{"id":"https://openalex.org/W2005007735","doi":"https://doi.org/10.1007/s10107-005-0618-z","title":"Metric regularity of semi-infinite constraint systems","display_name":"Metric regularity of semi-infinite constraint systems","publication_year":2005,"publication_date":"2005-07-14","ids":{"openalex":"https://openalex.org/W2005007735","doi":"https://doi.org/10.1007/s10107-005-0618-z","mag":"2005007735"},"language":"en","primary_location":{"id":"doi:10.1007/s10107-005-0618-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10107-005-0618-z","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/A5060211619","display_name":"M. J. C\u00e1novas","orcid":"https://orcid.org/0000-0002-1320-485X"},"institutions":[{"id":"https://openalex.org/I111262870","display_name":"Universitat de Miguel Hern\u00e1ndez d'Elx","ror":"https://ror.org/01azzms13","country_code":"ES","type":"education","lineage":["https://openalex.org/I111262870"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"M.J. C\u00e1novas","raw_affiliation_strings":["Operations Research Center, Miguel Hern\u00e1ndez University of Elche, 03202, Elche (Alicante), Spain","Operations Research Center, Miguel Hern\u00e1ndez University of Elche, 03202 Elche (Alicante), Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Operations Research Center, Miguel Hern\u00e1ndez University of Elche, 03202, Elche (Alicante), Spain","institution_ids":["https://openalex.org/I111262870"]},{"raw_affiliation_string":"Operations Research Center, Miguel Hern\u00e1ndez University of Elche, 03202 Elche (Alicante), Spain","institution_ids":["https://openalex.org/I111262870"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5083269925","display_name":"Asen L. Dontchev","orcid":"https://orcid.org/0000-0003-3160-7828"},"institutions":[{"id":"https://openalex.org/I4210159850","display_name":"Annual Reviews","ror":"https://ror.org/05r2g1b90","country_code":"US","type":"nonprofit","lineage":["https://openalex.org/I4210159850"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"A.L. Dontchev","raw_affiliation_strings":["Mathematical Reviews, Ann Arbor, MI, 48107-8604, USA","Mathematical Reviews, 48107-8604, Ann Arbor, MI, USA#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematical Reviews, Ann Arbor, MI, 48107-8604, USA","institution_ids":["https://openalex.org/I4210159850"]},{"raw_affiliation_string":"Mathematical Reviews, 48107-8604, Ann Arbor, MI, USA#TAB#","institution_ids":["https://openalex.org/I4210159850"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100715600","display_name":"Marco A. L\u00f3pez","orcid":"https://orcid.org/0000-0002-0619-9618"},"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":false,"raw_author_name":"M.A. L\u00f3pez","raw_affiliation_strings":["Department of Statistics and Operations Research, University of Alicante, 03071, Alicante, Spain","Department of Statistics and Operations Research, University of Alicante, 03071, Alicante, MI, Spain#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Statistics and Operations Research, University of Alicante, 03071, Alicante, Spain","institution_ids":["https://openalex.org/I130194489"]},{"raw_affiliation_string":"Department of Statistics and Operations Research, University of Alicante, 03071, Alicante, MI, Spain#TAB#","institution_ids":["https://openalex.org/I130194489"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5084439364","display_name":"J. Parra","orcid":"https://orcid.org/0000-0001-8864-975X"},"institutions":[{"id":"https://openalex.org/I111262870","display_name":"Universitat de Miguel Hern\u00e1ndez d'Elx","ror":"https://ror.org/01azzms13","country_code":"ES","type":"education","lineage":["https://openalex.org/I111262870"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"J. Parra","raw_affiliation_strings":["Operations Research Center, Miguel Hern\u00e1ndez University of Elche, 03202, Elche (Alicante), Spain","Operations Research Center, Miguel Hern\u00e1ndez University of Elche, 03202 Elche (Alicante), Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Operations Research Center, Miguel Hern\u00e1ndez University of Elche, 03202, Elche (Alicante), Spain","institution_ids":["https://openalex.org/I111262870"]},{"raw_affiliation_string":"Operations Research Center, Miguel Hern\u00e1ndez University of Elche, 03202 Elche (Alicante), Spain","institution_ids":["https://openalex.org/I111262870"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5083269925"],"corresponding_institution_ids":["https://openalex.org/I4210159850"],"apc_list":{"value":2190,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":3.6583,"has_fulltext":false,"cited_by_count":74,"citation_normalized_percentile":{"value":0.93159928,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"104","issue":"2-3","first_page":"329","last_page":"346"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9997000098228455,"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":0.9997000098228455,"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":0.996999979019165,"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/T12508","display_name":"Functional Equations Stability