{"id":"https://openalex.org/W2904918902","doi":null,"title":"New Forward Backward Splitting Methods for Solving Pseudomonotone Variational Inequalities","display_name":"New Forward Backward Splitting Methods for Solving Pseudomonotone Variational Inequalities","publication_year":2018,"publication_date":"2018-08-31","ids":{"openalex":"https://openalex.org/W2904918902","mag":"2904918902"},"language":"en","primary_location":{"id":"pmh:oai:ojs2.thaijmath.com:article/808","doi":null,"is_oa":true,"landing_page_url":"https://thaijmath.com/index.php/index/article/view/808","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/808","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5013157044","display_name":"Kan Buranakorn","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Kan Buranakorn","raw_affiliation_strings":[],"raw_orcid":null,"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":0.2293,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.43791625,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":87,"max":93},"biblio":{"volume":"16","issue":"2","first_page":"489","last_page":"502"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9994999766349792,"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":0.9994999766349792,"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":9.999999747378752e-05,"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/T11564","display_name":"Mathematical Inequalities and Applications","score":0.0,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/pseudomonotone-variational-inequalities","display_name":"pseudomonotone variational inequalities","score":0.9290000200271606},{"id":"https://openalex.org/keywords/extragradient-method","display_name":"extragradient method","score":0.9800000190734863},{"id":"https://openalex.org/keywords/projection-step","display_name":"projection step","score":0.9660000205039978},{"id":"https://openalex.org/keywords/convergence-analysis","display_name":"convergence analysis","score":0.8830000162124634},{"id":"https://openalex.org/keywords/monotone-operators","display_name":"monotone operators","score":0.7360000014305115}],"concepts":[{"id":"https://openalex.org/C161999928","wikidata":"https://www.wikidata.org/wiki/Q4556320","display_name":"Variational inequality","level":2,"score":0.9173180460929871},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8689277172088623},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.7162399291992188},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.6918048858642578},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.5533813238143921},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5030400156974792},{"id":"https://openalex.org/C65557600","wikidata":"https://www.wikidata.org/wiki/Q7249451","display_name":"Projection method","level":3,"score":0.4879405200481415},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.4482736587524414},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.30503079295158386},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2912794351577759},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2741653621196747},{"id":"https://openalex.org/C202426404","wikidata":"https://www.wikidata.org/wiki/Q5318686","display_name":"Dykstra's projection algorithm","level":2,"score":0.16814187169075012},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.08962014317512512},{"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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:ojs2.thaijmath.com:article/808","doi":null,"is_oa":true,"landing_page_url":"https://thaijmath.com/index.php/index/article/view/808","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:2904918902","doi":null,"is_oa":true,"landing_page_url":"http://thaijmath.in.cmu.ac.th/index.php/thaijmath/article/view/3099/354354413","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/808","doi":null,"is_oa":true,"landing_page_url":"https://thaijmath.com/index.php/index/article/view/808","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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W7217340596","https://openalex.org/W1581827231","https://openalex.org/W2011728007","https://openalex.org/W2374968333","https://openalex.org/W2108070938","https://openalex.org/W2425142911","https://openalex.org/W2989954549","https://openalex.org/W3164109090","https://openalex.org/W2476275574","https://openalex.org/W4226197130"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3],"propose":[4],"the":[5,26,37,41,48,57,60,63],"new":[6],"forward":[7],"backward":[8],"splitting":[9],"method":[10,18,28,50,62],"for":[11],"solving":[12],"variational":[13],"inequality":[14],"problem.":[15],"The":[16,45],"proposed":[17,49,61],"can":[19],"be":[20],"viewed":[21],"as":[22],"an":[23],"extension":[24],"of":[25,47,59],"extragradient":[27],"by":[29],"additional":[30],"projection":[31],"step":[32],"at":[33],"each":[34],"iteration":[35],"under":[36],"relaxed":[38],"condition":[39],"that":[40],"mapping":[42],"is":[43],"pseudomonotone.":[44],"convergence":[46],"has":[51],"been":[52],"proved.":[53],"Moreover,":[54],"to":[55],"show":[56],"effectiveness":[58],"numerical":[64],"experiments":[65],"are":[66],"performed.":[67]},"counts_by_year":[{"year":2021,"cited_by_count":1}],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2018-12-22T00:00:00"}
