{"id":"https://openalex.org/W2094903571","doi":"https://doi.org/10.1007/s10589-011-9439-6","title":"A Lyusternik\u2013Graves theorem for the proximal point method","display_name":"A Lyusternik\u2013Graves theorem for the proximal point method","publication_year":2011,"publication_date":"2011-09-30","ids":{"openalex":"https://openalex.org/W2094903571","doi":"https://doi.org/10.1007/s10589-011-9439-6","mag":"2094903571"},"language":"en","primary_location":{"id":"doi:10.1007/s10589-011-9439-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10589-011-9439-6","pdf_url":null,"source":{"id":"https://openalex.org/S39243548","display_name":"Computational Optimization and Applications","issn_l":"0926-6003","issn":["0926-6003","1573-2894"],"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":"Computational Optimization and Applications","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":null,"any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5038453095","display_name":"Francisco J. Arag\u00f3n Artacho","orcid":"https://orcid.org/0000-0002-2445-8011"},"institutions":[{"id":"https://openalex.org/I130194489","display_name":"University of Alicante","ror":"https://ror.org/05t8bcz72","country_code":"ES","type":"education","lineage":["https://openalex.org/I130194489"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"Francisco J. Arag\u00f3n\u00a0Artacho","raw_affiliation_strings":["Department of Statistics and Operations Research, University of Alicante, 03080, Alicante, Spain","University of Alicante,"],"affiliations":[{"raw_affiliation_string":"Department of Statistics and Operations Research, University of Alicante, 03080, Alicante, Spain","institution_ids":["https://openalex.org/I130194489"]},{"raw_affiliation_string":"University of Alicante,","institution_ids":["https://openalex.org/I130194489"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5106071132","display_name":"Micha\u00ebl Gaydu","orcid":null},"institutions":[{"id":"https://openalex.org/I52585520","display_name":"Universit\u00e9 des Antilles","ror":"https://ror.org/02ryfmr77","country_code":"GP","type":"education","lineage":["https://openalex.org/I52585520"]}],"countries":["GP"],"is_corresponding":false,"raw_author_name":"Micha\u00ebl Gaydu","raw_affiliation_strings":["LAMIA, Dpt. de Math\u00e9matiques, Universit\u00e9 Antilles-Guyane, 97159, Pointe-\u00e0-Pitre, Guadeloupe, France","Universit\u00e9 Antilles-Guyane"],"affiliations":[{"raw_affiliation_string":"LAMIA, Dpt. de Math\u00e9matiques, Universit\u00e9 Antilles-Guyane, 97159, Pointe-\u00e0-Pitre, Guadeloupe, France","institution_ids":["https://openalex.org/I52585520"]},{"raw_affiliation_string":"Universit\u00e9 Antilles-Guyane","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5038453095"],"corresponding_institution_ids":["https://openalex.org/I130194489"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.6427,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.71006285,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"52","issue":"3","first_page":"785","last_page":"803"},"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":0.9986000061035156,"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":0.9977999925613403,"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/iterated-function","display_name":"Iterated function","score":0.7512842416763306},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7070644497871399},{"id":"https://openalex.org/keywords/banach-space","display_name":"Banach space","score":0.6480858325958252},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4911627471446991},{"id":"https://openalex.org/keywords/iterated-function-system","display_name":"Iterated function system","score":0.4127030670642853},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3945957124233246},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3557361960411072},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.33989012241363525},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2911475598812103}],"concepts":[{"id":"https://openalex.org/C140479938","wikidata":"https://www.wikidata.org/wiki/Q5254619","display_name":"Iterated function","level":2,"score":0.7512842416763306},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7070644497871399},{"id":"https://openalex.org/C132954091","wikidata":"https://www.wikidata.org/wiki/Q194397","display_name":"Banach space","level":2,"score":0.6480858325958252},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4911627471446991},{"id":"https://openalex.org/C168460219","wikidata":"https://www.wikidata.org/wiki/Q1502167","display_name":"Iterated function