{"id":"https://openalex.org/W2026635091","doi":"https://doi.org/10.1007/s10898-012-0030-1","title":"Strong convergence for maximal monotone operators, relatively quasi-nonexpansive mappings, variational inequalities and equilibrium problems","display_name":"Strong convergence for maximal monotone operators, relatively quasi-nonexpansive mappings, variational inequalities and equilibrium problems","publication_year":2013,"publication_date":"2013-01-02","ids":{"openalex":"https://openalex.org/W2026635091","doi":"https://doi.org/10.1007/s10898-012-0030-1","mag":"2026635091"},"language":"en","primary_location":{"id":"doi:10.1007/s10898-012-0030-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10898-012-0030-1","pdf_url":null,"source":{"id":"https://openalex.org/S115925768","display_name":"Journal of Global Optimization","issn_l":"0925-5001","issn":["0925-5001","1573-2916"],"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 Global Optimization","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/A5051427722","display_name":"Siwaporn Saewan","orcid":null},"institutions":[{"id":"https://openalex.org/I79246082","display_name":"Thaksin University","ror":"https://ror.org/00t2prd39","country_code":"TH","type":"education","lineage":["https://openalex.org/I79246082"]}],"countries":["TH"],"is_corresponding":true,"raw_author_name":"Siwaporn Saewan","raw_affiliation_strings":["Department of Mathematics and Statistics, Faculty of Science, Thaksin University (TSU), Phat Tha Lung, Thailand","Department of Mathematics and Statistics, Faculty of Science, Thaksin University (TSU), Phat Tha Lung, Thailand#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, Faculty of Science, Thaksin University (TSU), Phat Tha Lung, Thailand","institution_ids":["https://openalex.org/I79246082"]},{"raw_affiliation_string":"Department of Mathematics and Statistics, Faculty of Science, Thaksin University (TSU), Phat Tha Lung, Thailand#TAB#","institution_ids":["https://openalex.org/I79246082"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5036720066","display_name":"Poom Kumam","orcid":"https://orcid.org/0000-0002-5463-4581"},"institutions":[{"id":"https://openalex.org/I60837268","display_name":"King Mongkut's University of Technology Thonburi","ror":"https://ror.org/0057ax056","country_code":"TH","type":"education","lineage":["https://openalex.org/I60837268"]}],"countries":["TH"],"is_corresponding":false,"raw_author_name":"Poom Kumam","raw_affiliation_strings":["Department of Mathematics, Faculty of Science, King Mongkut\u2019s University of Technology Thonburi (KMUTT), Bangmod, Bangkok, 10140, Thailand","Department of Mathematics, Faculty of Science, King Mongkut's University of Technology Thonburi (KMUTT), Bangkok, Thailand 10140#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, King Mongkut\u2019s University of Technology Thonburi (KMUTT), Bangmod, Bangkok, 10140, Thailand","institution_ids":["https://openalex.org/I60837268"]},{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, King Mongkut's University of Technology Thonburi (KMUTT), Bangkok, Thailand 10140#TAB#","institution_ids":["https://openalex.org/I60837268"]}]},{"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"]},{"id":"https://openalex.org/I28019184","display_name":"Chinju National University of Education","ror":"https://ror.org/042jsgw44","country_code":"KR","type":"education","lineage":["https://openalex.org/I28019184"]}],"countries":["KR"],"is_corresponding":true,"raw_author_name":"Yeol Je Cho","raw_affiliation_strings":["Department of Mathematics Education and RINS, Gyeongsang National University, Chinju, 660-701, Republic of Korea","Department of Mathematics Education and RINS, Gyeongsang National University, Chinju, Republic of Korea 660-701#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics Education and RINS, Gyeongsang National University, Chinju, 660-701, Republic of Korea","institution_ids":["https://openalex.org/I28019184","https://openalex.org/I189442560"]},{"raw_affiliation_string":"Department of Mathematics Education and RINS, Gyeongsang National University, Chinju, Republic of Korea 660-701#TAB#","institution_ids":["https://openalex.org/I189442560"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5033903356","https://openalex.org/A5051427722"],"corresponding_institution_ids":["https://openalex.org/I189442560","https://openalex.org/I28019184","https://openalex.org/I79246082"],"apc_list":{"value":2190,"currency":"EUR","value_usd":2780},"apc_paid":null,"fwci":0.7449,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.73133808,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"57","issue":"4","first_page":"1299","last_page":"1318"},"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":0.9872999787330627,"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":0.9800000190734863,"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":0.922953724861145},{"id":"https://openalex.org/keywords/variational-inequality","display_name":"Variational inequality","score":0.8948444128036499},{"id":"https://openalex.org/keywords/monotone-polygon","display_name":"Monotone polygon","score":0.7494664788246155},{"id":"https://openalex.org/keywords/hilbert-space","display_name":"Hilbert space","score":0.731501042842865},{"id":"https://openalex.org/keywords/banach-space","display_name":"Banach space","score":0.7011002898216248},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6677020788192749},{"id":"https://openalex.org/keywords/strongly-monotone","display_name":"Strongly monotone","score":0.6396011114120483},{"id":"https://openalex.org/keywords/fixed-point","display_name":"Fixed