{"id":"https://openalex.org/W1984145396","doi":"https://doi.org/10.1155/2011/961038","title":"A New System of Generalized Mixed Quasivariational Inclusions with Relaxed Cocoercive Operators and Applications","display_name":"A New System of Generalized Mixed Quasivariational Inclusions with Relaxed Cocoercive Operators and Applications","publication_year":2011,"publication_date":"2011-01-01","ids":{"openalex":"https://openalex.org/W1984145396","doi":"https://doi.org/10.1155/2011/961038","mag":"1984145396"},"language":"en","primary_location":{"id":"doi:10.1155/2011/961038","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2011/961038","pdf_url":"https://downloads.hindawi.com/journals/jam/2011/961038.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://downloads.hindawi.com/journals/jam/2011/961038.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5102237103","display_name":"Zhongping Wan","orcid":null},"institutions":[{"id":"https://openalex.org/I37461747","display_name":"Wuhan University","ror":"https://ror.org/033vjfk17","country_code":"CN","type":"education","lineage":["https://openalex.org/I37461747"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhongping Wan","raw_affiliation_strings":["School of Mathematics and Statistics, Wuhan University, Wuhan, Hubei 430072, China","School of Mathematics and Statistics , Wuhan University , Wuhan , Hubei , 430072 , China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Wuhan University, Wuhan, Hubei 430072, China","institution_ids":["https://openalex.org/I37461747"]},{"raw_affiliation_string":"School of Mathematics and Statistics , Wuhan University , Wuhan , Hubei , 430072 , China","institution_ids":["https://openalex.org/I37461747"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100362812","display_name":"Jiawei Chen","orcid":"https://orcid.org/0000-0002-3244-3418"},"institutions":[{"id":"https://openalex.org/I16351329","display_name":"China West Normal University","ror":"https://ror.org/04s99y476","country_code":"CN","type":"education","lineage":["https://openalex.org/I16351329"]},{"id":"https://openalex.org/I37461747","display_name":"Wuhan University","ror":"https://ror.org/033vjfk17","country_code":"CN","type":"education","lineage":["https://openalex.org/I37461747"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jia-Wei Chen","raw_affiliation_strings":["School of Mathematics and Information, China West Normal University, Nanchong, Sichuan 637002, China","School of Mathematics and Statistics, Wuhan University, Wuhan, Hubei 430072, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Information, China West Normal University, Nanchong, Sichuan 637002, China","institution_ids":["https://openalex.org/I16351329"]},{"raw_affiliation_string":"School of Mathematics and Statistics, Wuhan University, Wuhan, Hubei 430072, China","institution_ids":["https://openalex.org/I37461747"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5110453300","display_name":"Hai Sun","orcid":null},"institutions":[{"id":"https://openalex.org/I16351329","display_name":"China West Normal University","ror":"https://ror.org/04s99y476","country_code":"CN","type":"education","lineage":["https://openalex.org/I16351329"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hai Sun","raw_affiliation_strings":["School of Mathematics and Information, China West Normal University, Nanchong, Sichuan 637002, China","School of Mathematics and Information, China West Normal University, Nanchong, Sichuan, 637002, China#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Information, China West Normal University, Nanchong, Sichuan 637002, China","institution_ids":["https://openalex.org/I16351329"]},{"raw_affiliation_string":"School of Mathematics and Information, China West Normal University, Nanchong, Sichuan, 637002, China#TAB#","institution_ids":["https://openalex.org/I16351329"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5062587248","display_name":"L. C. L. Yuan","orcid":"https://orcid.org/0000-0002-9912-2248"},"institutions":[{"id":"https://openalex.org/I37461747","display_name":"Wuhan University","ror":"https://ror.org/033vjfk17","country_code":"CN","type":"education","lineage":["https://openalex.org/I37461747"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Liuyang Yuan","raw_affiliation_strings":["School of Mathematics and Statistics, Wuhan University, Wuhan, Hubei 430072, China","School of Mathematics and Statistics , Wuhan University , Wuhan , Hubei , 430072 , China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Wuhan University, Wuhan, Hubei 430072, China","institution_ids":["https://openalex.org/I37461747"]},{"raw_affiliation_string":"School