{"id":"https://openalex.org/W2160391035","doi":"https://doi.org/10.1155/2012/154968","title":"A New Iterative Scheme for Solving the Equilibrium Problems, Variational Inequality Problems, and Fixed Point Problems in Hilbert Spaces","display_name":"A New Iterative Scheme for Solving the Equilibrium Problems, Variational Inequality Problems, and Fixed Point Problems in Hilbert Spaces","publication_year":2012,"publication_date":"2012-01-01","ids":{"openalex":"https://openalex.org/W2160391035","doi":"https://doi.org/10.1155/2012/154968","mag":"2160391035"},"language":"en","primary_location":{"id":"doi:10.1155/2012/154968","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2012/154968","pdf_url":"https://downloads.hindawi.com/journals/jam/2012/154968.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/2012/154968.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5071816548","display_name":"Rabian Wangkeeree","orcid":"https://orcid.org/0000-0002-5715-3804"},"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/I66200439","display_name":"Naresuan University","ror":"https://ror.org/03e2qe334","country_code":"TH","type":"education","lineage":["https://openalex.org/I66200439"]}],"countries":["TH"],"is_corresponding":true,"raw_author_name":"Rabian Wangkeeree","raw_affiliation_strings":["Centre of Excellence in Mathematics, CHE, Si Ayutthaya Road, Bangkok 10400, Thailand","Department of Mathematics, Faculty of Science, Naresuan University, Phitsanulok 65000, Thailand","Department of Mathematics, Faculty of Science, Naresuan University, Phitsanulok 65000","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":"Department of Mathematics, Faculty of Science, Naresuan University, Phitsanulok 65000, Thailand","institution_ids":["https://openalex.org/I66200439"]},{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, Naresuan University, Phitsanulok 65000","institution_ids":["https://openalex.org/I66200439"]},{"raw_affiliation_string":"Centre of Excellence in Mathematics, CHE, Si Ayutthaya Road, Bangkok 10400","institution_ids":["https://openalex.org/I4210117768"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5012028959","display_name":"Pakkapon Preechasilp","orcid":"https://orcid.org/0000-0003-2826-2742"},"institutions":[{"id":"https://openalex.org/I66200439","display_name":"Naresuan University","ror":"https://ror.org/03e2qe334","country_code":"TH","type":"education","lineage":["https://openalex.org/I66200439"]}],"countries":["TH"],"is_corresponding":false,"raw_author_name":"Pakkapon Preechasilp","raw_affiliation_strings":["Department of Mathematics, Faculty of Science, Naresuan University, Phitsanulok 65000, Thailand","Department of Mathematics, Faculty of Science, Naresuan University, Phitsanulok 65000"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, Naresuan University, Phitsanulok 65000, Thailand","institution_ids":["https://openalex.org/I66200439"]},{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, Naresuan University, Phitsanulok 65000","institution_ids":["https://openalex.org/I66200439"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5071816548"],"corresponding_institution_ids":["https://openalex.org/I4210117768","https://openalex.org/I66200439"],"apc_list":{"value":1025,"currency":"USD","value_usd":1025},"apc_paid":{"value":1025,"currency":"USD","value_usd":1025},"fwci":2.0767,"has_fulltext":true,"cited_by_count":7,"citation_normalized_percentile":{"value":0.87783895,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"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/T11777","display_name":"Fixed Point Theorems Analysis","score":0.9921000003814697,"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9908999800682068,"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":0.8490643501281738},{"id":"https://openalex.org/keywords/hilbert-space","display_name":"Hilbert space","score":0.8275820016860962},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7855315208435059},{"id":"https://openalex.org/keywords/fixed-point","display_name":"Fixed point","score":0.7431217432022095},{"id":"https://openalex.org/keywords/lipschitz-continuity","display_name":"Lipschitz continuity","score":0.7043657302856445},{"id":"https://openalex.org/keywords/monotone-polygon","display_name":"Monotone polygon","score":0.6954450607299805},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6018787622451782},{"id":"https://openalex.org/keywords/strongly-monotone","display_name":"Strongly