{"id":"https://openalex.org/W3014179198","doi":"https://doi.org/10.3390/sym12040523","title":"A Self-Adaptive Extra-Gradient Methods for a Family of Pseudomonotone Equilibrium Programming with Application in Different Classes of Variational Inequality Problems","display_name":"A Self-Adaptive Extra-Gradient Methods for a Family of Pseudomonotone Equilibrium Programming with Application in Different Classes of Variational Inequality Problems","publication_year":2020,"publication_date":"2020-04-02","ids":{"openalex":"https://openalex.org/W3014179198","doi":"https://doi.org/10.3390/sym12040523","mag":"3014179198"},"language":"en","primary_location":{"id":"doi:10.3390/sym12040523","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym12040523","pdf_url":"https://www.mdpi.com/2073-8994/12/4/523/pdf?version=1586338333","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2073-8994/12/4/523/pdf?version=1586338333","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5000339436","display_name":"Habib ur Rehman","orcid":"https://orcid.org/0000-0003-2659-8226"},"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":"Habib ur Rehman","raw_affiliation_strings":["KMUTTFixed Point Research Laboratory, KMUTT-Fixed Point Theory and Applications Research Group, SCL 802 Fixed Point Laboratory, Department of Mathematics, Faculty of Science, King Mongkut\u2019s University of Technology Thonburi (KMUTT), 126 Pracha-Uthit Road, Bang Mod, Thrung Khru, Bangkok 10140, Thailand","KMUTTFixed Point Research Laboratory, KMUTT-Fixed Point Theory and Applications Research Group, SCL 802 Fixed Point Laboratory, Department of Mathematics, Faculty of Science, King Mongkut's University of Technology Thonburi (KMUTT), 126 Pracha-Uthit Road, Bang Mod, Thrung Khru, Bangkok 10140, Thailand"],"raw_orcid":"https://orcid.org/0000-0003-2659-8226","affiliations":[{"raw_affiliation_string":"KMUTTFixed Point Research Laboratory, KMUTT-Fixed Point Theory and Applications Research Group, SCL 802 Fixed Point Laboratory, Department of Mathematics, Faculty of Science, King Mongkut\u2019s University of Technology Thonburi (KMUTT), 126 Pracha-Uthit Road, Bang Mod, Thrung Khru, Bangkok 10140, Thailand","institution_ids":["https://openalex.org/I60837268"]},{"raw_affiliation_string":"KMUTTFixed Point Research Laboratory, KMUTT-Fixed Point Theory and Applications Research Group, SCL 802 Fixed Point Laboratory, Department of Mathematics, Faculty of Science, King Mongkut's University of Technology Thonburi (KMUTT), 126 Pracha-Uthit Road, Bang Mod, Thrung Khru, Bangkok 10140, Thailand","institution_ids":["https://openalex.org/I60837268"]}]},{"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/I184693016","display_name":"China Medical University","ror":"https://ror.org/00v408z34","country_code":"TW","type":"education","lineage":["https://openalex.org/I184693016"]},{"id":"https://openalex.org/I4210126829","display_name":"China Medical University Hospital","ror":"https://ror.org/0368s4g32","country_code":"TW","type":"healthcare","lineage":["https://openalex.org/I4210126829"]},{"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","TW"],"is_corresponding":true,"raw_author_name":"Poom Kumam","raw_affiliation_strings":["Center of Excellence in Theoretical and Computational Science (TaCS-CoE), Science Laboratory Building, King Mongkut\u2019s University of Technology Thonburi (KMUTT), 126 Pracha-Uthit Road, Bang Mod, Thrung Khru, Bangkok 10140, Thailand","Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 40402, Taiwan","KMUTTFixed Point Research Laboratory, KMUTT-Fixed Point Theory and Applications Research Group, SCL 802 Fixed Point Laboratory, Department of Mathematics, Faculty of Science, King Mongkut\u2019s University of Technology Thonburi (KMUTT), 126 Pracha-Uthit Road, Bang Mod, Thrung Khru, Bangkok 10140, Thailand","KMUTTFixed Point Research Laboratory, KMUTT-Fixed Point Theory and Applications Research Group, SCL 802 Fixed Point Laboratory, Department of Mathematics, Faculty of Science, King Mongkut's University of Technology Thonburi (KMUTT), 126 Pracha-Uthit Road, Bang Mod, Thrung Khru, Bangkok 10140, Thailand","Center of Excellence in Theoretical and Computational Science (TaCS-CoE), Science Laboratory Building, King Mongkut's University of Technology Thonburi (KMUTT), 126 Pracha-Uthit Road, Bang Mod, Thrung Khru, Bangkok 10140, Thailand"],"raw_orcid":"https://orcid.org/0000-0002-5463-4581","affiliations":[{"raw_affiliation_string":"Center of Excellence in Theoretical and Computational Science (TaCS-CoE), Science Laboratory Building, King Mongkut\u2019s University of Technology Thonburi (KMUTT), 126 Pracha-Uthit Road, Bang Mod, Thrung Khru, Bangkok 