{"id":"https://openalex.org/W1993193620","doi":"https://doi.org/10.1007/s10957-012-0086-6","title":"Stationarity and Regularity of Infinite Collections of Sets. Applications to Infinitely Constrained Optimization","display_name":"Stationarity and Regularity of Infinite Collections of Sets. Applications to Infinitely Constrained Optimization","publication_year":2012,"publication_date":"2012-05-30","ids":{"openalex":"https://openalex.org/W1993193620","doi":"https://doi.org/10.1007/s10957-012-0086-6","mag":"1993193620"},"language":"en","primary_location":{"id":"doi:10.1007/s10957-012-0086-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10957-012-0086-6","pdf_url":null,"source":{"id":"https://openalex.org/S52430896","display_name":"Journal of Optimization Theory and Applications","issn_l":"0022-3239","issn":["0022-3239","1573-2878"],"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":"Journal of Optimization Theory and Applications","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/A5058923248","display_name":"Alexander Y. Kruger","orcid":"https://orcid.org/0000-0002-7861-7380"},"institutions":[{"id":"https://openalex.org/I149672521","display_name":"Federation University","ror":"https://ror.org/05qbzwv83","country_code":"AU","type":"education","lineage":["https://openalex.org/I149672521"]}],"countries":["AU"],"is_corresponding":true,"raw_author_name":"Alexander Y. Kruger","raw_affiliation_strings":["Centre for Informatics and Applied Optimization, School of Science, Information Technology and Engineering, University of Ballarat, P.O. Box 663, Ballarat, Victoria, 3350, Australia","University of Ballarat"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Centre for Informatics and Applied Optimization, School of Science, Information Technology and Engineering, University of Ballarat, P.O. Box 663, Ballarat, Victoria, 3350, Australia","institution_ids":["https://openalex.org/I149672521"]},{"raw_affiliation_string":"University of Ballarat","institution_ids":["https://openalex.org/I149672521"]}]},{"author_position":"last","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":"Marco A. L\u00f3pez","raw_affiliation_strings":["Department of Statistics and Operations Research, University of Alicante, 03080, Alicante, Spain","University of Alicante,"],"raw_orcid":null,"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"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5058923248"],"corresponding_institution_ids":["https://openalex.org/I149672521"],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":null,"fwci":1.2946,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.79818555,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"155","issue":"2","first_page":"390","last_page":"416"},"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":0.9980999827384949,"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":0.9860000014305115,"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/banach-space","display_name":"Banach space","score":0.7958168387413025},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.778609037399292},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.739206075668335},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.5644710659980774},{"id":"https://openalex.org/keywords/dual","display_name":"Dual (grammatical number)","score":0.5170929431915283},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.501563549041748},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3990091383457184},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.350513219833374},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3460181951522827},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3211846351623535},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.19458115100860596},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.19289234280586243}],"concepts":[{"id":"https://openalex.org/C132954091","wikidata":"https://www.wikidata.org/wiki/Q194397","display_name":"Banach space","level":2,"score":0.7958168387413025},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.778609037399292},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.739206075668335},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.5644710659980774},{"id":"https://openalex.org/C2780980858","wikidata":"https://www.wikidata.org/wiki/Q110022","display_name":"Dual (grammatical number)","level":2,"score":0.5170929431915283},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.501563549041748},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3990091383457184},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.350513219833374},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3460181951522827},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3211846351623535},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.19458115100860596},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.19289234280586243},{"id":"https://openalex.org/C142362112","wikidata":"https://www.wikidata.org/wiki/Q735","display_name":"Art","level":0,"score":0.0},{"id":"https://openalex.org/C124952713","wikidata":"https://www.wikidata.org/wiki/Q8242","display_name":"Literature","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1007/s10957-012-0086-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10957-012-0086-6","pdf_url":null,"source":{"id":"https://openalex.org/S52430896","display_name":"Journal of Optimization Theory and Applications","issn_l":"0022-3239","issn":["0022-3239","1573-2878"],"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":"Journal of Optimization Theory and Applications","raw_type":"journal-article"},{"id":"pmh:vital:13379","is_oa":false,"landing_page_url":"http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/166000","pdf_url":null,"source":{"id":"https://openalex.org/S4306400234","display_name":"FedUni ResearchOnline (Federation University Australia)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210158496","host_organization_name":"Australian Federation of University Women \u2013 South Australia","host_organization_lineage":["https://openalex.org/I4210158496"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.416.4397","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.416.4397","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.optimization-online.org/DB_FILE/2011/12/3287.pdf","raw_type":"text"},{"id":"pmh:oai:RePEc:spr:joptap:v:155:y:2012:i:2:d:10.1007_s10957-012-0086-6","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s10957-012-0086-6","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:dnet:ruarepositor::3a8212a6336b22cb1b9abc61c144b36b","is_oa":false,"landing_page_url":"http://hdl.handle.net/10045/36008","pdf_url":null,"source":{"id":"https://openalex.org/S4306402641","display_name":"LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Cient\u00edficas)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4383465926","host_organization_name":"LA Referencia","host_organization_lineage":["https://openalex.org/I4383465926"],"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":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":39,"referenced_works":["https://openalex.org/W75278000","https://openalex.org/W83112366","https://openalex.org/W1550118512","https://openalex.org/W1561193340","https://openalex.org/W1975688741","https://openalex.org/W1998611061","https://openalex.org/W2003678808","https://openalex.org/W2004011163","https://openalex.org/W2005007735","https://openalex.org/W2017450869","https://openalex.org/W2021305110","https://openalex.org/W2023247805","https://openalex.org/W2031840936","https://openalex.org/W2032498597","https://openalex.org/W2038998663","https://openalex.org/W2040427335","https://openalex.org/W2043136268","https://openalex.org/W2044355818","https://openalex.org/W2054461902","https://openalex.org/W2054919724","https://openalex.org/W2055069316","https://openalex.org/W2071614036","https://openalex.org/W2073875740","https://openalex.org/W2077413285","https://openalex.org/W2091734373","https://openalex.org/W2107801746","https://openalex.org/W2127709338","https://openalex.org/W2129353652","https://openalex.org/W2136553956","https://openalex.org/W2152429721","https://openalex.org/W2153562582","https://openalex.org/W2165357167","https://openalex.org/W2169696642","https://openalex.org/W2173273258","https://openalex.org/W2913806414","https://openalex.org/W3157341860","https://openalex.org/W4249513058","https://openalex.org/W4253473510","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2317351040","https://openalex.org/W4250775169","https://openalex.org/W4285447065","https://openalex.org/W1988622314","https://openalex.org/W2393949104","https://openalex.org/W3046201198","https://openalex.org/W4293061921","https://openalex.org/W2952466936","https://openalex.org/W2807441102","https://openalex.org/W3168886930"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":5},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2014,"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"}