{"id":"https://openalex.org/W2102819983","doi":"https://doi.org/10.1007/s10957-012-0002-0","title":"Interior Proximal Algorithm for Quasiconvex Programming Problems and Variational Inequalities with Linear Constraints","display_name":"Interior Proximal Algorithm for Quasiconvex Programming Problems and Variational Inequalities with Linear Constraints","publication_year":2012,"publication_date":"2012-02-14","ids":{"openalex":"https://openalex.org/W2102819983","doi":"https://doi.org/10.1007/s10957-012-0002-0","mag":"2102819983"},"language":"en","primary_location":{"id":"doi:10.1007/s10957-012-0002-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10957-012-0002-0","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/A5079232432","display_name":"Arnaldo Silva Brito","orcid":null},"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":true,"raw_author_name":"Arnaldo S. Brito","raw_affiliation_strings":["Federal University of Rio de Janeiro, Rio de Janeiro, Brazil","Federal University of Rio de Janeiro"],"affiliations":[{"raw_affiliation_string":"Federal University of Rio de Janeiro, Rio de Janeiro, Brazil","institution_ids":["https://openalex.org/I122140584"]},{"raw_affiliation_string":"Federal University of Rio de Janeiro","institution_ids":["https://openalex.org/I122140584"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5110064311","display_name":"Jo\u00e3o Xavier da Cruz Neto","orcid":null},"institutions":[{"id":"https://openalex.org/I3121799822","display_name":"Universidade Federal do Piau\u00ed","ror":"https://ror.org/00kwnx126","country_code":"BR","type":"education","lineage":["https://openalex.org/I3121799822"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"J. X. da Cruz Neto","raw_affiliation_strings":["Federal University of Piaui, Piaui, Brazil","Federal University of Piau\u00ed"],"affiliations":[{"raw_affiliation_string":"Federal University of Piaui, Piaui, Brazil","institution_ids":["https://openalex.org/I3121799822"]},{"raw_affiliation_string":"Federal University of Piau\u00ed","institution_ids":["https://openalex.org/I3121799822"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5047647729","display_name":"J. O. Lopes","orcid":null},"institutions":[{"id":"https://openalex.org/I3121799822","display_name":"Universidade Federal do Piau\u00ed","ror":"https://ror.org/00kwnx126","country_code":"BR","type":"education","lineage":["https://openalex.org/I3121799822"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Jurandir O. Lopes","raw_affiliation_strings":["Federal University of Piaui, Piaui, Brazil","Federal University of Piau\u00ed"],"affiliations":[{"raw_affiliation_string":"Federal University of Piaui, Piaui, Brazil","institution_ids":["https://openalex.org/I3121799822"]},{"raw_affiliation_string":"Federal University of Piau\u00ed","institution_ids":["https://openalex.org/I3121799822"]}]},{"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":"P. Roberto Oliveira","raw_affiliation_strings":["COPPE/Sistemas-Universidade Federal do Rio de Janeiro, Rio de Janeiro, Brazil","COPPE/Sistemas, Universidade Federal do Rio de Janeiro"],"affiliations":[{"raw_affiliation_string":"COPPE/Sistemas-Universidade Federal do Rio de Janeiro, Rio de Janeiro, Brazil","institution_ids":["https://openalex.org/I122140584"]},{"raw_affiliation_string":"COPPE/Sistemas, Universidade Federal do Rio de Janeiro","institution_ids":["https://openalex.org/I122140584"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5079232432"],"corresponding_institution_ids":["https://openalex.org/I122140584"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":1.046,"has_fulltext":false,"cited_by_count":19,"citation_normalized_percentile":{"value":0.78545404,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"154","issue":"1","first_page":"217","last_page":"234"},"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":0.9958000183105469,"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/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9627000093460083,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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":0.8878962993621826},{"id":"https://openalex.org/keywords/quasiconvex-function","display_name":"Quasiconvex function","score":0.8800855875015259},{"id":"https://openalex.org/keywords/variational-inequality","display_name":"Variational inequality","score":0.8382223844528198},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.6153016090393066},{"id":"https://openalex.org/keywords/regularization","display_name":"Regularization (linguistics)","score":0.5845479369163513},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5399311780929565},{"id":"https://openalex.org/keywords/logarithm","display_name":"Logarithm","score":0.5189228057861328},{"id":"https://openalex.org/keywords/monotone-polygon","display_name":"Monotone polygon","score":0.4389247000217438},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4346752464771271},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4088740944862366},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2844446003437042},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.27890193462371826},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.2771437168121338},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.21644890308380127},{"id":"https://openalex.org/keywords/subderivative","display_name":"Subderivative","score":0.16813954710960388},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.09416601061820984},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.09086421132087708}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8878962993621826},{"id":"https://openalex.org/C80278974","wikidata":"https://www.wikidata.org/wiki/Q1126412","display_name":"Quasiconvex function","level":5,"score":0.8800855875015259},{"id":"https://openalex.org/C161999928","wikidata":"https://www.wikidata.org/wiki/Q4556320","display_name":"Variational inequality","level":2,"score":0.8382223844528198},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.6153016090393066},{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.5845479369163513},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5399311780929565},{"id":"https://openalex.org/C39927690","wikidata":"https://www.wikidata.org/wiki/Q11197","display_name":"Logarithm","level":2,"score":0.5189228057861328},{"id":"https://openalex.org/C2834757","wikidata":"https://www.wikidata.org/wiki/Q4925424","display_name":"Monotone polygon","level":2,"score":0.4389247000217438},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4346752464771271},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4088740944862366},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2844446003437042},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.27890193462371826},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.2771437168121338},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.21644890308380127},{"id":"https://openalex.org/C200661725","wikidata":"https://www.wikidata.org/wiki/Q289500","display_name":"Subderivative","level":4,"score":0.16813954710960388},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.09416601061820984},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.09086421132087708},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","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/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10957-012-0002-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10957-012-0002-0","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:154:y:2012:i:1:d:10.1007_s10957-012-0002-0","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s10957-012-0002-0","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":[{"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10","score":0.4699999988079071}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W43918835","https://openalex.org/W70662176","https://openalex.org/W73830079","https://openalex.org/W136137658","https://openalex.org/W203977640","https://openalex.org/W616361022","https://openalex.org/W651887016","https://openalex.org/W1503476534","https://openalex.org/W1543439990","https://openalex.org/W1551360398","https://openalex.org/W2004304255","https://openalex.org/W2009274429","https://openalex.org/W2016939833","https://openalex.org/W2023452967","https://openalex.org/W2032690622","https://openalex.org/W2038497950","https://openalex.org/W2041791424","https://openalex.org/W2051816737","https://openalex.org/W2058567087","https://openalex.org/W2065279254","https://openalex.org/W2090376964","https://openalex.org/W2093246563","https://openalex.org/W2118690500","https://openalex.org/W2129765420","https://openalex.org/W2132488568","https://openalex.org/W2510965671","https://openalex.org/W2735889974","https://openalex.org/W2787523326","https://openalex.org/W4249513058","https://openalex.org/W4250668019"],"related_works":["https://openalex.org/W2085771669","https://openalex.org/W3131922696","https://openalex.org/W2383497899","https://openalex.org/W2033468445","https://openalex.org/W43918835","https://openalex.org/W2093863472","https://openalex.org/W3048061938","https://openalex.org/W4324027757","https://openalex.org/W2010533010","https://openalex.org/W2996388602"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":1}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}