10140, Thailand","institution_ids":["https://openalex.org/I60837268"]},{"raw_affiliation_string":"Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 40402, Taiwan","institution_ids":["https://openalex.org/I4210126829","https://openalex.org/I184693016"]},{"raw_affiliation_string":"KMUTTFixed Point Research Laboratory, KMUTT-Fixed Point Theory and Applications Research Group, SCL 802 Fixed Point Laboratory, Department of Mathematics, Faculty of Science, King Mongkut\u2019s University of Technology Thonburi (KMUTT), 126 Pracha-Uthit Road, Bang Mod, Thrung Khru, Bangkok 10140, Thailand","institution_ids":["https://openalex.org/I60837268"]},{"raw_affiliation_string":"KMUTTFixed Point Research Laboratory, KMUTT-Fixed Point Theory and Applications Research Group, SCL 802 Fixed Point Laboratory, Department of Mathematics, Faculty of Science, King Mongkut's University of Technology Thonburi (KMUTT), 126 Pracha-Uthit Road, Bang Mod, Thrung Khru, Bangkok 10140, Thailand","institution_ids":["https://openalex.org/I60837268"]},{"raw_affiliation_string":"Center of Excellence in Theoretical and Computational Science (TaCS-CoE), Science Laboratory Building, King Mongkut's University of Technology Thonburi (KMUTT), 126 Pracha-Uthit Road, Bang Mod, Thrung Khru, Bangkok 10140, Thailand","institution_ids":["https://openalex.org/I60837268"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5087674067","display_name":"Ioannis K. Argyros","orcid":"https://orcid.org/0000-0002-9189-9298"},"institutions":[{"id":"https://openalex.org/I113618177","display_name":"Cameron University","ror":"https://ror.org/00rgv0036","country_code":"US","type":"education","lineage":["https://openalex.org/I113618177"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ioannis K. Argyros","raw_affiliation_strings":["Department of Mathematical Sciences, Cameron University, Lawton, OK 73505, USA"],"raw_orcid":"https://orcid.org/0000-0002-9189-9298","affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, Cameron University, Lawton, OK 73505, USA","institution_ids":["https://openalex.org/I113618177"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5031599777","display_name":"Nasser Aedh Alreshidi","orcid":"https://orcid.org/0000-0003-0666-9269"},"institutions":[{"id":"https://openalex.org/I118590987","display_name":"Northern Border University","ror":"https://ror.org/03j9tzj20","country_code":"SA","type":"education","lineage":["https://openalex.org/I118590987"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"Nasser Aedh Alreshidi","raw_affiliation_strings":["Department of Mathematics, College of Science, Northern Border University, Arar 73222, Saudi Arabia"],"raw_orcid":"https://orcid.org/0000-0003-0666-9269","affiliations":[{"raw_affiliation_string":"Department of Mathematics, College of Science, Northern Border University, Arar 73222, Saudi Arabia","institution_ids":["https://openalex.org/I118590987"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5080047395","display_name":"Wiyada Kumam","orcid":"https://orcid.org/0000-0001-8773-4821"},"institutions":[{"id":"https://openalex.org/I10245363","display_name":"Rajamangala University of Technology","ror":"https://ror.org/051qqcg15","country_code":"TH","type":"education","lineage":["https://openalex.org/I10245363"]}],"countries":["TH"],"is_corresponding":true,"raw_author_name":"Wiyada Kumam","raw_affiliation_strings":["Program in Applied Statistics, Department of Mathematics and Computer Science, Faculty of Science and Technology, Rajamangala University of Technology Thanyaburi, Thanyaburi, Pathumthani 12110, Thailand"],"raw_orcid":"https://orcid.org/0000-0001-8773-4821","affiliations":[{"raw_affiliation_string":"Program in Applied Statistics, Department of Mathematics and Computer Science, Faculty of Science and Technology, Rajamangala University of Technology Thanyaburi, Thanyaburi, Pathumthani 12110, Thailand","institution_ids":["https://openalex.org/I10245363"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5009795414","display_name":"Wachirapong Jirakitpuwapat","orcid":"https://orcid.org/0000-0002-5160-0036"},"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":"Wachirapong Jirakitpuwapat","raw_affiliation_strings":["KMUTTFixed Point Research Laboratory, KMUTT-Fixed Point Theory and Applications Research Group, SCL 802 Fixed Point Laboratory, Department of Mathematics, Faculty of Science, King Mongkut\u2019s University of Technology Thonburi (KMUTT), 126 Pracha-Uthit Road, Bang Mod, Thrung Khru, Bangkok 10140, Thailand","KMUTTFixed Point Research Laboratory, KMUTT-Fixed Point Theory and Applications Research Group, SCL 802 Fixed Point Laboratory, Department of Mathematics, Faculty of Science, King Mongkut's University of Technology