{"id":"https://openalex.org/W3000736586","doi":"https://doi.org/10.1007/s10107-020-01525-x","title":"New metric properties for prox-regular sets","display_name":"New metric properties for prox-regular sets","publication_year":2020,"publication_date":"2020-06-11","ids":{"openalex":"https://openalex.org/W3000736586","doi":"https://doi.org/10.1007/s10107-020-01525-x","mag":"3000736586"},"language":"en","primary_location":{"id":"doi:10.1007/s10107-020-01525-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10107-020-01525-x","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":true,"oa_status":"green","oa_url":"https://hal.science/hal-02433109","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5018944126","display_name":"Samir Adly","orcid":"https://orcid.org/0000-0002-4375-0106"},"institutions":[{"id":"https://openalex.org/I65806277","display_name":"Universit\u00e9 de Limoges","ror":"https://ror.org/02cp04407","country_code":"FR","type":"education","lineage":["https://openalex.org/I65806277"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"S. Adly","raw_affiliation_strings":["Laboratoire XLIM, Universit\u00e9 de Limoges, 123, Avenue Albert Thomas, 87060, Limoges CEDEX, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratoire XLIM, Universit\u00e9 de Limoges, 123, Avenue Albert Thomas, 87060, Limoges CEDEX, France","institution_ids":["https://openalex.org/I65806277"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5000317645","display_name":"Florent Nacry","orcid":"https://orcid.org/0000-0001-5369-5246"},"institutions":[{"id":"https://openalex.org/I151295451","display_name":"Universit\u00e9 de Perpignan","ror":"https://ror.org/03am2jy38","country_code":"FR","type":"education","lineage":["https://openalex.org/I151295451"]},{"id":"https://openalex.org/I4210155549","display_name":"Laboratoire de Math\u00e9matiques Blaise Pascal","ror":"https://ror.org/05sd5r855","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I198244214","https://openalex.org/I4210141950","https://openalex.org/I4210155549"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"F. Nacry","raw_affiliation_strings":["Laboratoire de Math\u00e9matiques et Physique, Universit\u00e9 de Perpignan Via Domitia, 52 Avenue Paul Alduy, 66860, Perpignan, France"],"raw_orcid":"https://orcid.org/0000-0001-5369-5246","affiliations":[{"raw_affiliation_string":"Laboratoire de Math\u00e9matiques et Physique, Universit\u00e9 de Perpignan Via Domitia, 52 Avenue Paul Alduy, 66860, Perpignan, France","institution_ids":["https://openalex.org/I151295451","https://openalex.org/I4210155549"]}]},{"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"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"L. Thibault","raw_affiliation_strings":["Universit\u00e9 de Montpellier, Institut Montpelli\u00e9rain Alexander Grothendieck, 34095, Montpellier CEDEX 5, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universit\u00e9 de Montpellier, Institut Montpelli\u00e9rain Alexander Grothendieck, 34095, Montpellier CEDEX 5, France","institution_ids":["https://openalex.org/I19894307"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5000317645"],"corresponding_institution_ids":["https://openalex.org/I151295451","https://openalex.org/I4210155549"],"apc_list":{"value":2190,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.7282,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.75762633,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"189","issue":"1-2","first_page":"7","last_page":"36"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9993000030517578,"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":0.9993000030517578,"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":0.9955000281333923,"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/T11830","display_name":"Point processes and geometric inequalities","score":0.9783999919891357,"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":0.7650344371795654},{"id":"https://openalex.org/keywords/convex-set","display_name":"Convex set","score":0.5865142941474915},{"id":"https://openalex.org/keywords/convex-analysis","display_name":"Convex analysis","score":0.511003851890564},{"id":"https://openalex.org/keywords/hyperplane","display_name":"Hyperplane","score":0.5052588582038879},{"id":"https://openalex.org/keywords/subderivative","display_name":"Subderivative","score":0.45605581998825073},{"id":"https://openalex.org/keywords/proper-convex-function","display_name":"Proper convex