{"id":"https://openalex.org/W2039887265","doi":"https://doi.org/10.1007/s10957-013-0393-6","title":"Optimality Conditions for Quasi-Solutions of Vector Optimization Problems","display_name":"Optimality Conditions for Quasi-Solutions of Vector Optimization Problems","publication_year":2013,"publication_date":"2013-09-03","ids":{"openalex":"https://openalex.org/W2039887265","doi":"https://doi.org/10.1007/s10957-013-0393-6","mag":"2039887265"},"language":"en","primary_location":{"id":"doi:10.1007/s10957-013-0393-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10957-013-0393-6","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/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. de Ingenieros de Telecomunicaci\u00f3n, Universidad de Valladolid, Paseo de Bel\u00e9n 15, Campus Miguel Delibes, 47011, Valladolid, Spain","Departamento de Matem\u00e1tica Aplicada, E.T.S. de Ingenieros de Telecomunicaci\u00f3n, Universidad de Valladolid, Valladolid, Spain","Departamento de Matem\u00e1tica Aplicada, E.T.S. de Ingenieros de Telecomunicaci\u00f3n, Universidad de Valladolid, Valladolid, Spain 47011#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1tica Aplicada, 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":"Departamento de Matem\u00e1tica Aplicada, E.T.S. de Ingenieros de Telecomunicaci\u00f3n, Universidad de Valladolid, Valladolid, Spain","institution_ids":["https://openalex.org/I108103353"]},{"raw_affiliation_string":"Departamento de Matem\u00e1tica Aplicada, E.T.S. de Ingenieros de Telecomunicaci\u00f3n, 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":true,"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, Calle Juan del Rosal 12, Ciudad Universitaria, 28040, Madrid, Spain","Departamento de Matem\u00e1tica Aplicada, E.T.S.I. Industriales, Universidad Nacional de Educaci\u00f3n a Distancia, 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, Calle Juan del Rosal 12, Ciudad Universitaria, 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","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":true,"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, Calle Juan del Rosal 12, Ciudad Universitaria, 28040, Madrid, Spain","Departamento de Matem\u00e1tica Aplicada, E.T.S.I. Industriales, Universidad Nacional de Educaci\u00f3n a Distancia, 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, Calle Juan del Rosal 12, Ciudad Universitaria, 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","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/A5001299859","https://openalex.org/A5050992508","https://openalex.org/A5069972821"],"corresponding_institution_ids":["https://openalex.org/I108103353","https://openalex.org/I178450904"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.7449,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.73444181,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"167","issue":"3","first_page":"796","last_page":"820"},"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/T12809","display_name":"Contact Mechanics and Variational Inequalities","score":0.994700014591217,"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":0.9916999936103821,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8344489336013794},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.7917442321777344},{"id":"https://openalex.org/keywords/subderivative","display_name":"Subderivative","score":0.752850353717804},{"id":"https://openalex.org/keywords/convexity","display_name":"Convexity","score":0.7061965465545654},{"id":"https://openalex.org/keywords/lagrange-multiplier","display_name":"Lagrange multiplier","score":0.7041849493980408},{"id":"https://openalex.org/keywords/vector-optimization","display_name":"Vector optimization","score":0.6269174814224243},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5616748332977295},{"id":"https://openalex.org/keywords/variational-analysis","display_name":"Variational analysis","score":0.49261289834976196},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.4684128165245056},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.46750175952911377},{"id":"https://openalex.org/keywords/nonlinear-programming","display_name":"Nonlinear programming","score":0.42988157272338867},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.41340571641921997},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.35437437891960144},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.2680477499961853},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.11995020508766174}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8344489336013794},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.7917442321777344},{"id":"https://openalex.org/C200661725","wikidata":"https://www.wikidata.org/wiki/Q289500","display_name":"Subderivative","level":4,"score":0.752850353717804},{"id":"https://openalex.org/C72134830","wikidata":"https://www.wikidata.org/wiki/Q5166524","display_name":"Convexity","level":2,"score":0.7061965465545654},{"id":"https://openalex.org/C73684929","wikidata":"https://www.wikidata.org/wiki/Q598870","display_name":"Lagrange multiplier","level":2,"score":0.7041849493980408},{"id":"https://openalex.org/C164088818","wikidata":"https://www.wikidata.org/wiki/Q7917833","display_name":"Vector optimization","level":4,"score":0.6269174814224243},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5616748332977295},{"id":"https://openalex.org/C523394659","wikidata":"https://www.wikidata.org/wiki/Q17086892","display_name":"Variational analysis","level":2,"score":0.49261289834976196},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.4684128165245056},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.46750175952911377},{"id":"https://openalex.org/C115527620","wikidata":"https://www.wikidata.org/wiki/Q769909","display_name":"Nonlinear programming","level":3,"score":0.42988157272338867},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.41340571641921997},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.35437437891960144},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.2680477499961853},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.11995020508766174},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C106159729","wikidata":"https://www.wikidata.org/wiki/Q2294553","display_name":"Financial economics","level":1,"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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"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/C122357587","wikidata":"https://www.wikidata.org/wiki/Q6934508","display_name":"Multi-swarm optimization","level":3,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10957-013-0393-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10957-013-0393-6","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:oai:RePEc:spr:joptap:v:167:y:2015:i:3:d:10.1007_s10957-013-0393-6","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s10957-013-0393-6","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":42,"referenced_works":["https://openalex.org/W113278869","https://openalex.org/W187778025","https://openalex.org/W434249667","https://openalex.org/W596285643","https://openalex.org/W1582299569","https://openalex.org/W1585268704","https://openalex.org/W1964620490","https://openalex.org/W1966480644","https://openalex.org/W1971296668","https://openalex.org/W1973382558","https://openalex.org/W1977750299","https://openalex.org/W1978455964","https://openalex.org/W1980325299","https://openalex.org/W1982597623","https://openalex.org/W1989459410","https://openalex.org/W1991203806","https://openalex.org/W1993708577","https://openalex.org/W1995700855","https://openalex.org/W1997201451","https://openalex.org/W1999180078","https://openalex.org/W2003721356","https://openalex.org/W2005341901","https://openalex.org/W2006066505","https://openalex.org/W2024057042","https://openalex.org/W2033779436","https://openalex.org/W2041461926","https://openalex.org/W2056023144","https://openalex.org/W2072307957","https://openalex.org/W2072886676","https://openalex.org/W2094964517","https://openalex.org/W2114605231","https://openalex.org/W2139502933","https://openalex.org/W2153562582","https://openalex.org/W2154456062","https://openalex.org/W2331066051","https://openalex.org/W2594483763","https://openalex.org/W3157341860","https://openalex.org/W4231758816","https://openalex.org/W4240711020","https://openalex.org/W4249125060","https://openalex.org/W4252745766","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W188711498","https://openalex.org/W3209065746","https://openalex.org/W2039887265","https://openalex.org/W2026518960","https://openalex.org/W2151484740","https://openalex.org/W4312977362","https://openalex.org/W2358522314","https://openalex.org/W3159214284","https://openalex.org/W3123798451","https://openalex.org/W2052915822"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":3},{"year":2014,"cited_by_count":2}],"updated_date":"2026-06-19T15:47:20.252518","created_date":"2025-10-10T00:00:00"}