{"id":"https://openalex.org/W2069780963","doi":"https://doi.org/10.1155/2012/308791","title":"Strong Convergence to Solutions of Generalized Mixed Equilibrium Problems with Applications","display_name":"Strong Convergence to Solutions of Generalized Mixed Equilibrium Problems with Applications","publication_year":2012,"publication_date":"2012-01-01","ids":{"openalex":"https://openalex.org/W2069780963","doi":"https://doi.org/10.1155/2012/308791","mag":"2069780963"},"language":"en","primary_location":{"id":"doi:10.1155/2012/308791","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2012/308791","pdf_url":"https://downloads.hindawi.com/journals/jam/2012/308791.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/2012/308791.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5056850683","display_name":"Prasit Cholamjiak","orcid":"https://orcid.org/0000-0003-2996-1166"},"institutions":[{"id":"https://openalex.org/I4210117768","display_name":"Centre of Excellence in Mathematics","ror":"https://ror.org/02df7gw66","country_code":"TH","type":"education","lineage":["https://openalex.org/I4210117768"]},{"id":"https://openalex.org/I4210090662","display_name":"University of Phayao","ror":"https://ror.org/00a5mh069","country_code":"TH","type":"education","lineage":["https://openalex.org/I4210090662"]}],"countries":["TH"],"is_corresponding":false,"raw_author_name":"Prasit Cholamjiak","raw_affiliation_strings":["Centre of Excellence in Mathematics, CHE, Si Ayutthaya Road, Bangkok 10400, Thailand","School of Science, University of Phayao, Phayao 56000, Thailand","School of Science, University of Phayao, Phayao 56000","Centre of Excellence in Mathematics, CHE, Si Ayutthaya Road, Bangkok 10400"],"affiliations":[{"raw_affiliation_string":"Centre of Excellence in Mathematics, CHE, Si Ayutthaya Road, Bangkok 10400, Thailand","institution_ids":["https://openalex.org/I4210117768"]},{"raw_affiliation_string":"School of Science, University of Phayao, Phayao 56000, Thailand","institution_ids":["https://openalex.org/I4210090662"]},{"raw_affiliation_string":"School of Science, University of Phayao, Phayao 56000","institution_ids":["https://openalex.org/I4210090662"]},{"raw_affiliation_string":"Centre of Excellence in Mathematics, CHE, Si Ayutthaya Road, Bangkok 10400","institution_ids":["https://openalex.org/I4210117768"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5079145991","display_name":"Suthep Suantai","orcid":"https://orcid.org/0000-0002-4478-1422"},"institutions":[{"id":"https://openalex.org/I4210117768","display_name":"Centre of Excellence in Mathematics","ror":"https://ror.org/02df7gw66","country_code":"TH","type":"education","lineage":["https://openalex.org/I4210117768"]},{"id":"https://openalex.org/I48076826","display_name":"Chiang Mai University","ror":"https://ror.org/05m2fqn25","country_code":"TH","type":"education","lineage":["https://openalex.org/I48076826"]}],"countries":["TH"],"is_corresponding":false,"raw_author_name":"Suthep Suantai","raw_affiliation_strings":["Centre of Excellence in Mathematics, CHE, Si Ayutthaya Road, Bangkok 10400, Thailand","Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, Thailand","Centre of Excellence in Mathematics, CHE, Si Ayutthaya Road, Bangkok 10400","Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200"],"affiliations":[{"raw_affiliation_string":"Centre of Excellence in Mathematics, CHE, Si Ayutthaya Road, Bangkok 10400, Thailand","institution_ids":["https://openalex.org/I4210117768"]},{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, Thailand","institution_ids":["https://openalex.org/I48076826"]},{"raw_affiliation_string":"Centre of Excellence in Mathematics, CHE, Si Ayutthaya Road, Bangkok 10400","institution_ids":["https://openalex.org/I4210117768"]},{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200","institution_ids":["https://openalex.org/I48076826"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5033903356","display_name":"Yeol Je Cho","orcid":"https://orcid.org/0000-0002-1250-2214"},"institutions":[{"id":"https://openalex.org/I189442560","display_name":"Gyeongsang National University","ror":"https://ror.org/00saywf64","country_code":"KR","type":"education","lineage":["https://openalex.org/I189442560"]}],"countries":["KR"],"is_corresponding":true,"raw_author_name":"Yeol Je Cho","raw_affiliation_strings":["Department of Mathematics Education and the RINS, Gyeongsang National University, Jinju 660-701, Republic of Korea","Department of Mathematics Education and the RINS, Gyeongsang National University, Jinju 660-701"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics Education and the RINS, Gyeongsang National University, Jinju 660-701, Republic of Korea","institution_ids":["https://openalex.org/I189442560"]},{"raw_affiliation_string":"Department of Mathematics Education and the RINS, Gyeongsang National University, Jinju 660-701","institution_ids":["https://openalex.org/I189442560"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5033903356"],"corresponding_institution_ids":["https://openalex.org/I189442560"],"apc_list":{"value":1025,"currency":"USD","value_usd":1025},"apc_paid":{"value":1025,"currency":"USD","value_usd":1025},"fwci":1.0366,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":{"value":0.7791202,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"2012","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":1.0,"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":1.0,"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":0.9919000267982483,"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":0.9889000058174133,"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/mathematics","display_name":"Mathematics","score":0.7715064287185669},{"id":"https://openalex.org/keywords/banach-space","display_name":"Banach space","score":0.7612156867980957},{"id":"https://openalex.org/keywords/variational-inequality","display_name":"Variational