{"id":"https://openalex.org/W2049812339","doi":"https://doi.org/10.1007/s10957-012-0101-y","title":"A Generalized Variational Principle and Its Application to Equilibrium Problems","display_name":"A Generalized Variational Principle and Its Application to Equilibrium Problems","publication_year":2012,"publication_date":"2012-06-18","ids":{"openalex":"https://openalex.org/W2049812339","doi":"https://doi.org/10.1007/s10957-012-0101-y","mag":"2049812339"},"language":"en","primary_location":{"id":"doi:10.1007/s10957-012-0101-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10957-012-0101-y","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/A5101721079","display_name":"Csaba Farkas","orcid":"https://orcid.org/0000-0002-1937-9036"},"institutions":[{"id":"https://openalex.org/I3125347698","display_name":"Babe\u0219-Bolyai University","ror":"https://ror.org/02rmd1t30","country_code":"RO","type":"education","lineage":["https://openalex.org/I3125347698"]}],"countries":["RO"],"is_corresponding":true,"raw_author_name":"Csaba Farkas","raw_affiliation_strings":["Babe\u015f-Bolyai University, Cluj Napoca, Romania","Babe\u015f \u2013 Bolyai University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Babe\u015f-Bolyai University, Cluj Napoca, Romania","institution_ids":["https://openalex.org/I3125347698"]},{"raw_affiliation_string":"Babe\u015f \u2013 Bolyai University","institution_ids":["https://openalex.org/I3125347698"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5048671286","display_name":"Andrea \u00c9va Moln\u00e1r","orcid":null},"institutions":[{"id":"https://openalex.org/I3125347698","display_name":"Babe\u0219-Bolyai University","ror":"https://ror.org/02rmd1t30","country_code":"RO","type":"education","lineage":["https://openalex.org/I3125347698"]}],"countries":["RO"],"is_corresponding":false,"raw_author_name":"Andrea \u00c9va Moln\u00e1r","raw_affiliation_strings":["Babe\u015f-Bolyai University, Cluj Napoca, Romania","Babe\u015f \u2013 Bolyai University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Babe\u015f-Bolyai University, Cluj Napoca, Romania","institution_ids":["https://openalex.org/I3125347698"]},{"raw_affiliation_string":"Babe\u015f \u2013 Bolyai University","institution_ids":["https://openalex.org/I3125347698"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5101721079"],"corresponding_institution_ids":["https://openalex.org/I3125347698"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.13754382,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"156","issue":"2","first_page":"213","last_page":"231"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10194","display_name":"Nonlinear Partial Differential Equations","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10194","display_name":"Nonlinear Partial Differential Equations","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/T10545","display_name":"Optimization and Variational Analysis","score":0.9991999864578247,"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/T10541","display_name":"Nonlinear Differential Equations Analysis","score":0.9918000102043152,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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":0.8382042646408081},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.8327255249023438},{"id":"https://openalex.org/keywords/variational-principle","display_name":"Variational principle","score":0.6595525145530701},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5637007355690002},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.5380762219429016},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.50767982006073},{"id":"https://openalex.org/keywords/variational-inequality","display_name":"Variational inequality","score":0.4763898253440857},{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.43190404772758484},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4137204885482788},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.40313953161239624},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.32173383235931396},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.11162853240966797},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.08520776033401489}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8382042646408081},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.8327255249023438},{"id":"https://openalex.org/C9259290","wikidata":"https://www.wikidata.org/wiki/Q745215","display_name":"Variational principle","level":2,"score":0.6595525145530701},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5637007355690002},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.5380762219429016},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.50767982006073},{"id":"https://openalex.org/C161999928","wikidata":"https://www.wikidata.org/wiki/Q4556320","display_name":"Variational inequality","level":2,"score":0.4763898253440857},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.43190404772758484},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4137204885482788},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.40313953161239624},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.32173383235931396},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.11162853240966797},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.08520776033401489},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","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},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","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/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10957-012-0101-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10957-012-0101-y","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:156:y:2013:i:2:d:10.1007_s10957-012-0101-y","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s10957-012-0101-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":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W145776808","https://openalex.org/W268251793","https://openalex.org/W620846022","https://openalex.org/W643037692","https://openalex.org/W1523004878","https://openalex.org/W1549732571","https://openalex.org/W1974622068","https://openalex.org/W1977750299","https://openalex.org/W1983902189","https://openalex.org/W2002554619","https://openalex.org/W2005212091","https://openalex.org/W2092651824","https://openalex.org/W2139502933","https://openalex.org/W2341296913","https://openalex.org/W2346496848","https://openalex.org/W2502261143","https://openalex.org/W2578992305","https://openalex.org/W2913670109","https://openalex.org/W3038830718","https://openalex.org/W3043060850","https://openalex.org/W6704349595"],"related_works":["https://openalex.org/W2909053289","https://openalex.org/W829267240","https://openalex.org/W3131922696","https://openalex.org/W2033468445","https://openalex.org/W43918835","https://openalex.org/W2093863472","https://openalex.org/W4324027757","https://openalex.org/W2010533010","https://openalex.org/W4253492586","https://openalex.org/W1981896023"],"abstract_inverted_index":null,"counts_by_year":[{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2026-06-19T15:47:20.252518","created_date":"2025-10-10T00:00:00"}