function","score":0.4465227723121643},{"id":"https://openalex.org/keywords/intersection","display_name":"Intersection (aeronautics)","score":0.43945086002349854},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4307861030101776},{"id":"https://openalex.org/keywords/convex-function","display_name":"Convex function","score":0.42619240283966064},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.3557928204536438},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.16951823234558105},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.0804484486579895}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7650344371795654},{"id":"https://openalex.org/C49870271","wikidata":"https://www.wikidata.org/wiki/Q193657","display_name":"Convex set","level":4,"score":0.5865142941474915},{"id":"https://openalex.org/C12108790","wikidata":"https://www.wikidata.org/wiki/Q2234833","display_name":"Convex analysis","level":4,"score":0.511003851890564},{"id":"https://openalex.org/C68693459","wikidata":"https://www.wikidata.org/wiki/Q657586","display_name":"Hyperplane","level":2,"score":0.5052588582038879},{"id":"https://openalex.org/C200661725","wikidata":"https://www.wikidata.org/wiki/Q289500","display_name":"Subderivative","level":4,"score":0.45605581998825073},{"id":"https://openalex.org/C50862404","wikidata":"https://www.wikidata.org/wiki/Q3075259","display_name":"Proper convex function","level":5,"score":0.4465227723121643},{"id":"https://openalex.org/C64543145","wikidata":"https://www.wikidata.org/wiki/Q162942","display_name":"Intersection (aeronautics)","level":2,"score":0.43945086002349854},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4307861030101776},{"id":"https://openalex.org/C145446738","wikidata":"https://www.wikidata.org/wiki/Q319913","display_name":"Convex function","level":3,"score":0.42619240283966064},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.3557928204536438},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.16951823234558105},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0804484486579895},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s10107-020-01525-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10107-020-01525-x","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-02433109v1","is_oa":true,"landing_page_url":"https://hal.science/hal-02433109","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"2020","raw_type":"Preprints, Working Papers, ..."},{"id":"pmh:oai:HAL:hal-04193937v1","is_oa":false,"landing_page_url":"https://hal.science/hal-04193937","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, 2021, 189 (1-2), pp.7-36. ⟨10.1007/s10107-020-01525-x⟩","raw_type":"Journal articles"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-02433109v1","is_oa":true,"landing_page_url":"https://hal.science/hal-02433109","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"2020","raw_type":"Preprints, Working Papers, ..."},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W6832394","https://openalex.org/W591794949","https://openalex.org/W652382442","https://openalex.org/W1484024929","https://openalex.org/W1497941563","https://openalex.org/W1511503348","https://openalex.org/W1551360398","https://openalex.org/W1573659356","https://openalex.org/W1986137728","https://openalex.org/W1986402066","https://openalex.org/W1994489106","https://openalex.org/W2020167116","https://openalex.org/W2051984732","https://openalex.org/W2074743651","https://openalex.org/W2121562066","https://openalex.org/W2142506503","https://openalex.org/W2153562582","https://openalex.org/W2298599025","https://openalex.org/W2396132789","https://openalex.org/W2514912009","https://openalex.org/W2596876212","https://openalex.org/W2626198824","https://openalex.org/W2742765147","https://openalex.org/W3045360278","https://openalex.org/W3173198149","https://openalex.org/W4213171111","https://openalex.org/W4249513058","https://openalex.org/W4285719527","https://openalex.org/W4303084602","https://openalex.org/W6633948367"],"related_works":["https://openalex.org/W2026600343","https://openalex.org/W4382519084","https://openalex.org/W2478309485","https://openalex.org/W2356261519","https://openalex.org/W165488893","https://openalex.org/W2040676043","https://openalex.org/W2617507642","https://openalex.org/W3092518081","https://openalex.org/W4361807553","https://openalex.org/W2240332484"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1}],"updated_date":"2026-05-07T13:39:58.223016","created_date":"2025-10-10T00:00:00"}