{"id":"https://openalex.org/W2346414921","doi":"https://doi.org/10.1007/s10957-016-0942-x","title":"Convergence of Solutions of a Set Optimization Problem in the Image Space","display_name":"Convergence of Solutions of a Set Optimization Problem in the Image Space","publication_year":2016,"publication_date":"2016-05-03","ids":{"openalex":"https://openalex.org/W2346414921","doi":"https://doi.org/10.1007/s10957-016-0942-x","mag":"2346414921"},"language":"en","primary_location":{"id":"doi:10.1007/s10957-016-0942-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10957-016-0942-x","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/A5050992508","display_name":"C. Guti\u00e9rrez","orcid":"https://orcid.org/0000-0002-8223-2088"},"institutions":[{"id":"https://openalex.org/I108103353","display_name":"Universidad de Valladolid","ror":"https://ror.org/01fvbaw18","country_code":"ES","type":"education","lineage":["https://openalex.org/I108103353"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"C\u00e9sar Guti\u00e9rrez","raw_affiliation_strings":["Universidad de Valladolid, Paseo de Bel\u00e9n 15, Campus Miguel Delibes, 47011, Valladolid, Spain"],"affiliations":[{"raw_affiliation_string":"Universidad de Valladolid, Paseo de Bel\u00e9n 15, Campus Miguel Delibes, 47011, Valladolid, Spain","institution_ids":["https://openalex.org/I108103353"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5060886417","display_name":"Enrico Miglierina","orcid":"https://orcid.org/0000-0003-3493-8198"},"institutions":[{"id":"https://openalex.org/I103320735","display_name":"Universit\u00e0 Cattolica del Sacro Cuore","ror":"https://ror.org/03h7r5v07","country_code":"IT","type":"education","lineage":["https://openalex.org/I103320735"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Enrico Miglierina","raw_affiliation_strings":["Universit\u00e0 Cattolica del Sacro Cuore, Via Necchi 9, 20123, Milan, Italy"],"affiliations":[{"raw_affiliation_string":"Universit\u00e0 Cattolica del Sacro Cuore, Via Necchi 9, 20123, Milan, Italy","institution_ids":["https://openalex.org/I103320735"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5012556213","display_name":"Elena Molho","orcid":"https://orcid.org/0000-0001-9259-8916"},"institutions":[{"id":"https://openalex.org/I25217355","display_name":"University of Pavia","ror":"https://ror.org/00s6t1f81","country_code":"IT","type":"education","lineage":["https://openalex.org/I25217355"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Elena Molho","raw_affiliation_strings":["Universit\u00e0 degli Studi di Pavia, Via S. Felice 5, 27100, Pavia, Italy"],"affiliations":[{"raw_affiliation_string":"Universit\u00e0 degli Studi di Pavia, Via S. Felice 5, 27100, Pavia, Italy","institution_ids":["https://openalex.org/I25217355"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5001299859","display_name":"Vicente Novo","orcid":"https://orcid.org/0000-0001-9033-3180"},"institutions":[{"id":"https://openalex.org/I178450904","display_name":"National University of Distance Education","ror":"https://ror.org/02msb5n36","country_code":"ES","type":"education","lineage":["https://openalex.org/I178450904"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"Vicente Novo","raw_affiliation_strings":["Universidad Nacional de Educaci\u00f3n a Distancia (UNED), c/ Juan del Rosal 12, Ciudad Universitaria, 28040, Madrid, Spain"],"affiliations":[{"raw_affiliation_string":"Universidad Nacional de Educaci\u00f3n a Distancia (UNED), c/ Juan del Rosal 12, Ciudad Universitaria, 28040, Madrid, Spain","institution_ids":["https://openalex.org/I178450904"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5001299859"],"corresponding_institution_ids":["https://openalex.org/I178450904"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":2.1564,"has_fulltext":false,"cited_by_count":33,"citation_normalized_percentile":{"value":0.88237537,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"170","issue":"2","first_page":"358","last_page":"371"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9976000189781189,"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/T11413","display_name":"Risk and Portfolio Optimization","score":0.9940999746322632,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/vector-optimization","display_name":"Vector optimization","score":0.7638790607452393},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7610287666320801},{"id":"https://openalex.org/keywords/compact-space","display_name":"Compact space","score":0.691435694694519},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.6889055371284485},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.6537724137306213},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6355907320976257},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.6120449900627136},{"id":"https://openalex.org/keywords/extension","display_name":"Extension (predicate logic)","score":0.5934343934059143},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5701174736022949},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.563839316368103},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5627726316452026},{"id":"https://openalex.org/keywords/solution-set","display_name":"Solution set","score":0.4859710931777954},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.4654090702533722},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3270372748374939},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2728672921657562},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1821494698524475},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1098097562789917},{"id":"https://openalex.org/keywords/multi-swarm-optimization","display_name":"Multi-swarm optimization","score":0.08024784922599792}],"concepts":[{"id":"https://openalex.org/C164088818","wikidata":"https://www.wikidata.org/wiki/Q7917833","display_name":"Vector optimization","level":4,"score":0.7638790607452393},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7610287666320801},{"id":"https://openalex.org/C18648836","wikidata":"https://www.wikidata.org/wiki/Q381892","display_name":"Compact space","level":2,"score":0.691435694694519},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.6889055371284485},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.6537724137306213},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6355907320976257},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.6120449900627136},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.5934343934059143},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5701174736022949},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.563839316368103},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5627726316452026},{"id":"https://openalex.org/C60033838","wikidata":"https://www.wikidata.org/wiki/Q1751685","display_name":"Solution set","level":3,"score":0.4859710931777954},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.4654090702533722},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3270372748374939},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2728672921657562},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1821494698524475},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1098097562789917},{"id":"https://openalex.org/C122357587","wikidata":"https://www.wikidata.org/wiki/Q6934508","display_name":"Multi-swarm optimization","level":3,"score":0.08024784922599792},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"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/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","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},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10957-016-0942-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10957-016-0942-x","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:oai:RePEc:spr:joptap:v:170:y:2016:i:2:d:10.1007_s10957-016-0942-x","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s10957-016-0942-x","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321873","display_name":"Ministero dell\u2019Istruzione, dell\u2019Universit\u00e0 e della Ricerca","ror":"https://ror.org/0166hxq48"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W113278869","https://openalex.org/W596285643","https://openalex.org/W1582299569","https://openalex.org/W1585268704","https://openalex.org/W1971928711","https://openalex.org/W1988684434","https://openalex.org/W1991286247","https://openalex.org/W1995524686","https://openalex.org/W1998057492","https://openalex.org/W1999217356","https://openalex.org/W2005078085","https://openalex.org/W2006646699","https://openalex.org/W2008506262","https://openalex.org/W2015436753","https://openalex.org/W2015896647","https://openalex.org/W2016429743","https://openalex.org/W2017942050","https://openalex.org/W2031901440","https://openalex.org/W2035138741","https://openalex.org/W2035990529","https://openalex.org/W2061806510","https://openalex.org/W2088384926","https://openalex.org/W2113980920","https://openalex.org/W2132406365","https://openalex.org/W2149726897","https://openalex.org/W2564022600","https://openalex.org/W4231758816","https://openalex.org/W4240711020","https://openalex.org/W4249125060","https://openalex.org/W4255667420"],"related_works":["https://openalex.org/W2138511311","https://openalex.org/W2565276936","https://openalex.org/W2766340440","https://openalex.org/W4385713703","https://openalex.org/W2072886676","https://openalex.org/W1989726050","https://openalex.org/W4384574993","https://openalex.org/W2355658567","https://openalex.org/W109016340","https://openalex.org/W2371647654"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2026-04-22T08:38:42.863108","created_date":"2025-10-10T00:00:00"}
