{"id":"https://openalex.org/W2058936234","doi":"https://doi.org/10.1007/bf02592191","title":"Criteria for differentiable generalized monotone maps","display_name":"Criteria for differentiable generalized monotone maps","publication_year":1996,"publication_date":"1996-12-01","ids":{"openalex":"https://openalex.org/W2058936234","doi":"https://doi.org/10.1007/bf02592191","mag":"2058936234"},"language":"en","primary_location":{"id":"doi:10.1007/bf02592191","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf02592191","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/A5022248421","display_name":"Jean-Pierre Crouzeix","orcid":"https://orcid.org/0000-0001-5874-457X"},"institutions":[{"id":"https://openalex.org/I198244214","display_name":"Universit\u00e9 Clermont Auvergne","ror":"https://ror.org/01a8ajp46","country_code":"FR","type":"education","lineage":["https://openalex.org/I198244214"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"J. -P. Crouzeix","raw_affiliation_strings":["Universit\u00e9 Blaise Pascal, F-63177, Aubi\u00e8re Cedex, France","Universit\u00e9 Blaise Pascal, Aubi\u00e8re Cedex, France#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universit\u00e9 Blaise Pascal, F-63177, Aubi\u00e8re Cedex, France","institution_ids":["https://openalex.org/I198244214"]},{"raw_affiliation_string":"Universit\u00e9 Blaise Pascal, Aubi\u00e8re Cedex, France#TAB#","institution_ids":["https://openalex.org/I198244214"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5110184720","display_name":"Jacques A. Ferland","orcid":null},"institutions":[{"id":"https://openalex.org/I159129438","display_name":"Universit\u00e9 du Qu\u00e9bec \u00e0 Montr\u00e9al","ror":"https://ror.org/002rjbv21","country_code":"CA","type":"education","lineage":["https://openalex.org/I159129438","https://openalex.org/I49663120"]},{"id":"https://openalex.org/I4210111842","display_name":"Computer Research Institute of Montr\u00e9al","ror":"https://ror.org/0279d5115","country_code":"CA","type":"nonprofit","lineage":["https://openalex.org/I4210111842"]},{"id":"https://openalex.org/I70931966","display_name":"Universit\u00e9 de Montr\u00e9al","ror":"https://ror.org/0161xgx34","country_code":"CA","type":"education","lineage":["https://openalex.org/I70931966"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"J. A. Ferland","raw_affiliation_strings":["Department d'Informatique et de Recherche Operationelle, Universit\u00e9 de Montr\u00e9al, Succ.A., C.P. 6128, Montr\u00e9al, Qu\u00e9bec, H3C 3J7, Canada","Department d'Informatique et de Recherche Operationelle, Universit\u00e9 de Montr\u00e9al, Montr\u00e9al, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department d'Informatique et de Recherche Operationelle, Universit\u00e9 de Montr\u00e9al, Succ.A., C.P. 6128, Montr\u00e9al, Qu\u00e9bec, H3C 3J7, Canada","institution_ids":["https://openalex.org/I159129438","https://openalex.org/I4210111842","https://openalex.org/I70931966"]},{"raw_affiliation_string":"Department d'Informatique et de Recherche Operationelle, Universit\u00e9 de Montr\u00e9al, Montr\u00e9al, Canada","institution_ids":["https://openalex.org/I70931966"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2890,"currency":"USD","value_usd":2890},"apc_paid":null,"fwci":2.4501,"has_fulltext":false,"cited_by_count":39,"citation_normalized_percentile":{"value":0.89359556,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"75","issue":"3","first_page":"399","last_page":"406"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9958000183105469,"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":0.9958000183105469,"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/T12137","display_name":"Economic theories and models","score":0.9869999885559082,"subfield":{"id":"https://openalex.org/subfields/2002","display_name":"Economics and Econometrics"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11830","display_name":"Point processes and geometric inequalities","score":0.9660999774932861,"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":0.8287848234176636},{"id":"https://openalex.org/keywords/differentiable-function","display_name":"Differentiable function","score":0.7802964448928833},{"id":"https://openalex.org/keywords/monotone-polygon","display_name":"Monotone polygon","score":0.7009787559509277},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.45572346448898315},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4105764925479889},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.30632174015045166},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.22607821226119995},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.11887526512145996}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8287848234176636},{"id":"https://openalex.org/C202615002","wikidata":"https://www.wikidata.org/wiki/Q783507","display_name":"Differentiable function","level":2,"score":0.7802964448928833},{"id":"https://openalex.org/C2834757","wikidata":"https://www.wikidata.org/wiki/Q4925424","display_name":"Monotone polygon","level":2,"score":0.7009787559509277},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.45572346448898315},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4105764925479889},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.30632174015045166},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.22607821226119995},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.11887526512145996}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/bf02592191","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf02592191","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W1969867455","https://openalex.org/W2032292661","https://openalex.org/W2037152850","https://openalex.org/W2065279254","https://openalex.org/W2083759756","https://openalex.org/W2085803700","https://openalex.org/W2093246563","https://openalex.org/W4248623816"],"related_works":["https://openalex.org/W4285277090","https://openalex.org/W4327738859","https://openalex.org/W2348722996","https://openalex.org/W2334570605","https://openalex.org/W3181683615","https://openalex.org/W4286826125","https://openalex.org/W1633485514","https://openalex.org/W1980454230","https://openalex.org/W4224242423","https://openalex.org/W4285308861"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}