{"id":"https://openalex.org/W3014888503","doi":"https://doi.org/10.3390/sym12040503","title":"Inertial Extra-Gradient Method for Solving a Family of Strongly Pseudomonotone Equilibrium Problems in Real Hilbert Spaces with Application in Variational Inequality Problem","display_name":"Inertial Extra-Gradient Method for Solving a Family of Strongly Pseudomonotone Equilibrium Problems in Real Hilbert Spaces with Application in Variational Inequality Problem","publication_year":2020,"publication_date":"2020-04-01","ids":{"openalex":"https://openalex.org/W3014888503","doi":"https://doi.org/10.3390/sym12040503","mag":"3014888503"},"language":"en","primary_location":{"id":"doi:10.3390/sym12040503","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym12040503","pdf_url":"https://www.mdpi.com/2073-8994/12/4/503/pdf","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/2073-8994/12/4/503/pdf","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"],"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","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","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"],"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":"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"]},{"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/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"],"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/A5085896504","display_name":"Wejdan Deebani","orcid":"https://orcid.org/0000-0001-5022-2558"},"institutions":[{"id":"https://openalex.org/I185163786","display_name":"King Abdulaziz University","ror":"https://ror.org/02ma4wv74","country_code":"SA","type":"education","lineage":["https://openalex.org/I185163786"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"Wejdan Deebani","raw_affiliation_strings":["Department of Mathematics, College of Science and Arts, King Abdulaziz University, P.O. Box 344, Rabigh 21911, Saudi Arabia"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, College of Science and Arts, King Abdulaziz University, P.O. Box 344, Rabigh 21911, Saudi Arabia","institution_ids":["https://openalex.org/I185163786"]}]},{"author_position":"last","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"],"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"]}]}],"institutions":[],"countries_distinct_count":4,"institutions_distinct_count":5,"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":5.202,"has_fulltext":true,"cited_by_count":37,"citation_normalized_percentile":{"value":0.96276596,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":91,"max":99},"biblio":{"volume":"12","issue":"4","first_page":"503","last_page":"503"},"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":0.995199978351593,"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":0.9638000130653381,"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/variational-inequality","display_name":"Variational inequality","score":0.7942123413085938},{"id":"https://openalex.org/keywords/lipschitz-continuity","display_name":"Lipschitz continuity","score":0.7009879350662231},{"id":"https://openalex.org/keywords/inertial-frame-of-reference","display_name":"Inertial frame of reference","score":0.6868432760238647},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.6792850494384766},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6568650603294373},{"id":"https://openalex.org/keywords/hilbert-space","display_name":"Hilbert space","score":0.5875934958457947},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5339093804359436},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4800642430782318},{"id":"https://openalex.org/keywords/weak-convergence","display_name":"Weak convergence","score":0.4410545825958252},{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.4197278618812561},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.419445663690567},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.35218286514282227},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.34699711203575134},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09508070349693298},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.06961190700531006},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.06284934282302856}],"concepts":[{"id":"https://openalex.org/C161999928","wikidata":"https://www.wikidata.org/wiki/Q4556320","display_name":"Variational inequality","level":2,"score":0.7942123413085938},{"id":"https://openalex.org/C22324862","wikidata":"https://www.wikidata.org/wiki/Q652707","display_name":"Lipschitz continuity","level":2,"score":0.7009879350662231},{"id":"https://openalex.org/C173386949","wikidata":"https://www.wikidata.org/wiki/Q192735","display_name":"Inertial frame of reference","level":2,"score":0.6868432760238647},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.6792850494384766},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6568650603294373},{"id":"https://openalex.org/C62799726","wikidata":"https://www.wikidata.org/wiki/Q190056","display_name":"Hilbert space","level":2,"score":0.5875934958457947},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5339093804359436},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4800642430782318},{"id":"https://openalex.org/C57945734","wikidata":"https://www.wikidata.org/wiki/Q7977941","display_name":"Weak