{"id":"https://openalex.org/W4366823023","doi":"https://doi.org/10.1080/10556788.2023.2192494","title":"Infinite dimensional tensor variational inequalities with applications to an economic equilibrium problem","display_name":"Infinite dimensional tensor variational inequalities with applications to an economic equilibrium problem","publication_year":2023,"publication_date":"2023-04-24","ids":{"openalex":"https://openalex.org/W4366823023","doi":"https://doi.org/10.1080/10556788.2023.2192494"},"language":"en","primary_location":{"id":"doi:10.1080/10556788.2023.2192494","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1080/10556788.2023.2192494","pdf_url":null,"source":{"id":"https://openalex.org/S103047102","display_name":"Optimization methods & software","issn_l":"1026-7670","issn":["1026-7670","1029-4937","1055-6788"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Optimization Methods and Software","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://hdl.handle.net/11380/1328489","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5111126273","display_name":"A Barbagallo","orcid":null},"institutions":[{"id":"https://openalex.org/I71267560","display_name":"University of Naples Federico II","ror":"https://ror.org/05290cv24","country_code":"IT","type":"education","lineage":["https://openalex.org/I71267560"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"A. Barbagallo","raw_affiliation_strings":["Department of Mathematics and Applications \u201cR. Caccioppoli\u201d, University of Naples Federico II, Naples, Italy","Department of Mathematics and Applications \"R. Caccioppoli\", University of Naples Federico II, Naples, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Applications \u201cR. Caccioppoli\u201d, University of Naples Federico II, Naples, Italy","institution_ids":["https://openalex.org/I71267560"]},{"raw_affiliation_string":"Department of Mathematics and Applications \"R. Caccioppoli\", University of Naples Federico II, Naples, Italy","institution_ids":["https://openalex.org/I71267560"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5031010078","display_name":"Serena Guarino Lo Bianco","orcid":"https://orcid.org/0000-0001-5459-0446"},"institutions":[{"id":"https://openalex.org/I122346577","display_name":"University of Modena and Reggio Emilia","ror":"https://ror.org/02d4c4y02","country_code":"IT","type":"education","lineage":["https://openalex.org/I122346577"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"S. Guarino Lo Bianco","raw_affiliation_strings":["Department of Physics, Computer Science, Mathematics, University of Modena and Reggio Emilia, Modena, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Physics, Computer Science, Mathematics, University of Modena and Reggio Emilia, Modena, Italy","institution_ids":["https://openalex.org/I122346577"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5111126273"],"corresponding_institution_ids":["https://openalex.org/I71267560"],"apc_list":null,"apc_paid":null,"fwci":0.1914,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.35230024,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":97},"biblio":{"volume":"38","issue":"5","first_page":"1058","last_page":"1080"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12303","display_name":"Tensor decomposition and applications","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/2605","display_name":"Computational 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/T12303","display_name":"Tensor decomposition and applications","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/2605","display_name":"Computational 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/T10792","display_name":"Matrix Theory and Algorithms","score":0.963100016117096,"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":0.9550999999046326,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/variational-inequality","display_name":"Variational inequality","score":0.8111885190010071},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.5667752623558044},{"id":"https://openalex.org/keywords/tensor","display_name":"Tensor (intrinsic definition)","score":0.5392929315567017},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5071170330047607},{"id":"https://openalex.org/keywords/variational-analysis","display_name":"Variational analysis","score":0.47001034021377563},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4650116562843323},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2594047784805298}],"concepts":[{"id":"https://openalex.org/C161999928","wikidata":"https://www.wikidata.org/wiki/Q4556320","display_name":"Variational inequality","level":2,"score":0.8111885190010071},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.5667752623558044},{"id":"https://openalex.org/C155281189","wikidata":"https://www.wikidata.org/wiki/Q3518150","display_name":"Tensor (intrinsic definition)","level":2,"score":0.5392929315567017},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5071170330047607},{"id":"https://openalex.org/C523394659","wikidata":"https://www.wikidata.org/wiki/Q17086892","display_name":"Variational analysis","level":2,"score":0.47001034021377563},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4650116562843323},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2594047784805298}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1080/10556788.2023.2192494","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1080/10556788.2023.2192494","pdf_url":null,"source":{"id":"https://openalex.org/S103047102","display_name":"Optimization methods & software","issn_l":"1026-7670","issn":["1026-7670","1029-4937","1055-6788"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Optimization Methods and Software","raw_type":"journal-article"},{"id":"pmh:oai:iris.unimore.it:11380/1328489","is_oa":true,"landing_page_url":"https://hdl.handle.net/11380/1328489","pdf_url":null,"source":{"id":"https://openalex.org/S4306400718","display_name":"IRIS UNIMORE (University of Modena and Reggio Emilia)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I122346577","host_organization_name":"University of Modena and Reggio Emilia","host_organization_lineage":["https://openalex.org/I122346577"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:iris.unimore.it:11380/1328489","is_oa":true,"landing_page_url":"https://hdl.handle.net/11380/1328489","pdf_url":null,"source":{"id":"https://openalex.org/S4306400718","display_name":"IRIS UNIMORE (University of Modena and Reggio Emilia)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I122346577","host_organization_name":"University of Modena and Reggio Emilia","host_organization_lineage":["https://openalex.org/I122346577"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[{"score":0.5699999928474426,"id":"https://metadata.un.org/sdg/8","display_name":"Decent work and economic growth"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W1971140856","https://openalex.org/W1996723413","https://openalex.org/W2012573895","https://openalex.org/W2024165284","https://openalex.org/W2040568274","https://openalex.org/W2057319937","https://openalex.org/W2068741365","https://openalex.org/W2089691138","https://openalex.org/W2129703683","https://openalex.org/W2157478158","https://openalex.org/W2323954199","https://openalex.org/W2947499473","https://openalex.org/W2966845367","https://openalex.org/W3010832225","https://openalex.org/W3208860461","https://openalex.org/W4241693471"],"related_works":["https://openalex.org/W2142789187","https://openalex.org/W1561544985","https://openalex.org/W1992673508","https://openalex.org/W2116234265","https://openalex.org/W2075980626","https://openalex.org/W36023795","https://openalex.org/W2037516588","https://openalex.org/W256114436","https://openalex.org/W4249083923","https://openalex.org/W1999876626"],"abstract_inverted_index":{"In":[0,57],"this":[1,23],"paper,":[2],"we":[3,25,43,59,75],"present":[4],"a":[5,19,35,51,67,77],"general":[6],"oligopolistic":[7],"market":[8],"equilibrium":[9,46],"model":[10],"in":[11,18,30],"which":[12,33],"each":[13],"firm":[14],"produces":[15],"several":[16],"commodities":[17],"time":[20],"interval.":[21],"To":[22],"aim,":[24],"introduce":[26],"tensor":[27,54],"variational":[28,55],"inequalities":[29],"Hilbert":[31],"spaces":[32],"are":[34],"powerful":[36],"tool":[37],"to":[38,70],"analyse":[39],"the":[40,45,72],"model.":[41],"Indeed":[42],"characterize":[44],"condition":[47],"by":[48],"means":[49],"of":[50],"suitable":[52],"time-dependent":[53],"inequality.":[56],"addition,":[58],"prove":[60],"some":[61],"existence":[62],"and":[63,66],"regularity":[64],"results":[65],"numerical":[68,78],"scheme":[69],"compute":[71],"solution.":[73],"Finally":[74],"provide":[76],"example.":[79]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-06-15T08:34:33.830935","created_date":"2025-10-10T00:00:00"}