{"id":"https://openalex.org/W2400741915","doi":"https://doi.org/10.1007/s10957-016-0950-x","title":"Locally Densely Defined Equilibrium Problems","display_name":"Locally Densely Defined Equilibrium Problems","publication_year":2016,"publication_date":"2016-05-18","ids":{"openalex":"https://openalex.org/W2400741915","doi":"https://doi.org/10.1007/s10957-016-0950-x","mag":"2400741915"},"language":"en","primary_location":{"id":"doi:10.1007/s10957-016-0950-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10957-016-0950-x","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/A5007036637","display_name":"Somaye Jafari","orcid":"https://orcid.org/0000-0002-3832-3177"},"institutions":[{"id":"https://openalex.org/I1187138","display_name":"Razi University","ror":"https://ror.org/02ynb0474","country_code":"IR","type":"education","lineage":["https://openalex.org/I1187138"]}],"countries":["IR"],"is_corresponding":true,"raw_author_name":"Somaye Jafari","raw_affiliation_strings":["Department of Mathematics, Faculty of Science, Razi University, Kermanshah, 67149, Iran","Department of Mathematics, Faculty of Science, Razi University, Kermanshah, Iran"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, Razi University, Kermanshah, 67149, Iran","institution_ids":["https://openalex.org/I1187138"]},{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, Razi University, Kermanshah, Iran","institution_ids":["https://openalex.org/I1187138"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101541561","display_name":"A. P. Farajzadeh","orcid":null},"institutions":[{"id":"https://openalex.org/I1187138","display_name":"Razi University","ror":"https://ror.org/02ynb0474","country_code":"IR","type":"education","lineage":["https://openalex.org/I1187138"]}],"countries":["IR"],"is_corresponding":true,"raw_author_name":"Ali Farajzadeh","raw_affiliation_strings":["Department of Mathematics, Faculty of Science, Razi University, Kermanshah, 67149, Iran","Department of Mathematics, Faculty of Science, Razi University, Kermanshah, Iran"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, Razi University, Kermanshah, 67149, Iran","institution_ids":["https://openalex.org/I1187138"]},{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, Razi University, Kermanshah, Iran","institution_ids":["https://openalex.org/I1187138"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5002506293","display_name":"Sirous Moradi","orcid":"https://orcid.org/0000-0002-8640-7252"},"institutions":[{"id":"https://openalex.org/I35510649","display_name":"Arak University","ror":"https://ror.org/00ngrq502","country_code":"IR","type":"education","lineage":["https://openalex.org/I35510649"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Sirous Moradi","raw_affiliation_strings":["Department of Mathematics, Faculty of Science, Arak University, Arak, 38156-8-8349, Iran","Department of Mathematics, Faculty of Science, Arak University, Arak, Iran"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, Arak University, Arak, 38156-8-8349, Iran","institution_ids":["https://openalex.org/I35510649"]},{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, Arak University, Arak, Iran","institution_ids":["https://openalex.org/I35510649"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5007036637","https://openalex.org/A5101541561"],"corresponding_institution_ids":["https://openalex.org/I1187138"],"apc_list":{"value":3190,"currency":"USD","value_usd":3190},"apc_paid":null,"fwci":0.6593,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.74101115,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"170","issue":"3","first_page":"804","last_page":"817"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9998000264167786,"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":0.9998000264167786,"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":0.996399998664856,"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/T12137","display_name":"Economic theories and models","score":0.9864000082015991,"subfield":{"id":"https://openalex.org/subfields/2002","display_name":"Economics and Econometrics"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8271499276161194},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.7906624674797058},{"id":"https://openalex.org/keywords/hausdorff-space","display_name":"Hausdorff space","score":0.7587348222732544},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.5765815377235413},{"id":"https://openalex.org/keywords/locally-convex-topological-vector-space","display_name":"Locally convex topological vector space","score":0.5461339950561523},{"id":"https://openalex.org/keywords/hausdorff-distance","display_name":"Hausdorff distance","score":0.45676377415657043},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.45570170879364014},{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.4350317120552063},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4111565947532654},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.367476224899292},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3568941652774811},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.34220266342163086},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.325867623090744},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.2702081799507141},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.24440565705299377},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.15393516421318054},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.14228612184524536},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.10057899355888367}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8271499276161194},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.7906624674797058},{"id":"https://openalex.org/C191399826","wikidata":"https://www.wikidata.org/wiki/Q326908","display_name":"Hausdorff space","level":2,"score":0.7587348222732544},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.5765815377235413},{"id":"https://openalex.org/C58228006","wikidata":"https://www.wikidata.org/wiki/Q1572357","display_name":"Locally convex topological vector space","level":3,"score":0.5461339950561523},{"id":"https://openalex.org/C141898687","wikidata":"https://www.wikidata.org/wiki/Q1501997","display_name":"Hausdorff distance","level":2,"score":0.45676377415657043},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.45570170879364014},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.4350317120552063},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4111565947532654},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.367476224899292},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3568941652774811},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.34220266342163086},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.325867623090744},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.2702081799507141},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.24440565705299377},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.15393516421318054},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.14228612184524536},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.10057899355888367},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"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/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/s10957-016-0950-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10957-016-0950-x","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:170:y:2016:i:3:d:10.1007_s10957-016-0950-x","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s10957-016-0950-x","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":26,"referenced_works":["https://openalex.org/W154593720","https://openalex.org/W606402000","https://openalex.org/W1580873762","https://openalex.org/W1964937633","https://openalex.org/W1985880451","https://openalex.org/W1990313467","https://openalex.org/W1994325185","https://openalex.org/W2021109805","https://openalex.org/W2027475013","https://openalex.org/W2035458531","https://openalex.org/W2041363761","https://openalex.org/W2045017219","https://openalex.org/W2045184230","https://openalex.org/W2062849202","https://openalex.org/W2071470179","https://openalex.org/W2072615656","https://openalex.org/W2078088766","https://openalex.org/W2085033038","https://openalex.org/W2106794567","https://openalex.org/W2108765971","https://openalex.org/W2155089813","https://openalex.org/W2162513890","https://openalex.org/W2284014680","https://openalex.org/W2481311888","https://openalex.org/W4212988175","https://openalex.org/W4252722163"],"related_works":["https://openalex.org/W2886349793","https://openalex.org/W4389525156","https://openalex.org/W4390939271","https://openalex.org/W1144450175","https://openalex.org/W1971676253","https://openalex.org/W2031465436","https://openalex.org/W1512585147","https://openalex.org/W3037607774","https://openalex.org/W2353821623","https://openalex.org/W2025190434"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2020,"cited_by_count":3},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1}],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}