system","level":3,"score":0.4127030670642853},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3945957124233246},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3557361960411072},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.33989012241363525},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2911475598812103},{"id":"https://openalex.org/C40636538","wikidata":"https://www.wikidata.org/wiki/Q81392","display_name":"Fractal","level":2,"score":0.0}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.1007/s10589-011-9439-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10589-011-9439-6","pdf_url":null,"source":{"id":"https://openalex.org/S39243548","display_name":"Computational Optimization and Applications","issn_l":"0926-6003","issn":["0926-6003","1573-2894"],"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":"Computational Optimization and Applications","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-00728144v1","is_oa":false,"landing_page_url":"https://hal.science/hal-00728144","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":"Computational Optimization and Applications, 2012, 52 (3), pp.785-803. ⟨10.1007/s10589-011-9439-6⟩","raw_type":"Journal articles"},{"id":"pmh:oai:RePEc:spr:coopap:v:52:y:2012:i:3:p:785-803","is_oa":false,"landing_page_url":"http://hdl.handle.net/10.1007/s10589-011-9439-6","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:figshare.com:article/29018708","is_oa":true,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4377196282","display_name":"Figshare","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210132348","host_organization_name":"Figshare (United Kingdom)","host_organization_lineage":["https://openalex.org/I4210132348"],"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":"Journal contribution"},{"id":"pmh:oai:orbilu.uni.lu:10993/10885","is_oa":false,"landing_page_url":"https://orbilu.uni.lu/handle/10993/10885","pdf_url":null,"source":{"id":"https://openalex.org/S4306401815","display_name":"Open Repository and Bibliography (University of Luxembourg)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I186903577","host_organization_name":"University of Luxembourg","host_organization_lineage":["https://openalex.org/I186903577"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Computational Optimization and Applications, 52 (3), 785-803 (2012)","raw_type":"peer reviewed"},{"id":"pmh:oai:rua.ua.es:10045/29039","is_oa":false,"landing_page_url":"http://hdl.handle.net/10045/29039","pdf_url":null,"source":{"id":"https://openalex.org/S4306400975","display_name":"RUA, Repositorio Institucional de la Universidad de Alicante (Universidad de Alicante)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I130194489","host_organization_name":"University of Alicante","host_organization_lineage":["https://openalex.org/I130194489"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:figshare.com:article/29018708","is_oa":true,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4377196282","display_name":"Figshare","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210132348","host_organization_name":"Figshare (United Kingdom)","host_organization_lineage":["https://openalex.org/I4210132348"],"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":"Journal contribution"},"sustainable_development_goals":[{"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10","score":0.6600000262260437}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W257907672","https://openalex.org/W1512226162","https://openalex.org/W1567995217","https://openalex.org/W1885121406","https://openalex.org/W1974950672","https://openalex.org/W1991203806","https://openalex.org/W1991568184","https://openalex.org/W1993647205","https://openalex.org/W2001506709","https://openalex.org/W2005669112","https://openalex.org/W2010134289","https://openalex.org/W2010337082","https://openalex.org/W2021210858","https://openalex.org/W2033316062","https://openalex.org/W2038497950","https://openalex.org/W2044249951","https://openalex.org/W2055711116","https://openalex.org/W2062941769","https://openalex.org/W2069007955","https://openalex.org/W2079004067","https://openalex.org/W2084777452","https://openalex.org/W2108059738","https://openalex.org/W2116174279","https://openalex.org/W2117744671","https://openalex.org/W2125946036","https://openalex.org/W2135779729","https://openalex.org/W2315311605","https://openalex.org/W2496276084","https://openalex.org/W2543381247","https://openalex.org/W3157341860","https://openalex.org/W4231183558"],"related_works":["https://openalex.org/W1561687547","https://openalex.org/W2369480152","https://openalex.org/W4287710035","https://openalex.org/W2017482687","https://openalex.org/W2368621955","https://openalex.org/W2972725323","https://openalex.org/W3158017144","https://openalex.org/W4383425433","https://openalex.org/W2068677575","https://openalex.org/W2011931970"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":2}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2016-06-24T00:00:00"}