{"id":"https://openalex.org/W2066152823","doi":"https://doi.org/10.1007/s10898-011-9689-y","title":"Weak efficiency in multiobjective variational problems under generalized convexity","display_name":"Weak efficiency in multiobjective variational problems under generalized convexity","publication_year":2011,"publication_date":"2011-02-17","ids":{"openalex":"https://openalex.org/W2066152823","doi":"https://doi.org/10.1007/s10898-011-9689-y","mag":"2066152823"},"language":"en","primary_location":{"id":"doi:10.1007/s10898-011-9689-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10898-011-9689-y","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/A5064225117","display_name":"Manuel Arana\u2010Jim\u00e9nez","orcid":"https://orcid.org/0000-0002-0290-6477"},"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":true,"raw_author_name":"M. Arana-Jim\u00e9nez","raw_affiliation_strings":["Departamento de Estad\u00edstica e I.O., Facultad de CCSS y de la Comunicaci\u00f3n, Universidad de C\u00e1diz, Avda. de la Universidad s/n, 11402, Jerez de la Frontera, C\u00e1diz, Spain","Departamento de Estad\u00edstica e I.O., Facultad de CCSS y de la Comunicaci\u00f3n, Universidad de C\u00e1diz, Jerez de la Frontera, Spain 11402#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de Estad\u00edstica e I.O., Facultad de CCSS y de la Comunicaci\u00f3n, Universidad de C\u00e1diz, Avda. de la Universidad s/n, 11402, Jerez de la Frontera, C\u00e1diz, Spain","institution_ids":["https://openalex.org/I39147953"]},{"raw_affiliation_string":"Departamento de Estad\u00edstica e I.O., Facultad de CCSS y de la Comunicaci\u00f3n, Universidad de C\u00e1diz, Jerez de la Frontera, Spain 11402#TAB#","institution_ids":["https://openalex.org/I39147953"]}]},{"author_position":"middle","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., Facultad de CCSS y de la Comunicaci\u00f3n, Universidad de C\u00e1diz, Avda. de la Universidad s/n, 11402, Jerez de la Frontera, C\u00e1diz, Spain","Departamento de Estad\u00edstica e I.O., Facultad de CCSS y de la Comunicaci\u00f3n, Universidad de C\u00e1diz, Jerez de la Frontera, Spain 11402#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de Estad\u00edstica e I.O., Facultad de CCSS y de la Comunicaci\u00f3n, Universidad de C\u00e1diz, Avda. de la Universidad s/n, 11402, Jerez de la Frontera, C\u00e1diz, Spain","institution_ids":["https://openalex.org/I39147953"]},{"raw_affiliation_string":"Departamento de Estad\u00edstica e I.O., Facultad de CCSS y de la Comunicaci\u00f3n, Universidad de C\u00e1diz, Jerez de la Frontera, Spain 11402#TAB#","institution_ids":["https://openalex.org/I39147953"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5045004279","display_name":"A. Rufi\u00e1n-Lizana","orcid":"https://orcid.org/0000-0003-1286-2823"},"institutions":[{"id":"https://openalex.org/I79238269","display_name":"Universidad de Sevilla","ror":"https://ror.org/03yxnpp24","country_code":"ES","type":"education","lineage":["https://openalex.org/I79238269"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"A. Rufi\u00e1n-Lizana","raw_affiliation_strings":["Departamento de Estad\u00edstica e I.O., Facultad de Matem\u00e1ticas, Universidad de Sevilla, Seville, Spain","Departamento de Estad\u00edstica e I.O., Facultad de Matem\u00e1ticas, Universidad de Sevilla, Seville, Spain#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de Estad\u00edstica e I.O., Facultad de Matem\u00e1ticas, Universidad de Sevilla, Seville, Spain","institution_ids":["https://openalex.org/I79238269"]},{"raw_affiliation_string":"Departamento de Estad\u00edstica e I.O., Facultad de Matem\u00e1ticas, Universidad de Sevilla, Seville, Spain#TAB#","institution_ids":["https://openalex.org/I79238269"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5026243757","display_name":"R. Osuna-G\u00f3mez","orcid":"https://orcid.org/0000-0002-1777-2395"},"institutions":[{"id":"https://openalex.org/I79238269","display_name":"Universidad de Sevilla","ror":"https://ror.org/03yxnpp24","country_code":"ES","type":"education","lineage":["https://openalex.org/I79238269"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"R. Osuna-G\u00f3mez","raw_affiliation_strings":["Departamento de Estad\u00edstica e I.O., Facultad de Matem\u00e1ticas, Universidad de Sevilla, Seville, Spain","Departamento de Estad\u00edstica e I.O., Facultad de Matem\u00e1ticas, Universidad de Sevilla, Seville, Spain#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de Estad\u00edstica e I.O., Facultad de Matem\u00e1ticas, Universidad de Sevilla, Seville, Spain","institution_ids":["https://openalex.org/I79238269"]},{"raw_affiliation_string":"Departamento de Estad\u00edstica e I.O., Facultad de Matem\u00e1ticas, Universidad de