{"id":"https://openalex.org/W2018207129","doi":"https://doi.org/10.1137/s1052623499359804","title":"Epiconvergence of Convexly Composite Functions in Banach Spaces","display_name":"Epiconvergence of Convexly Composite Functions in Banach Spaces","publication_year":2003,"publication_date":"2003-01-01","ids":{"openalex":"https://openalex.org/W2018207129","doi":"https://doi.org/10.1137/s1052623499359804","mag":"2018207129"},"language":"en","primary_location":{"id":"doi:10.1137/s1052623499359804","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s1052623499359804","pdf_url":null,"source":{"id":"https://openalex.org/S928796702","display_name":"SIAM Journal on Optimization","issn_l":"1052-6234","issn":["1052-6234","1095-7189"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on 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/A5007876848","display_name":"C. Combari","orcid":null},"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":"Christophe Combari","raw_affiliation_strings":["Montpellier 2 University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Montpellier 2 University","institution_ids":["https://openalex.org/I19894307"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5065041515","display_name":"Lionel Thibault","orcid":"https://orcid.org/0000-0002-4172-1301"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Lionel Thibault","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.72,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.70353552,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"13","issue":"4","first_page":"986","last_page":"1003"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9991999864578247,"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":0.9991999864578247,"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/T12062","display_name":"Approximation Theory and Sequence Spaces","score":0.9966999888420105,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"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/T11205","display_name":"Numerical methods in inverse problems","score":0.9883999824523926,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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":0.8298925161361694},{"id":"https://openalex.org/keywords/banach-space","display_name":"Banach space","score":0.685469925403595},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6671093106269836},{"id":"https://openalex.org/keywords/composite-number","display_name":"Composite number","score":0.6541813611984253},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.5760303735733032},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4404013454914093},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.42235037684440613},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2687712013721466},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.1677553653717041}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8298925161361694},{"id":"https://openalex.org/C132954091","wikidata":"https://www.wikidata.org/wiki/Q194397","display_name":"Banach space","level":2,"score":0.685469925403595},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6671093106269836},{"id":"https://openalex.org/C104779481","wikidata":"https://www.wikidata.org/wiki/Q50707","display_name":"Composite number","level":2,"score":0.6541813611984253},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.5760303735733032},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4404013454914093},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.42235037684440613},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2687712013721466},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.1677553653717041},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/s1052623499359804","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s1052623499359804","pdf_url":null,"source":{"id":"https://openalex.org/S928796702","display_name":"SIAM Journal on Optimization","issn_l":"1052-6234","issn":["1052-6234","1095-7189"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Optimization","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W1517403807","https://openalex.org/W1969331293","https://openalex.org/W1991568184","https://openalex.org/W2004161066","https://openalex.org/W2018508199","https://openalex.org/W2046144679","https://openalex.org/W2053239381","https://openalex.org/W2067032400","https://openalex.org/W2079488098","https://openalex.org/W2084673064","https://openalex.org/W2116598569","https://openalex.org/W2324259566","https://openalex.org/W2737756950","https://openalex.org/W4233371490","https://openalex.org/W4239970194","https://openalex.org/W4249124857","https://openalex.org/W4249513058"],"related_works":["https://openalex.org/W2365574773","https://openalex.org/W2131103914","https://openalex.org/W1974987648","https://openalex.org/W2472099146","https://openalex.org/W3120922078","https://openalex.org/W1517908938","https://openalex.org/W2078953312","https://openalex.org/W2383574031","https://openalex.org/W4317939968","https://openalex.org/W1507633639"],"abstract_inverted_index":{"This":[0],"paper":[1],"gives":[2],"conditions":[3],"ensuring":[4],"the":[5,16],"epiconvergence":[6],"or":[7],"$\\Gamma$-convergence":[8],"of":[9,11,18,21,24,28,30],"sequences":[10],"convexly":[12,35],"composite":[13,36],"functions":[14,37],"via":[15],"study":[17],"Painlev\u00e9--Kuratowski":[19],"convergence":[20,27],"inverse":[22],"images":[23],"sets.":[25],"The":[26],"multipliers":[29],"optimization":[31],"problems":[32],"associated":[33],"with":[34],"is":[38],"also":[39],"established.":[40]},"counts_by_year":[{"year":2014,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}