex function","level":3,"score":0.5303046703338623},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.5166871547698975},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.4879843592643738},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.47270700335502625},{"id":"https://openalex.org/C12108790","wikidata":"https://www.wikidata.org/wiki/Q2234833","display_name":"Convex analysis","level":4,"score":0.4626506268978119},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.2878117859363556},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2622660994529724},{"id":"https://openalex.org/C81332173","wikidata":"https://www.wikidata.org/wiki/Q179899","display_name":"Topological space","level":2,"score":0.1927521526813507},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.07421153783798218},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.05428913235664368},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.04825893044471741},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10898-004-5905-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10898-004-5905-3","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":6,"referenced_works":["https://openalex.org/W1979798441","https://openalex.org/W1988627816","https://openalex.org/W2026769313","https://openalex.org/W2067243588","https://openalex.org/W2083027911","https://openalex.org/W4249667877"],"related_works":["https://openalex.org/W2007576447","https://openalex.org/W1980925656","https://openalex.org/W2167459675","https://openalex.org/W2356261519","https://openalex.org/W2379359887","https://openalex.org/W2185500298","https://openalex.org/W3199288759","https://openalex.org/W2026600343","https://openalex.org/W1510770274","https://openalex.org/W2388375429"],"abstract_inverted_index":null,"counts_by_year":[{"year":2018,"cited_by_count":2},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}