Thonburi (KMUTT), 126 Pracha-Uthit Road, Bang Mod, Thrung Khru, Bangkok 10140, Thailand"],"raw_orcid":"https://orcid.org/0000-0002-5160-0036","affiliations":[{"raw_affiliation_string":"KMUTTFixed Point Research Laboratory, KMUTT-Fixed Point Theory and Applications Research Group, SCL 802 Fixed Point Laboratory, Department of Mathematics, Faculty of Science, King Mongkut\u2019s University of Technology Thonburi (KMUTT), 126 Pracha-Uthit Road, Bang Mod, Thrung Khru, Bangkok 10140, Thailand","institution_ids":["https://openalex.org/I60837268"]},{"raw_affiliation_string":"KMUTTFixed Point Research Laboratory, KMUTT-Fixed Point Theory and Applications Research Group, SCL 802 Fixed Point Laboratory, Department of Mathematics, Faculty of Science, King Mongkut's University of Technology Thonburi (KMUTT), 126 Pracha-Uthit Road, Bang Mod, Thrung Khru, Bangkok 10140, Thailand","institution_ids":["https://openalex.org/I60837268"]}]}],"institutions":[],"countries_distinct_count":4,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5036720066","https://openalex.org/A5080047395"],"corresponding_institution_ids":["https://openalex.org/I10245363","https://openalex.org/I184693016","https://openalex.org/I4210126829","https://openalex.org/I60837268"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":2.7693,"has_fulltext":false,"cited_by_count":21,"citation_normalized_percentile":{"value":0.92223593,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"12","issue":"4","first_page":"523","last_page":"523"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9970999956130981,"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/T12709","display_name":"Optimization and Mathematical Programming","score":0.9848999977111816,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/variational-inequality","display_name":"Variational inequality","score":0.6934820413589478},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6580941677093506},{"id":"https://openalex.org/keywords/variable","display_name":"Variable (mathematics)","score":0.6502256989479065},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.560845136642456},{"id":"https://openalex.org/keywords/adaptive-stepsize","display_name":"Adaptive stepsize","score":0.5479916334152222},{"id":"https://openalex.org/keywords/term","display_name":"Term (time)","score":0.519966721534729},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5098789930343628},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4994800090789795},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.47083166241645813},{"id":"https://openalex.org/keywords/convex-function","display_name":"Convex function","score":0.4558985233306885},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.45411112904548645},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.4477149546146393},{"id":"https://openalex.org/keywords/value","display_name":"Value (mathematics)","score":0.4462868571281433},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3330633044242859},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.257234662771225},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.11070072650909424},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.09973970055580139}],"concepts":[{"id":"https://openalex.org/C161999928","wikidata":"https://www.wikidata.org/wiki/Q4556320","display_name":"Variational inequality","level":2,"score":0.6934820413589478},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6580941677093506},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.6502256989479065},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.560845136642456},{"id":"https://openalex.org/C48077252","wikidata":"https://www.wikidata.org/wiki/Q4680766","display_name":"Adaptive stepsize","level":3,"score":0.5479916334152222},{"id":"https://openalex.org/C61797465","wikidata":"https://www.wikidata.org/wiki/Q1188986","display_name":"Term (time)","level":2,"score":0.519966721534729},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5098789930343628},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4994800090789795},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.47083166241645813},{"id":"https://openalex.org/C145446738","wikidata":"https://www.wikidata.org/wiki/Q319913","display_name":"Convex function","level":3,"score":0.4558985233306885},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.45411112904548645},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.4477149546146393},{"id":"https://openalex.org/C2776291640","wikidata":"https://www.wikidata.org/wiki/Q2912517","display_name":"Value (mathematics)","level":2,"score":0.4462868571281433},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3330633044242859},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.257234662771225},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.11070072650909424},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.09973970055580139},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","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},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3390/sym12040523","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym12040523","pdf_url":"https://www.mdpi.com/2073-8994/12/4/523/pdf?version=1586338333","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:99ae33cd418a4a8c96503361fff43ca4","is_oa":true,"landing_page_url":"https://doaj.org/article/99ae33cd418a4a8c96503361fff43ca4","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Symmetry, Vol 12, Iss 4, p 523 (2020)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/sym12040523","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym12040523","pdf_url":"https://www.mdpi.com/2073-8994/12/4/523/pdf?version=1586338333","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":50,"referenced_works":["https://openalex.org/W154593720","https://openalex.org/W160566206","https://openalex.org/W199410564","https://openalex.org/W205960364","https://openalex.org/W1519983590","https://openalex.org/W1525424936","https://openalex.org/W1527310132","https://openalex.org/W1547768397","https://openalex.org/W1988720110","https://openalex.org/W1991765628","https://openalex.org/W2003556443","https://openalex.org/W2035458531","https://openalex.org/W2040322280","https://openalex.org/W2045184230","https://openalex.org/W2049477584","https://openalex.org/W2053487511","https://openalex.org/W2056838549","https://openalex.org/W2085346899","https://openalex.org/W2100556411","https://openalex.org/W2116648978","https://openalex.org/W2117464176","https://openalex.org/W2213278820","https://openalex.org/W2266418310","https://openalex.org/W2268813615","https://openalex.org/W2443846959","https://openalex.org/W2516898031","https://openalex.org/W2523954273","https://openalex.org/W2525229864","https://openalex.org/W2592329460","https://openalex.org/W2771822444","https://openalex.org/W2900752387","https://openalex.org/W2923928938","https://openalex.org/W2934581791","https://openalex.org/W2953323691","https://openalex.org/W2954960010","https://openalex.org/W2988348752","https://openalex.org/W3009301089","https://openalex.org/W3009629631","https://openalex.org/W3012129038","https://openalex.org/W3099045797","https://openalex.org/W3139542054","https://openalex.org/W3152496325","https://openalex.org/W4229650096","https://openalex.org/W4233832035","https://openalex.org/W4243830201","https://openalex.org/W6606292158","https://openalex.org/W6606531350","https://openalex.org/W6631077220","https://openalex.org/W6692973537","https://openalex.org/W7075577455"],"related_works":["https://openalex.org/W2909053289","https://openalex.org/W829267240","https://openalex.org/W1154119719","https://openalex.org/W3131922696","https://openalex.org/W2104243281","https://openalex.org/W2946037075","https://openalex.org/W2755725405","https://openalex.org/W1967850176","https://openalex.org/W2363155086","https://openalex.org/W4387635768"],"abstract_inverted_index":{"The":[0,46,74,87],"main":[1],"objective":[2],"of":[3,34,53,108,125],"this":[4],"article":[5],"is":[6,48,60,77,90],"to":[7,79],"propose":[8],"a":[9,43,116],"new":[10],"method":[11,17,37,47],"that":[12,105],"would":[13],"extend":[14],"Popov\u2019s":[15],"extragradient":[16],"by":[18,38],"changing":[19],"two":[20,24],"natural":[21],"projections":[22],"with":[23],"convex":[25],"optimization":[26],"problems.":[27],"We":[28],"also":[29],"show":[30],"the":[31,54,67,97,106,109,120],"weak":[32],"convergence":[33],"our":[35],"designed":[36],"taking":[39],"mild":[40],"assumptions":[41],"on":[42,96],"cost":[44],"bifunction.":[45],"evaluating":[49],"only":[50],"one":[51],"value":[52],"bifunction":[55],"per":[56],"iteration":[57,94],"and":[58,112,123],"it":[59],"uses":[61],"an":[62],"explicit":[63],"formula":[64],"for":[65,71,82,92],"identifying":[66],"appropriate":[68],"stepsize":[69,76,89,114],"parameter":[70],"each":[72,93],"iteration.":[73],"variable":[75,88,113],"going":[78],"be":[80],"effective":[81],"enhancing":[83],"iterative":[84],"algorithm":[85],"performance.":[86],"updating":[91],"based":[95],"previous":[98],"iterations.":[99,126],"After":[100],"numerical":[101],"examples,":[102],"we":[103],"conclude":[104],"effect":[107],"inertial":[110],"term":[111],"has":[115],"significant":[117],"improvement":[118],"over":[119],"processing":[121],"time":[122],"number":[124]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":12}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}