of Mathematics and Statistics , Wuhan University , Wuhan , Hubei , 430072 , China","institution_ids":["https://openalex.org/I37461747"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":1050,"currency":"USD","value_usd":1050},"apc_paid":{"value":1050,"currency":"USD","value_usd":1050},"fwci":0.8898,"has_fulltext":true,"cited_by_count":5,"citation_normalized_percentile":{"value":0.73351561,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"2011","issue":"1","first_page":null,"last_page":null},"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/T11777","display_name":"Fixed Point Theorems Analysis","score":0.994700014591217,"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"}},{"id":"https://openalex.org/T12809","display_name":"Contact Mechanics and Variational Inequalities","score":0.9908999800682068,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/hilbert-space","display_name":"Hilbert space","score":0.8164119720458984},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6940432786941528},{"id":"https://openalex.org/keywords/uniqueness","display_name":"Uniqueness","score":0.6925964951515198},{"id":"https://openalex.org/keywords/variational-inequality","display_name":"Variational inequality","score":0.661176323890686},{"id":"https://openalex.org/keywords/banach-space","display_name":"Banach space","score":0.638266921043396},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.6032098531723022},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6016751527786255},{"id":"https://openalex.org/keywords/fixed-point","display_name":"Fixed point","score":0.600156307220459},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.4819612205028534},{"id":"https://openalex.org/keywords/fixed-point-theorem","display_name":"Fixed-point theorem","score":0.4255709648132324},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3503102660179138},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.33338049054145813},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.29645514488220215}],"concepts":[{"id":"https://openalex.org/C62799726","wikidata":"https://www.wikidata.org/wiki/Q190056","display_name":"Hilbert space","level":2,"score":0.8164119720458984},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6940432786941528},{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.6925964951515198},{"id":"https://openalex.org/C161999928","wikidata":"https://www.wikidata.org/wiki/Q4556320","display_name":"Variational inequality","level":2,"score":0.661176323890686},{"id":"https://openalex.org/C132954091","wikidata":"https://www.wikidata.org/wiki/Q194397","display_name":"Banach space","level":2,"score":0.638266921043396},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.6032098531723022},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6016751527786255},{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.600156307220459},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.4819612205028534},{"id":"https://openalex.org/C45962547","wikidata":"https://www.wikidata.org/wiki/Q1422068","display_name":"Fixed-point theorem","level":2,"score":0.4255709648132324},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3503102660179138},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.33338049054145813},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.29645514488220215},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","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}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1155/2011/961038","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2011/961038","pdf_url":"https://downloads.hindawi.com/journals/jam/2011/961038.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:CULeuclid:euclid.jam/1331818631","is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.jam/1331818631","pdf_url":null,"source":{"id":"https://openalex.org/S4306400787","display_name":"Project Euclid (Cornell University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},{"id":"pmh:oai:RePEc:hin:jnljam:961038","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/JAM/2011/961038.xml","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"},{"id":"pmh:oai:doaj.org/article:97bd99f78f2243fdaed631c604cc1971","is_oa":true,"landing_page_url":"https://doaj.org/article/97bd99f78f2243fdaed631c604cc1971","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Applied Mathematics, Vol 2011 (2011)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2011/961038","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2011/961038","pdf_url":"https://downloads.hindawi.com/journals/jam/2011/961038.