{"id":"https://openalex.org/W4409620335","doi":"https://doi.org/10.3390/axioms14040316","title":"Existence Results for Some Classes of Weighted Equilibrium Problems","display_name":"Existence Results for Some Classes of Weighted Equilibrium Problems","publication_year":2025,"publication_date":"2025-04-21","ids":{"openalex":"https://openalex.org/W4409620335","doi":"https://doi.org/10.3390/axioms14040316"},"language":"en","primary_location":{"id":"doi:10.3390/axioms14040316","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms14040316","pdf_url":"https://www.mdpi.com/2075-1680/14/4/316/pdf?version=1745217769","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2075-1680/14/4/316/pdf?version=1745217769","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5049075430","display_name":"Miruna Beldiman","orcid":"https://orcid.org/0000-0001-9947-7594"},"institutions":[{"id":"https://openalex.org/I58077936","display_name":"Romanian Academy","ror":"https://ror.org/0561n6946","country_code":"RO","type":"archive","lineage":["https://openalex.org/I58077936"]}],"countries":["RO"],"is_corresponding":false,"raw_author_name":"Miruna-Mihaela Beldiman","raw_affiliation_strings":["\u201cG.Mihoc-C.Iacob\u201d Institute of Mathematical Statistics and Applied Mathematics of the Romanian Academy, Strada 13 Septembrie Nr. 13, 050711 Bucharest, Romania"],"affiliations":[{"raw_affiliation_string":"\u201cG.Mihoc-C.Iacob\u201d Institute of Mathematical Statistics and Applied Mathematics of the Romanian Academy, Strada 13 Septembrie Nr. 13, 050711 Bucharest, Romania","institution_ids":["https://openalex.org/I58077936"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5028726022","display_name":"Andrei-Dan Halanay","orcid":null},"institutions":[{"id":"https://openalex.org/I141595442","display_name":"University of Bucharest","ror":"https://ror.org/02x2v6p15","country_code":"RO","type":"education","lineage":["https://openalex.org/I141595442"]}],"countries":["RO"],"is_corresponding":true,"raw_author_name":"Andrei-Dan Halanay","raw_affiliation_strings":["Department of Mathematics, Bucharest University, Str. Academiei 14, 030018 Bucharest, Romania"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Bucharest University, Str. Academiei 14, 030018 Bucharest, Romania","institution_ids":["https://openalex.org/I141595442"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5028726022"],"corresponding_institution_ids":["https://openalex.org/I141595442"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.09351888,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"14","issue":"4","first_page":"316","last_page":"316"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9997000098228455,"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":0.9997000098228455,"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":0.9872000217437744,"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":0.98089998960495,"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/mathematical-economics","display_name":"Mathematical economics","score":0.5223264098167419},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4764000475406647},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3288019299507141}],"concepts":[{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.5223264098167419},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4764000475406647},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3288019299507141}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3390/axioms14040316","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms14040316","pdf_url":"https://www.mdpi.com/2075-1680/14/4/316/pdf?version=1745217769","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:810503b11d9247778ad1aa661e2e21f3","is_oa":true,"landing_page_url":"https://doaj.org/article/810503b11d9247778ad1aa661e2e21f3","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Axioms, Vol 14, Iss 4, p 316 (2025)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/axioms14040316","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms14040316","pdf_url":"https://www.mdpi.com/2075-1680/14/4/316/pdf?version=1745217769","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4409620335.pdf","grobid_xml":"https://content.openalex.org/works/W4409620335.grobid-xml"},"referenced_works_count":22,"referenced_works":["https://openalex.org/W145776808","https://openalex.org/W1606451595","https://openalex.org/W1964999858","https://openalex.org/W1967576898","https://openalex.org/W1969426656","https://openalex.org/W2032238237","https://openalex.org/W2049066399","https://openalex.org/W2078448071","https://openalex.org/W2079936218","https://openalex.org/W2082215958","https://openalex.org/W2742473965","https://openalex.org/W2765480842","https://openalex.org/W2766986271","https://openalex.org/W2947073218","https://openalex.org/W3122405481","https://openalex.org/W3200046727","https://openalex.org/W4224308947","https://openalex.org/W4319297470","https://openalex.org/W4392820186","https://openalex.org/W4395090470","https://openalex.org/W6636361308","https://openalex.org/W6686799208"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027","https://openalex.org/W2962838298","https://openalex.org/W2600246793"],"abstract_inverted_index":{"Starting":[0],"from":[1,81],"some":[2,77,94,101],"systems":[3,58],"of":[4,12,18,25,70],"vector":[5],"equilibrium":[6,20],"problems,":[7,21],"we":[8,50,66,89,96],"obtain":[9],"the":[10,13,47,52,56,68,82],"existence":[11,54],"solution":[14,53],"for":[15,55,93,104],"a":[16,37,43,61,71],"class":[17],"weighted":[19,85],"under":[22],"different":[23],"types":[24],"generalized":[26],"pseudo-monotonicity":[27],"assumptions.":[28],"We":[29,75,99],"present":[30],"both":[31],"new":[32],"and":[33,41,59,88],"previous":[34],"results,":[35],"making":[36],"connection":[38],"between":[39],"them":[40],"giving":[42],"few":[44],"examples.":[45],"Using":[46],"main":[48],"theorem,":[49],"derive":[51],"initial":[57],"discuss":[60],"corresponding":[62],"set-valued":[63],"problem.":[64],"Finally,":[65],"consider":[67],"case":[69],"real":[72],"normed":[73],"space.":[74],"extend":[76],"previously":[78,97],"obtained":[79],"results":[80,95],"literature":[83],"about":[84],"variational":[86],"inequalities,":[87],"also":[90],"give":[91,100],"proofs":[92],"announced.":[98],"relevant":[102],"examples":[103],"our":[105],"notions.":[106]},"counts_by_year":[],"updated_date":"2026-03-10T16:38:18.471706","created_date":"2025-10-10T00:00:00"}