inequality","score":0.668938934803009},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6333169937133789},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.5715956687927246},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5426242351531982},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.35233235359191895}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7715064287185669},{"id":"https://openalex.org/C132954091","wikidata":"https://www.wikidata.org/wiki/Q194397","display_name":"Banach space","level":2,"score":0.7612156867980957},{"id":"https://openalex.org/C161999928","wikidata":"https://www.wikidata.org/wiki/Q4556320","display_name":"Variational inequality","level":2,"score":0.668938934803009},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6333169937133789},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.5715956687927246},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5426242351531982},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.35233235359191895},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1155/2012/308791","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2012/308791","pdf_url":"https://downloads.hindawi.com/journals/jam/2012/308791.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/1357180304","is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.jam/1357180304","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:308791","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/JAM/2012/308791.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:f9ff1914ac2443f5a6c9982f0e119b68","is_oa":true,"landing_page_url":"https://doaj.org/article/f9ff1914ac2443f5a6c9982f0e119b68","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-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 2012 (2012)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2012/308791","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2012/308791","pdf_url":"https://downloads.hindawi.com/journals/jam/2012/308791.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":[{"id":"https://metadata.un.org/sdg/10","score":0.41999998688697815,"display_name":"Reduced inequalities"}],"awards":[{"id":"https://openalex.org/G2356869090","display_name":null,"funder_award_id":"2011-0021821","funder_id":"https://openalex.org/F4320322349","funder_display_name":"Ministry of Education, Science and Technology"},{"id":"https://openalex.org/G2547137473","display_name":null,"funder_award_id":"2011-0021821","funder_id":"https://openalex.org/F4320322120","funder_display_name":"National Research Foundation of Korea"},{"id":"https://openalex.org/G342704958","display_name":null,"funder_award_id":"funded","funder_id":"https://openalex.org/F4320322120","funder_display_name":"National Research Foundation of Korea"},{"id":"https://openalex.org/G5803900748","display_name":null,"funder_award_id":"2011-0021821","funder_id":"https://openalex.org/F4320320671","funder_display_name":"National Research Foundation"}],"funders":[{"id":"https://openalex.org/F4320320671","display_name":"National Research Foundation","ror":"https://ror.org/05s0g1g46"},{"id":"https://openalex.org/F4320322120","display_name":"National Research Foundation of Korea","ror":"https://ror.org/013aysd81"},{"id":"https://openalex.org/F4320322349","display_name":"Ministry of Education, Science and Technology","ror":"https://ror.org/01p262204"},{"id":"https://openalex.org/F4320322614","display_name":"Thailand Research Fund","ror":"https://ror.org/03gd1bh37"},{"id":"https://openalex.org/F4320324072","display_name":"Commission on Higher Education","ror":"https://ror.org/04s346m05"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2069780963.pdf","grobid_xml":"https://content.openalex.org/works/W2069780963.grobid-xml"},"referenced_works_count":42,"referenced_works":["https://openalex.org/W76468856","https://openalex.org/W154593720","https://openalex.org/W178044176","https://openalex.org/W584768994","https://openalex.org/W1539408669","https://openalex.org/W1854489029","https://openalex.org/W1974228432","https://openalex.org/W1977111935","https://openalex.org/W1977841421","https://openalex.org/W1980232119","https://openalex.org/W1991358707","https://openalex.org/W1991438285","https://openalex.org/W1992545424","https://openalex.org/W1994148550","https://openalex.org/W1999314231","https://openalex.org/W2000311910","https://openalex.org/W2003055811","https://openalex.org/W2005987739","https://openalex.org/W2017571121","https://openalex.org/W2018056315","https://openalex.org/W2031913965","https://openalex.org/W2032813735","https://openalex.org/W2039067431","https://openalex.org/W2047605837","https://openalex.org/W2050182894","https://openalex.org/W2051076175","https://openalex.org/W2053212866","https://openalex.org/W2061511329","https://openalex.org/W2061610302","https://openalex.org/W2068099015","https://openalex.org/W2073163826","https://openalex.org/W2082219877","https://openalex.org/W2091398038","https://openalex.org/W2096048229","https://openalex.org/W2097835116","https://openalex.org/W2116648978","https://openalex.org/W2136317942","https://openalex.org/W2161903566","https://openalex.org/W2170936021","https://openalex.org/W2266418310","https://openalex.org/W2801143022","https://openalex.org/W6692973537"],"related_works":["https://openalex.org/W2071359864","https://openalex.org/W2107828318","https://openalex.org/W2014530303","https://openalex.org/W2800221421","https://openalex.org/W3010744542","https://openalex.org/W2143945241","https://openalex.org/W2019736576","https://openalex.org/W2136054732","https://openalex.org/W2367641551","https://openalex.org/W2010057865"],"abstract_inverted_index":{"We":[0],"introduce":[1],"a":[2,6],"Halpern\u2010type":[3],"iteration":[4],"for":[5],"generalized":[7,38],"mixed":[8,36,41],"equilibrium":[9],"problem":[10],"in":[11,25,45],"uniformly":[12,15],"smooth":[13],"and":[14,40,50],"convex":[16],"Banach":[17,46],"spaces.":[18,47],"Strong":[19],"convergence":[20],"theorems":[21],"are":[22,53],"also":[23,54],"established":[24],"this":[26],"paper.":[27],"As":[28],"applications,":[29],"we":[30],"apply":[31],"our":[32],"main":[33],"result":[34],"to":[35],"equilibrium,":[37,39],"variational":[42],"inequality":[43],"problems":[44],"Finally,":[48],"examples":[49],"numerical":[51],"results":[52],"given.":[55]},"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}