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10","score":0.7900000214576721}],"awards":[{"id":"https://openalex.org/G3682561198","display_name":"\u4e0d\u9002\u5b9a\u4e8c\u5c42\u89c4\u5212\u6c42\u89e3\u7b56\u7565\u53ca\u5728\u59d4\u6258\u4ee3\u7406\u4e2d\u7684\u5e94\u7528\u7814\u7a76","funder_award_id":"71171150","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3780180761","display_name":null,"funder_award_id":"60804065","funder_id":"https://openalex.org/F4320324116","funder_display_name":"Wuhan University"},{"id":"https://openalex.org/G468078238","display_name":null,"funder_award_id":"60804065","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5487473845","display_name":null,"funder_award_id":"60804065","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"},{"id":"https://openalex.org/G7476895475","display_name":null,"funder_award_id":"71171150","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"},{"id":"https://openalex.org/G7615083070","display_name":null,"funder_award_id":"71171150","funder_id":"https://openalex.org/F4320324116","funder_display_name":"Wuhan University"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320324116","display_name":"Wuhan University","ror":"https://ror.org/033vjfk17"},{"id":"https://openalex.org/F4320335787","display_name":"Fundamental Research Funds for the Central Universities","ror":null}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1984145396.pdf","grobid_xml":"https://content.openalex.org/works/W1984145396.grobid-xml"},"referenced_works_count":33,"referenced_works":["https://openalex.org/W142477851","https://openalex.org/W145776808","https://openalex.org/W1964464035","https://openalex.org/W1968480319","https://openalex.org/W1976150918","https://openalex.org/W1976606979","https://openalex.org/W1980446853","https://openalex.org/W1994047963","https://openalex.org/W2003167208","https://openalex.org/W2003282727","https://openalex.org/W2004712164","https://openalex.org/W2005301135","https://openalex.org/W2006918194","https://openalex.org/W2014094160","https://openalex.org/W2018562143","https://openalex.org/W2023259320","https://openalex.org/W2023847335","https://openalex.org/W2029729703","https://openalex.org/W2032068878","https://openalex.org/W2032658985","https://openalex.org/W2043381604","https://openalex.org/W2067080690","https://openalex.org/W2071031234","https://openalex.org/W2077886821","https://openalex.org/W2105178727","https://openalex.org/W2109846476","https://openalex.org/W2118218945","https://openalex.org/W2149833632","https://openalex.org/W2157805373","https://openalex.org/W2158169505","https://openalex.org/W3203587158","https://openalex.org/W7000417832","https://openalex.org/W7062114071"],"related_works":["https://openalex.org/W1991765628","https://openalex.org/W1987269275","https://openalex.org/W2055132062","https://openalex.org/W2071359864","https://openalex.org/W2330072811","https://openalex.org/W2053463107","https://openalex.org/W3164499765","https://openalex.org/W2381443067","https://openalex.org/W2121115887","https://openalex.org/W2058725647"],"abstract_inverted_index":{"A":[0],"new":[1,52],"system":[2,58],"of":[3,33,59,70,94],"generalized":[4,60],"mixed":[5,61],"quasivariational":[6,62],"inclusions":[7],"(for":[8],"short,":[9],"SGMQVI)":[10],"with":[11],"relaxed":[12],"cocoercive":[13],"operators,":[14],"which":[15],"develop":[16],"some":[17,51,113],"preexisting":[18],"variational":[19,96],"inequalities,":[20],"is":[21,98],"introduced":[22],"and":[23,31,111],"investigated":[24],"in":[25,41,100,106,116],"Banach":[26,43],"spaces.":[27,44],"Next,":[28],"the":[29,36,57,76,87,117],"existence":[30],"uniqueness":[32],"solutions":[34],"to":[35],"problem":[37,64],"(SGMQVI)":[38],"are":[39,79],"established":[40],"real":[42],"From":[45],"fixed":[46],"point":[47],"perspective,":[48],"we":[49],"propose":[50],"iterative":[53,72],"algorithms":[54,78],"for":[55,91],"solving":[56],"inclusion":[63],"(SGMQVI).":[65],"Moreover,":[66],"strong":[67,88],"convergence":[68,89],"theorems":[69],"these":[71],"sequences":[73],"generated":[74],"by":[75],"corresponding":[77],"proved":[80],"under":[81],"suitable":[82],"conditions.":[83],"As":[84],"an":[85],"application,":[86],"theorem":[90],"a":[92],"class":[93],"bilevel":[95],"inequalities":[97],"derived":[99],"Hilbert":[101],"space.":[102],"The":[103],"main":[104],"results":[105,115],"this":[107],"paper":[108],"develop,":[109],"improve,":[110],"unify":[112],"well\u2010known":[114],"literature.":[118]},"counts_by_year":[{"year":2019,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2013,"cited_by_count":3}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}
