{"id":"https://openalex.org/W1981305726","doi":"https://doi.org/10.1007/s11590-015-0850-2","title":"Vector critical points and efficiency in vector optimization with Lipschitz functions","display_name":"Vector critical points and efficiency in vector optimization with Lipschitz functions","publication_year":2015,"publication_date":"2015-01-17","ids":{"openalex":"https://openalex.org/W1981305726","doi":"https://doi.org/10.1007/s11590-015-0850-2","mag":"1981305726"},"language":"en","primary_location":{"id":"doi:10.1007/s11590-015-0850-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11590-015-0850-2","pdf_url":null,"source":{"id":"https://openalex.org/S12647387","display_name":"Optimization Letters","issn_l":"1862-4472","issn":["1862-4472","1862-4480"],"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":"Optimization Letters","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":["E.T.S. de Ingenieros de Telecomunicaci\u00f3n, Universidad de Valladolid, Paseo de Bel\u00e9n 15, Campus Miguel Delibes, 47011, Valladolid, Spain","E.T.S. de Ingenieros de Telecomunicaci\u00f3n, Universidad de Valladolid, Valladolid, Spain"],"affiliations":[{"raw_affiliation_string":"E.T.S. de Ingenieros de Telecomunicaci\u00f3n, Universidad de Valladolid, Paseo de Bel\u00e9n 15, Campus Miguel Delibes, 47011, Valladolid, Spain","institution_ids":["https://openalex.org/I108103353"]},{"raw_affiliation_string":"E.T.S. de Ingenieros de Telecomunicaci\u00f3n, Universidad de Valladolid, Valladolid, Spain","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":"National University of Distance Education","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 (UNED), 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 (UNED) , Madrid, Spain"],"affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1tica Aplicada, E.T.S.I. Industriales, Universidad Nacional de Educaci\u00f3n a Distancia (UNED), 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 (UNED) , Madrid, Spain","institution_ids":["https://openalex.org/I178450904"]}]},{"author_position":"middle","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":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 (UNED), 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 (UNED) , Madrid, Spain"],"affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1tica Aplicada, E.T.S.I. Industriales, Universidad Nacional de Educaci\u00f3n a Distancia (UNED), 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 (UNED) , Madrid, Spain","institution_ids":["https://openalex.org/I178450904"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5013613351","display_name":"Gabriel Ruiz Garz\u00f3n","orcid":"https://orcid.org/0000-0003-0639-3776"},"institutions":[{"id":"https://openalex.org/I39147953","display_name":"Universidad de C\u00e1diz","ror":"https://ror.org/04mxxkb11","country_code":"ES","type":"education","lineage":["https://openalex.org/I39147953"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"G. Ruiz-Garz\u00f3n","raw_affiliation_strings":["Departamento de Estad\u00edstica e I.O, Universidad de C\u00e1diz, Campus de Jerez de la Frontera, Avda. de la Universidad s/n, 11405, Jerez de la Frontera, C\u00e1diz, Spain","Departamento de Estad\u00edstica e I.O, Universidad de C\u00e1diz, Jerez de la Frontera, Spain"],"affiliations":[{"raw_affiliation_string":"Departamento de Estad\u00edstica e I.O, Universidad de C\u00e1diz, Campus de Jerez de la Frontera, Avda. de la Universidad s/n, 11405, Jerez de la Frontera, C\u00e1diz, Spain","institution_ids":["https://openalex.org/I39147953"]},{"raw_affiliation_string":"Departamento de Estad\u00edstica e I.O, Universidad de C\u00e1diz, Jerez de la Frontera, Spain","institution_ids":["https://openalex.org/I39147953"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5050992508"],"corresponding_institution_ids":["https://openalex.org/I108103353"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.7276,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.736544,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"10","issue":"1","first_page":"47","last_page":"62"},"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":0.9966999888420105,"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/T12672","display_name":"Phagocytosis and Immune Regulation","score":0.9639999866485596,"subfield":{"id":"https://openalex.org/subfields/2403","display_name":"Immunology"},"field":{"id":"https://openalex.org/fields/24","display_name":"Immunology and Microbiology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/lipschitz-continuity","display_name":"Lipschitz continuity","score":0.8489019870758057},{"id":"https://openalex.org/keywords/jacobian-matrix-and-determinant","display_name":"Jacobian matrix and