{"id":"https://openalex.org/W2069426380","doi":"https://doi.org/10.1007/s10898-010-9546-4","title":"A generic approach to approximate efficiency and applications to vector optimization with set-valued maps","display_name":"A generic approach to approximate efficiency and applications to vector optimization with set-valued maps","publication_year":2010,"publication_date":"2010-04-04","ids":{"openalex":"https://openalex.org/W2069426380","doi":"https://doi.org/10.1007/s10898-010-9546-4","mag":"2069426380"},"language":"en","primary_location":{"id":"doi:10.1007/s10898-010-9546-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10898-010-9546-4","pdf_url":null,"source":{"id":"https://openalex.org/S115925768","display_name":"Journal of Global Optimization","issn_l":"0925-5001","issn":["0925-5001","1573-2916"],"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 Global 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/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":true,"raw_author_name":"C. Guti\u00e9rrez","raw_affiliation_strings":["Departamento de Matem\u00e1tica Aplicada, E.T.S.I. Inform\u00e1tica, Universidad de Valladolid, Paseo de Bel\u00e9n, 15, 47011, Valladolid, Spain","Departamento de Matem\u00e1tica Aplicada, E.T.S.I. Inform\u00e1tica, Universidad de Valladolid, Valladolid, Spain 47011#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1tica Aplicada, E.T.S.I. Inform\u00e1tica, Universidad de Valladolid, Paseo de Bel\u00e9n, 15, 47011, Valladolid, Spain","institution_ids":["https://openalex.org/I108103353"]},{"raw_affiliation_string":"Departamento de Matem\u00e1tica Aplicada, E.T.S.I. Inform\u00e1tica, Universidad de Valladolid, Valladolid, Spain 47011#TAB#","institution_ids":["https://openalex.org/I108103353"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5069972821","display_name":"Bienvenido Jim\u00e9nez","orcid":"https://orcid.org/0000-0003-1513-8590"},"institutions":[{"id":"https://openalex.org/I178450904","display_name":"Universidad Nacional de Educaci\u00f3n a Distancia","ror":"https://ror.org/02msb5n36","country_code":"ES","type":"education","lineage":["https://openalex.org/I178450904"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"B. Jim\u00e9nez","raw_affiliation_strings":["Departamento de Matem\u00e1tica Aplicada, E.T.S.I. Industriales, Universidad Nacional de Educaci\u00f3n a Distancia, c/Juan del Rosal, 12, 28040, Madrid, Spain","Departamento de Matem\u00e1tica Aplicada, E.T.S.I. Industriales, Universidad Nacional de Educaci\u00f3n a Distancia, Madrid, Spain 28040#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1tica Aplicada, E.T.S.I. Industriales, Universidad Nacional de Educaci\u00f3n a Distancia, c/Juan del Rosal, 12, 28040, Madrid, Spain","institution_ids":["https://openalex.org/I178450904"]},{"raw_affiliation_string":"Departamento de Matem\u00e1tica Aplicada, E.T.S.I. Industriales, Universidad Nacional de Educaci\u00f3n a Distancia, Madrid, Spain 28040#TAB#","institution_ids":["https://openalex.org/I178450904"]}]},{"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":"Universidad Nacional de Educaci\u00f3n a Distancia","ror":"https://ror.org/02msb5n36","country_code":"ES","type":"education","lineage":["https://openalex.org/I178450904"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"V. Novo","raw_affiliation_strings":["Departamento de Matem\u00e1tica Aplicada, E.T.S.I. Industriales, Universidad Nacional de Educaci\u00f3n a Distancia, c/Juan del Rosal, 12, 28040, Madrid, Spain","Departamento de Matem\u00e1tica Aplicada, E.T.S.I. Industriales, Universidad Nacional de Educaci\u00f3n a Distancia, Madrid, Spain 28040#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1tica Aplicada, E.T.S.I. Industriales, Universidad Nacional de Educaci\u00f3n a Distancia, c/Juan del Rosal, 12, 28040, Madrid, Spain","institution_ids":["https://openalex.org/I178450904"]},{"raw_affiliation_string":"Departamento de Matem\u00e1tica Aplicada, E.T.S.I. Industriales, Universidad Nacional de Educaci\u00f3n a Distancia, Madrid, Spain 28040#TAB#","institution_ids":["https://openalex.org/I178450904"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5050992508"],"corresponding_institution_ids":["https://openalex.org/I108103353"],"apc_list":{"value":2190,"currency":"EUR","value_usd":2780},"apc_paid":null,"fwci":1.0314,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":{"value":0.77739587,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"49","issue":"2","first_page":"313","last_page":"342"},"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":0.9962999820709229,"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":0.9646999835968018,"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/mathematics","display_name":"Mathematics","score":0.859035313129425},{"id":"https://openalex.org/keywords/hausdorff-space","display_name":"Hausdorff space","score":0.6746398210525513},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.6512197256088257},{"id":"https://openalex.org/keywords/hausdorff-distance","display_name":"Hausdorff