Results","score":0.9876000285148621,"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":0.9151939749717712},{"id":"https://openalex.org/keywords/infimum-and-supremum","display_name":"Infimum and supremum","score":0.7034778594970703},{"id":"https://openalex.org/keywords/modulus-of-continuity","display_name":"Modulus of continuity","score":0.6642162203788757},{"id":"https://openalex.org/keywords/uniform-norm","display_name":"Uniform norm","score":0.6111100316047668},{"id":"https://openalex.org/keywords/extension","display_name":"Extension (predicate logic)","score":0.5834981799125671},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.555612325668335},{"id":"https://openalex.org/keywords/reciprocal","display_name":"Reciprocal","score":0.5315287709236145},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.4701267182826996},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4398892819881439},{"id":"https://openalex.org/keywords/metric","display_name":"Metric (unit)","score":0.4375167489051819},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.4266115427017212},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4091244339942932},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.3674013018608093},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.35300248861312866},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.12395524978637695}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9151939749717712},{"id":"https://openalex.org/C95611797","wikidata":"https://www.wikidata.org/wiki/Q17502105","display_name":"Infimum and supremum","level":2,"score":0.7034778594970703},{"id":"https://openalex.org/C3098717","wikidata":"https://www.wikidata.org/wiki/Q1144872","display_name":"Modulus of continuity","level":3,"score":0.6642162203788757},{"id":"https://openalex.org/C146324458","wikidata":"https://www.wikidata.org/wiki/Q1202673","display_name":"Uniform norm","level":2,"score":0.6111100316047668},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.5834981799125671},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.555612325668335},{"id":"https://openalex.org/C2777742833","wikidata":"https://www.wikidata.org/wiki/Q1964083","display_name":"Reciprocal","level":2,"score":0.5315287709236145},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.4701267182826996},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4398892819881439},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.4375167489051819},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.4266115427017212},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4091244339942932},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.3674013018608093},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.35300248861312866},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.12395524978637695},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C21547014","wikidata":"https://www.wikidata.org/wiki/Q1423657","display_name":"Operations management","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"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/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},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10107-005-0618-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10107-005-0618-z","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:rua.ua.es:10045/75151","is_oa":false,"landing_page_url":"http://hdl.handle.net/10045/75151","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":null,"sustainable_development_goals":[{"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10","score":0.5}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W8495306","https://openalex.org/W83112366","https://openalex.org/W187928793","https://openalex.org/W1534416612","https://openalex.org/W1549624355","https://openalex.org/W1553702074","https://openalex.org/W1597774471","https://openalex.org/W1632219083","https://openalex.org/W1987898022","https://openalex.org/W1991203806","https://openalex.org/W1992386684","https://openalex.org/W2004026774","https://openalex.org/W2011451855","https://openalex.org/W2018508199","https://openalex.org/W2032112832","https://openalex.org/W2033316062","https://openalex.org/W2038398448","https://openalex.org/W2040628068","https://openalex.org/W2040741036","https://openalex.org/W2045152979","https://openalex.org/W2065012719","https://openalex.org/W2083887146","https://openalex.org/W2123864431","https://openalex.org/W2157652431","https://openalex.org/W2183545872","https://openalex.org/W2332826731","https://openalex.org/W4249513058","https://openalex.org/W4249667877","https://openalex.org/W4253214256"],"related_works":["https://openalex.org/W2058142146","https://openalex.org/W3171267590","https://openalex.org/W2035984587","https://openalex.org/W4385292186","https://openalex.org/W4240330603","https://openalex.org/W2084355591","https://openalex.org/W3101736879","https://openalex.org/W2089003879","https://openalex.org/W3006853787","https://openalex.org/W2058085174"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":10},{"year":2012,"cited_by_count":10}],"updated_date":"2026-06-19T15:47:20.252518","created_date":"2016-06-24T00:00:00"}