determinant","score":0.7323511242866516},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7045865058898926},{"id":"https://openalex.org/keywords/vector-optimization","display_name":"Vector optimization","score":0.6849505305290222},{"id":"https://openalex.org/keywords/vector-valued-function","display_name":"Vector-valued function","score":0.5904441475868225},{"id":"https://openalex.org/keywords/ideal","display_name":"Ideal (ethics)","score":0.4988584518432617},{"id":"https://openalex.org/keywords/computational-intelligence","display_name":"Computational intelligence","score":0.43929511308670044},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4376833736896515},{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.43189772963523865},{"id":"https://openalex.org/keywords/connection","display_name":"Connection (principal bundle)","score":0.4281710684299469},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.42024660110473633},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.38247859477996826},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.32138967514038086},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.22381910681724548},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.060820072889328}],"concepts":[{"id":"https://openalex.org/C22324862","wikidata":"https://www.wikidata.org/wiki/Q652707","display_name":"Lipschitz continuity","level":2,"score":0.8489019870758057},{"id":"https://openalex.org/C200331156","wikidata":"https://www.wikidata.org/wiki/Q506041","display_name":"Jacobian matrix and determinant","level":2,"score":0.7323511242866516},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7045865058898926},{"id":"https://openalex.org/C164088818","wikidata":"https://www.wikidata.org/wiki/Q7917833","display_name":"Vector optimization","level":4,"score":0.6849505305290222},{"id":"https://openalex.org/C2456702","wikidata":"https://www.wikidata.org/wiki/Q1375954","display_name":"Vector-valued function","level":2,"score":0.5904441475868225},{"id":"https://openalex.org/C2776639384","wikidata":"https://www.wikidata.org/wiki/Q840396","display_name":"Ideal (ethics)","level":2,"score":0.4988584518432617},{"id":"https://openalex.org/C139502532","wikidata":"https://www.wikidata.org/wiki/Q1122090","display_name":"Computational intelligence","level":2,"score":0.43929511308670044},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4376833736896515},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.43189772963523865},{"id":"https://openalex.org/C13355873","wikidata":"https://www.wikidata.org/wiki/Q2920850","display_name":"Connection (principal bundle)","level":2,"score":0.4281710684299469},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.42024660110473633},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.38247859477996826},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.32138967514038086},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.22381910681724548},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.060820072889328},{"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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11590-015-0850-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11590-015-0850-2","pdf_url":null,"source":{"id":"https://openalex.org/S12647387","display_name":"Optimization Letters","issn_l":"1862-4472","issn":["1862-4472","1862-4480"],"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":"Optimization Letters","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321837","display_name":"Ministerio de Econom\u00eda y Competitividad","ror":"https://ror.org/034900433"},{"id":"https://openalex.org/F4320322930","display_name":"Ministerio de Ciencia e Innovaci\u00f3n","ror":"https://ror.org/034900433"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W52722246","https://openalex.org/W1551360398","https://openalex.org/W1574936051","https://openalex.org/W1920755877","https://openalex.org/W1965291583","https://openalex.org/W1969573529","https://openalex.org/W1992424656","https://openalex.org/W1997616845","https://openalex.org/W2054386376","https://openalex.org/W2055440672","https://openalex.org/W2066660706","https://openalex.org/W2079479228","https://openalex.org/W2089811279","https://openalex.org/W4249667877"],"related_works":["https://openalex.org/W1983191388","https://openalex.org/W2064106379","https://openalex.org/W2013374813","https://openalex.org/W2982452992","https://openalex.org/W1992155926","https://openalex.org/W1970875335","https://openalex.org/W2368629129","https://openalex.org/W2766340440","https://openalex.org/W2017490974","https://openalex.org/W3139624985"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2020,"cited_by_count":4},{"year":2017,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}