{"id":"https://openalex.org/W3005772276","doi":null,"title":"An Extragradient Method without Monotonicity","display_name":"An Extragradient Method without Monotonicity","publication_year":2019,"publication_date":"2019-12-14","ids":{"openalex":"https://openalex.org/W3005772276","mag":"3005772276"},"language":"en","primary_location":{"id":"pmh:oai:ojs2.thaijmath.com:article/986","doi":null,"is_oa":true,"landing_page_url":"https://thaijmath.com/index.php/index/article/view/986","pdf_url":null,"source":{"id":"https://openalex.org/S2764954419","display_name":"Thai Journal of Mathematics","issn_l":"1686-0209","issn":["1686-0209"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":["dongbi-c","jufo-1","poland-20","russia-white-list-3"],"host_organization":"https://openalex.org/P4310319374","host_organization_name":"Chiang Mai University","host_organization_lineage":["https://openalex.org/P4310319374"],"host_organization_lineage_names":["Chiang Mai University"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"1686-0209","raw_type":"info:eu-repo/semantics/article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":[],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://thaijmath.com/index.php/index/article/view/986","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5016172315","display_name":"Thidaporn Seangwattana","orcid":"https://orcid.org/0000-0002-1240-1181","observed_orcids":["https://orcid.org/0000-0002-1240-1181"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Thidaporn Seangwattana","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0002-1240-1181","affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5039921095","display_name":"Somyot Plubtieng","orcid":"https://orcid.org/0000-0003-4787-7283","observed_orcids":["https://orcid.org/0000-0003-4787-7283"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Somyot Plubtieng","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0003-4787-7283","affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5005280928","display_name":"Tadchai Yuying","orcid":"https://orcid.org/0000-0002-1288-7847","observed_orcids":["https://orcid.org/0000-0002-1288-7847"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Tadchai Yuying","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0002-1288-7847","affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.2139,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.40746586,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":93},"biblio":{"volume":"18","issue":"1","first_page":"94","last_page":"103"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9976000189781189,"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":0.9976000189781189,"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/T12809","display_name":"Contact Mechanics and Variational Inequalities","score":0.00019999999494757503,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11777","display_name":"Fixed Point Theorems Analysis","score":9.999999747378752e-05,"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/extragradient-method","display_name":"extragradient method","score":0.996999979019165},{"id":"https://openalex.org/keywords/common-element-of-solution-sets","display_name":"common element of solution sets","score":0.7080000042915344},{"id":"https://openalex.org/keywords/iterative-processes","display_name":"iterative processes","score":0.6669999957084656}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9305122494697571},{"id":"https://openalex.org/C161999928","wikidata":"https://www.wikidata.org/wiki/Q4556320","display_name":"Variational inequality","level":2,"score":0.8668314814567566},{"id":"https://openalex.org/C2834757","wikidata":"https://www.wikidata.org/wiki/Q4925424","display_name":"Monotone polygon","level":2,"score":0.7448408603668213},{"id":"https://openalex.org/C72169020","wikidata":"https://www.wikidata.org/wiki/Q194404","display_name":"Monotonic function","level":2,"score":0.740287184715271},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.7004103660583496},{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.629995584487915},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5402777194976807},{"id":"https://openalex.org/C143587482","wikidata":"https://www.wikidata.org/wiki/Q1543216","display_name":"Iterative and incremental development","level":2,"score":0.5227501392364502},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.45916447043418884},{"id":"https://openalex.org/C12715386","wikidata":"https://www.wikidata.org/wiki/Q7624691","display_name":"Strongly monotone","level":3,"score":0.4365622401237488},{"id":"https://openalex.org/C57945734","wikidata":"https://www.wikidata.org/wiki/Q7977941","display_name":"Weak convergence","level":3,"score":0.4270177483558655},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3720496892929077},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3131135106086731},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.06568509340286255},{"id":"https://openalex.org/C115903868","wikidata":"https://www.wikidata.org/wiki/Q80993","display_name":"Software engineering","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/C76178495","wikidata":"https://www.wikidata.org/wiki/Q4808784","display_name":"Asset (computer security)","level":2,"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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"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/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:ojs2.thaijmath.com:article/986","doi":null,"is_oa":true,"landing_page_url":"https://thaijmath.com/index.php/index/article/view/986","pdf_url":null,"source":{"id":"https://openalex.org/S2764954419","display_name":"Thai Journal of Mathematics","issn_l":"1686-0209","issn":["1686-0209"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":["dongbi-c","jufo-1","poland-20","russia-white-list-3"],"host_organization":"https://openalex.org/P4310319374","host_organization_name":"Chiang Mai University","host_organization_lineage":["https://openalex.org/P4310319374"],"host_organization_lineage_names":["Chiang Mai University"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"1686-0209","raw_type":"info:eu-repo/semantics/article"},{"id":"mag:3005772276","doi":null,"is_oa":true,"landing_page_url":"http://thaijmath.in.cmu.ac.th/index.php/thaijmath/article/view/4220","pdf_url":null,"source":{"id":"https://openalex.org/S2764954419","display_name":"Thai Journal of Mathematics","issn_l":"1686-0209","issn":["1686-0209"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":["dongbi-c","jufo-1","poland-20","russia-white-list-3"],"host_organization":"https://openalex.org/P4310319374","host_organization_name":"Chiang Mai University","host_organization_lineage":["https://openalex.org/P4310319374"],"host_organization_lineage_names":["Chiang Mai University"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":"Thai Journal of Mathematics","raw_type":null}],"best_oa_location":{"id":"pmh:oai:ojs2.thaijmath.com:article/986","doi":null,"is_oa":true,"landing_page_url":"https://thaijmath.com/index.php/index/article/view/986","pdf_url":null,"source":{"id":"https://openalex.org/S2764954419","display_name":"Thai Journal of Mathematics","issn_l":"1686-0209","issn":["1686-0209"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":["dongbi-c","jufo-1","poland-20","russia-white-list-3"],"host_organization":"https://openalex.org/P4310319374","host_organization_name":"Chiang Mai University","host_organization_lineage":["https://openalex.org/P4310319374"],"host_organization_lineage_names":["Chiang Mai University"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"1686-0209","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W1543439990","https://openalex.org/W1973746866","https://openalex.org/W2038497950","https://openalex.org/W2040006905","https://openalex.org/W2041525802","https://openalex.org/W2052611235","https://openalex.org/W2065121429","https://openalex.org/W2065279254","https://openalex.org/W2068626491","https://openalex.org/W2069356606","https://openalex.org/W2792962879"],"related_works":["https://openalex.org/W7216654965","https://openalex.org/W2052611235","https://openalex.org/W7216679374","https://openalex.org/W7217361295","https://openalex.org/W2801779199","https://openalex.org/W3199562357","https://openalex.org/W1876574230","https://openalex.org/W1971286683","https://openalex.org/W4236889691","https://openalex.org/W1966410363"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3,33],"present":[4],"an":[5,41],"iterative":[6],"process":[7,43],"for":[8],"finding":[9],"a":[10,22,29,35,46],"common":[11],"element":[12],"of":[13,16,28],"solution":[14],"sets":[15],"the":[17],"variational":[18],"inequality":[19],"problem,":[20],"without":[21],"monotone":[23],"mapping,":[24],"and":[25,44],"fixed":[26],"point":[27],"nonexpansive":[30],"mapping.":[31],"Moreover,":[32],"prove":[34],"weak":[36],"convergence":[37],"theorem":[38],"by":[39],"using":[40],"our":[42],"give":[45],"numerical":[47],"experiment.":[48]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2020,"cited_by_count":1}],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2020-02-24T00:00:00"}