monotone","score":0.5930535793304443},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5564718246459961},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.5447997450828552},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.5163232684135437},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4488065540790558},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3400641083717346},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.29880261421203613},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.13240987062454224}],"concepts":[{"id":"https://openalex.org/C161999928","wikidata":"https://www.wikidata.org/wiki/Q4556320","display_name":"Variational inequality","level":2,"score":0.8490643501281738},{"id":"https://openalex.org/C62799726","wikidata":"https://www.wikidata.org/wiki/Q190056","display_name":"Hilbert space","level":2,"score":0.8275820016860962},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7855315208435059},{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.7431217432022095},{"id":"https://openalex.org/C22324862","wikidata":"https://www.wikidata.org/wiki/Q652707","display_name":"Lipschitz continuity","level":2,"score":0.7043657302856445},{"id":"https://openalex.org/C2834757","wikidata":"https://www.wikidata.org/wiki/Q4925424","display_name":"Monotone polygon","level":2,"score":0.6954450607299805},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6018787622451782},{"id":"https://openalex.org/C12715386","wikidata":"https://www.wikidata.org/wiki/Q7624691","display_name":"Strongly monotone","level":3,"score":0.5930535793304443},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5564718246459961},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.5447997450828552},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.5163232684135437},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4488065540790558},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3400641083717346},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.29880261421203613},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.13240987062454224},{"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/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:10.1155/2012/154968","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2012/154968","pdf_url":"https://downloads.hindawi.com/journals/jam/2012/154968.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/1357179968","is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.jam/1357179968","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:154968","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/JAM/2012/154968.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:f70845dd92604cce801bcf1f44ff591b","is_oa":true,"landing_page_url":"https://doaj.org/article/f70845dd92604cce801bcf1f44ff591b","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:10.1155/2012/154968","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2012/154968","pdf_url":"https://downloads.hindawi.com/journals/jam/2012/154968.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":0.5699999928474426,"display_name":"Reduced inequalities"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320311649","display_name":"Ministry of Education","ror":"https://ror.org/036nq5137"},{"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/W2160391035.pdf","grobid_xml":"https://content.openalex.org/works/W2160391035.grobid-xml"},"referenced_works_count":13,"referenced_works":["https://openalex.org/W178044176","https://openalex.org/W602911405","https://openalex.org/W1441652847","https://openalex.org/W1487976166","https://openalex.org/W1546168022","https://openalex.org/W2024243189","https://openalex.org/W2033943991","https://openalex.org/W2042461834","https://openalex.org/W2054497632","https://openalex.org/W2056838549","https://openalex.org/W2070694134","https://openalex.org/W2132677982","https://openalex.org/W2134851358"],"related_works":["https://openalex.org/W4221091651","https://openalex.org/W1990089414","https://openalex.org/W2383497899","https://openalex.org/W4300298440","https://openalex.org/W2351336444","https://openalex.org/W2085771669","https://openalex.org/W2151259414","https://openalex.org/W1527893101","https://openalex.org/W4297789459","https://openalex.org/W1954129958"],"abstract_inverted_index":{"We":[0,36],"introduce":[1],"the":[2,19,38,59],"new":[3],"iterative":[4,44],"methods":[5],"for":[6],"finding":[7],"a":[8,29,47],"common":[9],"solution":[10,31],"set":[11,20],"of":[12,21,24,32,42],"monotone,":[13],"Lipschitz\u2010type":[14],"continuous":[15],"equilibrium":[16],"problems":[17],"and":[18],"fixed":[22],"point":[23],"nonexpansive":[25],"mappings":[26],"which":[27],"is":[28],"unique":[30],"some":[33],"variational":[34],"inequality.":[35],"prove":[37],"strong":[39],"convergence":[40],"theorems":[41],"such":[43],"scheme":[45],"in":[46,58],"real":[48],"Hilbert":[49],"space.":[50],"The":[51],"main":[52],"result":[53],"extends":[54],"various":[55],"results":[56],"existing":[57],"current":[60],"literature.":[61]},"counts_by_year":[{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
