{"id":"https://openalex.org/W2976862921","doi":"https://doi.org/10.1007/s10957-019-01582-z","title":"A Linear Scalarization Proximal Point Method for Quasiconvex Multiobjective Minimization","display_name":"A Linear Scalarization Proximal Point Method for Quasiconvex Multiobjective Minimization","publication_year":2019,"publication_date":"2019-09-23","ids":{"openalex":"https://openalex.org/W2976862921","doi":"https://doi.org/10.1007/s10957-019-01582-z","mag":"2976862921"},"language":"en","primary_location":{"id":"doi:10.1007/s10957-019-01582-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10957-019-01582-z","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/A5013699020","display_name":"Erik Alex Papa Quiroz","orcid":"https://orcid.org/0000-0002-8678-6918"},"institutions":[{"id":"https://openalex.org/I192513696","display_name":"National University of San Marcos","ror":"https://ror.org/006vs7897","country_code":"PE","type":"education","lineage":["https://openalex.org/I192513696"]},{"id":"https://openalex.org/I42923333","display_name":"Private University of the North","ror":"https://ror.org/05t6q2334","country_code":"PE","type":"education","lineage":["https://openalex.org/I42923333"]}],"countries":["PE"],"is_corresponding":true,"raw_author_name":"Erik Alex Papa\u00a0Quiroz","raw_affiliation_strings":["Universidad Nacional Mayor de San Marcos and Universidad Privada del Norte, Lima, Peru"],"raw_orcid":"https://orcid.org/0000-0002-8678-6918","affiliations":[{"raw_affiliation_string":"Universidad Nacional Mayor de San Marcos and Universidad Privada del Norte, Lima, Peru","institution_ids":["https://openalex.org/I192513696","https://openalex.org/I42923333"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5014023844","display_name":"Hellena Christina Fernandes Apolin\u00e1rio","orcid":"https://orcid.org/0000-0001-9062-6610"},"institutions":[{"id":"https://openalex.org/I41458283","display_name":"Universidade Federal do Tocantins","ror":"https://ror.org/053xy8k29","country_code":"BR","type":"education","lineage":["https://openalex.org/I41458283"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Hellena Christina Fernandes Apolin\u00e1rio","raw_affiliation_strings":["Federal University of Tocantins, Tocantins, Brazil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Federal University of Tocantins, Tocantins, Brazil","institution_ids":["https://openalex.org/I41458283"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5086652449","display_name":"Kely Diana Villacorta","orcid":null},"institutions":[{"id":"https://openalex.org/I169045520","display_name":"Universidade Federal da Para\u00edba","ror":"https://ror.org/00p9vpz11","country_code":"BR","type":"education","lineage":["https://openalex.org/I169045520"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Kely Diana Villacorta","raw_affiliation_strings":["Federal University of Para\u00edba, Para\u00edba, Brazil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Federal University of Para\u00edba, Para\u00edba, Brazil","institution_ids":["https://openalex.org/I169045520"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5102272028","display_name":"Paulo Roberto Oliveira","orcid":"https://orcid.org/0009-0002-6187-4177"},"institutions":[{"id":"https://openalex.org/I122140584","display_name":"Universidade Federal do Rio de Janeiro","ror":"https://ror.org/03490as77","country_code":"BR","type":"education","lineage":["https://openalex.org/I122140584"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Paulo Roberto Oliveira","raw_affiliation_strings":["Federal University of Rio de Janeiro, Rio de Janeiro, Brazil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Federal University of Rio de Janeiro, Rio de Janeiro, Brazil","institution_ids":["https://openalex.org/I122140584"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5013699020"],"corresponding_institution_ids":["https://openalex.org/I192513696","https://openalex.org/I42923333"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":1.4148,"has_fulltext":false,"cited_by_count":17,"citation_normalized_percentile":{"value":0.84016895,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"183","issue":"3","first_page":"1028","last_page":"1052"},"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":0.9936000108718872,"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":0.9878000020980835,"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/quasiconvex-function","display_name":"Quasiconvex function","score":0.9340651631355286},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8481067419052124},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.6397305727005005},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5955120921134949},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5486181974411011},{"id":"https://openalex.org/keywords/differentiable-function","display_name":"Differentiable function","score":0.5461200475692749},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.5157806873321533},{"id":"https://openalex.org/keywords/minification","display_name":"Minification","score":0.4967844784259796},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.4944610595703125},{"id":"https://openalex.org/keywords/pareto-principle","display_name":"Pareto principle","score":0.45981651544570923},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.45921066403388977},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3481431007385254},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.2705284059047699},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.2630103826522827},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.1848127841949463},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.13139855861663818},{"id":"https://openalex.org/keywords/convex-analysis","display_name":"Convex analysis","score":0.12235137820243835}],"concepts":[{"id":"https://openalex.org/C80278974","wikidata":"https://www.wikidata.org/wiki/Q1126412","display_name":"Quasiconvex function","level":5,"score":0.9340651631355286},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8481067419052124},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.6397305727005005},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5955120921134949},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5486181974411011},{"id":"https://openalex.org/C202615002","wikidata":"https://www.wikidata.org/wiki/Q783507","display_name":"Differentiable function","level":2,"score":0.5461200475692749},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5157806873321533},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.4967844784259796},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.4944610595703125},{"id":"https://openalex.org/C137635306","wikidata":"https://www.wikidata.org/wiki/Q182667","display_name":"Pareto principle","level":2,"score":0.45981651544570923},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.45921066403388977},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3481431007385254},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.2705284059047699},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.2630103826522827},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.1848127841949463},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.13139855861663818},{"id":"https://openalex.org/C12108790","wikidata":"https://www.wikidata.org/wiki/Q2234833","display_name":"Convex analysis","level":4,"score":0.12235137820243835},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","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/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10957-019-01582-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10957-019-01582-z","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:183:y:2019:i:3:d:10.1007_s10957-019-01582-z","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s10957-019-01582-z","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":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W113278869","https://openalex.org/W606413299","https://openalex.org/W1443386821","https://openalex.org/W1568288633","https://openalex.org/W1959749429","https://openalex.org/W1966361332","https://openalex.org/W1998770947","https://openalex.org/W2008499862","https://openalex.org/W2014234363","https://openalex.org/W2048061283","https://openalex.org/W2080752182","https://openalex.org/W2093404847","https://openalex.org/W2154167715","https://openalex.org/W2201384637","https://openalex.org/W2233892927","https://openalex.org/W2787523326","https://openalex.org/W4234534407","https://openalex.org/W4235178178","https://openalex.org/W4249125060","https://openalex.org/W4249513058","https://openalex.org/W4285719527","https://openalex.org/W4292864963","https://openalex.org/W6604938698"],"related_works":["https://openalex.org/W2017426747","https://openalex.org/W3167336199","https://openalex.org/W1988684434","https://openalex.org/W2037504242","https://openalex.org/W2788195075","https://openalex.org/W2084423198","https://openalex.org/W2915839828","https://openalex.org/W2021590854","https://openalex.org/W1498979476","https://openalex.org/W1996393938"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":2}],"updated_date":"2026-05-07T13:39:58.223016","created_date":"2025-10-10T00:00:00"}