Sevilla, Seville, Spain#TAB#","institution_ids":["https://openalex.org/I79238269"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5064225117"],"corresponding_institution_ids":["https://openalex.org/I39147953"],"apc_list":{"value":2780,"currency":"USD","value_usd":2780},"apc_paid":null,"fwci":0.8898,"has_fulltext":false,"cited_by_count":21,"citation_normalized_percentile":{"value":0.75087719,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"52","issue":"1","first_page":"109","last_page":"121"},"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":0.9914000034332275,"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/T12709","display_name":"Optimization and Mathematical Programming","score":0.9894999861717224,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8626259565353394},{"id":"https://openalex.org/keywords/convexity","display_name":"Convexity","score":0.8591388463973999},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6343061923980713},{"id":"https://openalex.org/keywords/multiobjective-programming","display_name":"Multiobjective programming","score":0.6272308230400085},{"id":"https://openalex.org/keywords/weighting","display_name":"Weighting","score":0.5556735396385193},{"id":"https://openalex.org/keywords/multi-objective-optimization","display_name":"Multi-objective optimization","score":0.5134469270706177},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.495220810174942},{"id":"https://openalex.org/keywords/characterization","display_name":"Characterization (materials science)","score":0.441861629486084}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8626259565353394},{"id":"https://openalex.org/C72134830","wikidata":"https://www.wikidata.org/wiki/Q5166524","display_name":"Convexity","level":2,"score":0.8591388463973999},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6343061923980713},{"id":"https://openalex.org/C2988952207","wikidata":"https://www.wikidata.org/wiki/Q2052203","display_name":"Multiobjective programming","level":3,"score":0.6272308230400085},{"id":"https://openalex.org/C183115368","wikidata":"https://www.wikidata.org/wiki/Q856577","display_name":"Weighting","level":2,"score":0.5556735396385193},{"id":"https://openalex.org/C68781425","wikidata":"https://www.wikidata.org/wiki/Q2052203","display_name":"Multi-objective optimization","level":2,"score":0.5134469270706177},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.495220810174942},{"id":"https://openalex.org/C2780841128","wikidata":"https://www.wikidata.org/wiki/Q5073781","display_name":"Characterization (materials science)","level":2,"score":0.441861629486084},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","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/C126838900","wikidata":"https://www.wikidata.org/wiki/Q77604","display_name":"Radiology","level":1,"score":0.0},{"id":"https://openalex.org/C171250308","wikidata":"https://www.wikidata.org/wiki/Q11468","display_name":"Nanotechnology","level":1,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10898-011-9689-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10898-011-9689-y","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:52:y:2012:i:1:p:109-121","is_oa":false,"landing_page_url":"http://hdl.handle.net/10.1007/s10898-011-9689-y","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":30,"referenced_works":["https://openalex.org/W52722246","https://openalex.org/W417516028","https://openalex.org/W633428226","https://openalex.org/W1482298744","https://openalex.org/W1551360398","https://openalex.org/W1561610472","https://openalex.org/W1607950902","https://openalex.org/W1980420409","https://openalex.org/W1984783618","https://openalex.org/W1990023680","https://openalex.org/W2000983337","https://openalex.org/W2013306944","https://openalex.org/W2017666241","https://openalex.org/W2024600755","https://openalex.org/W2024758946","https://openalex.org/W2024868409","https://openalex.org/W2032341808","https://openalex.org/W2041452863","https://openalex.org/W2072854778","https://openalex.org/W2079479228","https://openalex.org/W2089565871","https://openalex.org/W2089811279","https://openalex.org/W2092899292","https://openalex.org/W2093404847","https://openalex.org/W2111016559","https://openalex.org/W2153015072","https://openalex.org/W2191091343","https://openalex.org/W2284361831","https://openalex.org/W2329416544","https://openalex.org/W4253845129"],"related_works":["https://openalex.org/W2012460505","https://openalex.org/W2010288626","https://openalex.org/W1600183476","https://openalex.org/W2352443140","https://openalex.org/W4298057142","https://openalex.org/W4282831362","https://openalex.org/W4241908792","https://openalex.org/W2010780926","https://openalex.org/W1509531727","https://openalex.org/W2186963681"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":1}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}