distance","score":0.6204863786697388},{"id":"https://openalex.org/keywords/vector-optimization","display_name":"Vector optimization","score":0.6140012741088867},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.6070629954338074},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.5431304574012756},{"id":"https://openalex.org/keywords/focus","display_name":"Focus (optics)","score":0.4888281226158142},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.4670138955116272},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4465484619140625},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.3930942118167877},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.33917301893234253},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3347599506378174},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1279163360595703},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.10571855306625366},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.06059393286705017}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.859035313129425},{"id":"https://openalex.org/C191399826","wikidata":"https://www.wikidata.org/wiki/Q326908","display_name":"Hausdorff space","level":2,"score":0.6746398210525513},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.6512197256088257},{"id":"https://openalex.org/C141898687","wikidata":"https://www.wikidata.org/wiki/Q1501997","display_name":"Hausdorff distance","level":2,"score":0.6204863786697388},{"id":"https://openalex.org/C164088818","wikidata":"https://www.wikidata.org/wiki/Q7917833","display_name":"Vector optimization","level":4,"score":0.6140012741088867},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.6070629954338074},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.5431304574012756},{"id":"https://openalex.org/C192209626","wikidata":"https://www.wikidata.org/wiki/Q190909","display_name":"Focus (optics)","level":2,"score":0.4888281226158142},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.4670138955116272},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4465484619140625},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.3930942118167877},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.33917301893234253},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3347599506378174},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1279163360595703},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.10571855306625366},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.06059393286705017},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0},{"id":"https://openalex.org/C122357587","wikidata":"https://www.wikidata.org/wiki/Q6934508","display_name":"Multi-swarm optimization","level":3,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","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/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10898-010-9546-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10898-010-9546-4","pdf_url":null,"source":{"id":"https://openalex.org/S115925768","display_name":"Journal of Global Optimization","issn_l":"0925-5001","issn":["0925-5001","1573-2916"],"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 Global Optimization","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:spr:jglopt:v:49:y:2011:i:2:p:313-342","is_oa":false,"landing_page_url":"http://hdl.handle.net/10.1007/s10898-010-9546-4","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":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W22455350","https://openalex.org/W89037727","https://openalex.org/W117217602","https://openalex.org/W615792514","https://openalex.org/W1554939947","https://openalex.org/W1560426705","https://openalex.org/W1582299569","https://openalex.org/W1585268704","https://openalex.org/W1980325299","https://openalex.org/W1990023680","https://openalex.org/W1990923130","https://openalex.org/W1996762907","https://openalex.org/W1997574471","https://openalex.org/W1997655709","https://openalex.org/W1997843257","https://openalex.org/W2018127805","https://openalex.org/W2025474048","https://openalex.org/W2028337605","https://openalex.org/W2033779436","https://openalex.org/W2037227885","https://openalex.org/W2037534711","https://openalex.org/W2041461926","https://openalex.org/W2068066370","https://openalex.org/W2076342708","https://openalex.org/W2084726813","https://openalex.org/W2113980920","https://openalex.org/W2157809688","https://openalex.org/W2164839060","https://openalex.org/W2594483763","https://openalex.org/W2802620382","https://openalex.org/W2914548405","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2082260245","https://openalex.org/W188711498","https://openalex.org/W1971871035","https://openalex.org/W2103616586","https://openalex.org/W1604480337","https://openalex.org/W1973241831","https://openalex.org/W3122699814","https://openalex.org/W4383067158","https://openalex.org/W2413329969","https://openalex.org/W2915731800"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-06-19T15:47:20.252518","created_date":"2025-10-10T00:00:00"}