point","score":0.582394540309906},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.5336053967475891},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.4955548048019409},{"id":"https://openalex.org/keywords/convex-function","display_name":"Convex function","score":0.4679490625858307},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4506743252277374},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.42063283920288086},{"id":"https://openalex.org/keywords/weak-convergence","display_name":"Weak convergence","score":0.4201950430870056},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4200228750705719},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.39726412296295166},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.39456450939178467},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3059866428375244}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.922953724861145},{"id":"https://openalex.org/C161999928","wikidata":"https://www.wikidata.org/wiki/Q4556320","display_name":"Variational inequality","level":2,"score":0.8948444128036499},{"id":"https://openalex.org/C2834757","wikidata":"https://www.wikidata.org/wiki/Q4925424","display_name":"Monotone polygon","level":2,"score":0.7494664788246155},{"id":"https://openalex.org/C62799726","wikidata":"https://www.wikidata.org/wiki/Q190056","display_name":"Hilbert space","level":2,"score":0.731501042842865},{"id":"https://openalex.org/C132954091","wikidata":"https://www.wikidata.org/wiki/Q194397","display_name":"Banach space","level":2,"score":0.7011002898216248},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6677020788192749},{"id":"https://openalex.org/C12715386","wikidata":"https://www.wikidata.org/wiki/Q7624691","display_name":"Strongly monotone","level":3,"score":0.6396011114120483},{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.582394540309906},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.5336053967475891},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.4955548048019409},{"id":"https://openalex.org/C145446738","wikidata":"https://www.wikidata.org/wiki/Q319913","display_name":"Convex function","level":3,"score":0.4679490625858307},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4506743252277374},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.42063283920288086},{"id":"https://openalex.org/C57945734","wikidata":"https://www.wikidata.org/wiki/Q7977941","display_name":"Weak convergence","level":3,"score":0.4201950430870056},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4200228750705719},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.39726412296295166},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.39456450939178467},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3059866428375244},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"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/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.0},{"id":"https://openalex.org/C76178495","wikidata":"https://www.wikidata.org/wiki/Q4808784","display_name":"Asset (computer security)","level":2,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","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/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10898-012-0030-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10898-012-0030-1","pdf_url":null,"source":{"id":"https://openalex.org/S115925768","display_name":"Journal of Global Optimization","issn_l":"0925-5001","issn":["0925-5001","1573-2916"],"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 Global Optimization","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:spr:jglopt:v:57:y:2013:i:4:p:1299-1318","is_oa":false,"landing_page_url":"http://hdl.handle.net/10.1007/s10898-012-0030-1","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":[{"score":0.5600000023841858,"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":42,"referenced_works":["https://openalex.org/W154593720","https://openalex.org/W160566206","https://openalex.org/W584768994","https://openalex.org/W614467277","https://openalex.org/W1527404760","https://openalex.org/W1539408669","https://openalex.org/W1973746866","https://openalex.org/W1975575525","https://openalex.org/W1977841421","https://openalex.org/W1983895522","https://openalex.org/W1986863729","https://openalex.org/W1991438285","https://openalex.org/W2005987739","https://openalex.org/W2011772173","https://openalex.org/W2014530303","https://openalex.org/W2017847170","https://openalex.org/W2023738164","https://openalex.org/W2027871311","https://openalex.org/W2031913965","https://openalex.org/W2038497950","https://openalex.org/W2039067431","https://openalex.org/W2041143200","https://openalex.org/W2041188282","https://openalex.org/W2044909242","https://openalex.org/W2049777873","https://openalex.org/W2049896484","https://openalex.org/W2050149585","https://openalex.org/W2050182894","https://openalex.org/W2051117408","https://openalex.org/W2057568664","https://openalex.org/W2066514174","https://openalex.org/W2067080690","https://openalex.org/W2075055719","https://openalex.org/W2084752952","https://openalex.org/W2084850893","https://openalex.org/W2092672032","https://openalex.org/W2117542250","https://openalex.org/W2128671206","https://openalex.org/W2132677982","https://openalex.org/W2266418310","https://openalex.org/W3042054678","https://openalex.org/W4245503300"],"related_works":["https://openalex.org/W2383497899","https://openalex.org/W2011614914","https://openalex.org/W4300843901","https://openalex.org/W1561249172","https://openalex.org/W2951312832","https://openalex.org/W2794072299","https://openalex.org/W2280242407","https://openalex.org/W1816587483","https://openalex.org/W2085771669","https://openalex.org/W2011881806"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2026-06-19T15:47:20.252518","created_date":"2025-10-10T00:00:00"}