convergence","level":3,"score":0.4410545825958252},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.4197278618812561},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.419445663690567},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.35218286514282227},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.34699711203575134},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09508070349693298},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.06961190700531006},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.06284934282302856},{"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/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","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/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"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/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3390/sym12040503","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym12040503","pdf_url":"https://www.mdpi.com/2073-8994/12/4/503/pdf","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:dbf91c4d79f44726ab0323f551e3bf75","is_oa":true,"landing_page_url":"https://doaj.org/article/dbf91c4d79f44726ab0323f551e3bf75","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":"Symmetry, Vol 12, Iss 4, p 503 (2020)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/sym12040503","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym12040503","pdf_url":"https://www.mdpi.com/2073-8994/12/4/503/pdf","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":[{"id":"https://openalex.org/G212836140","display_name":null,"funder_award_id":"Grant No. NSF62D0604","funder_id":"https://openalex.org/F4320326420","funder_display_name":"Rajamangala University of Technology Thanyaburi"},{"id":"https://openalex.org/G5921281487","display_name":null,"funder_award_id":"number","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G6977085770","display_name":null,"funder_award_id":"NSF62D0604","funder_id":"https://openalex.org/F4320326420","funder_display_name":"Rajamangala University of Technology Thanyaburi"},{"id":"https://openalex.org/G7187272532","display_name":null,"funder_award_id":"39/2560","funder_id":"https://openalex.org/F4320322818","funder_display_name":"King Mongkut's University of Technology Thonburi"},{"id":"https://openalex.org/G848032724","display_name":null,"funder_award_id":"Science","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320322818","display_name":"King Mongkut's University of Technology Thonburi","ror":"https://ror.org/0057ax056"},{"id":"https://openalex.org/F4320326420","display_name":"Rajamangala University of Technology Thanyaburi","ror":"https://ror.org/051qqcg15"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3014888503.pdf","grobid_xml":"https://content.openalex.org/works/W3014888503.grobid-xml"},"referenced_works_count":49,"referenced_works":["https://openalex.org/W154593720","https://openalex.org/W205960364","https://openalex.org/W1525424936","https://openalex.org/W1547768397","https://openalex.org/W1986210113","https://openalex.org/W1988720110","https://openalex.org/W2003556443","https://openalex.org/W2007269342","https://openalex.org/W2035458531","https://openalex.org/W2038497950","https://openalex.org/W2040322280","https://openalex.org/W2049477584","https://openalex.org/W2056838549","https://openalex.org/W2085346899","https://openalex.org/W2086254189","https://openalex.org/W2100556411","https://openalex.org/W2125913552","https://openalex.org/W2128234186","https://openalex.org/W2214185247","https://openalex.org/W2266418310","https://openalex.org/W2268813615","https://openalex.org/W2443846959","https://openalex.org/W2480005094","https://openalex.org/W2516898031","https://openalex.org/W2525229864","https://openalex.org/W2543381247","https://openalex.org/W2588272582","https://openalex.org/W2592329460","https://openalex.org/W2617528445","https://openalex.org/W2771822444","https://openalex.org/W2785428974","https://openalex.org/W2885277207","https://openalex.org/W2949322426","https://openalex.org/W2954960010","https://openalex.org/W2956985265","https://openalex.org/W2988348752","https://openalex.org/W3009301089","https://openalex.org/W3009629631","https://openalex.org/W3012129038","https://openalex.org/W3139542054","https://openalex.org/W4229650096","https://openalex.org/W4233832035","https://openalex.org/W4285719527","https://openalex.org/W6606292158","https://openalex.org/W6692973537","https://openalex.org/W6721750821","https://openalex.org/W6729248337","https://openalex.org/W6747786763","https://openalex.org/W7075577455"],"related_works":["https://openalex.org/W2053463107","https://openalex.org/W1991765628","https://openalex.org/W2055132062","https://openalex.org/W2330072811","https://openalex.org/W1987269275","https://openalex.org/W4221091651","https://openalex.org/W2381443067","https://openalex.org/W2121115887","https://openalex.org/W2058725647","https://openalex.org/W2011881806"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3,95,108],"propose":[4],"a":[5,23,34,39,44,70,82,97,118],"new":[6],"method,":[7],"which":[8],"is":[9,50,60,76],"set":[10],"up":[11],"by":[12],"incorporating":[13],"an":[14,57],"inertial":[15],"step":[16],"with":[17,33,81],"the":[18,66,78,112,123,126],"extragradient":[19],"method":[20,29,79,114],"for":[21],"solving":[22],"strongly":[24,35],"pseudomonotone":[25,36],"equilibrium":[26,99],"problems.":[27],"This":[28],"had":[30],"to":[31,88,101,116],"comply":[32],"property":[37],"and":[38,56,90,107],"certain":[40],"Lipschitz-type":[41,67],"condition":[42],"of":[43,65,69,125],"bifunction.":[45,72],"A":[46,73],"strong":[47],"convergence":[48,105],"result":[49],"provided":[51],"under":[52],"some":[53],"mild":[54],"conditions,":[55],"iterative":[58],"sequence":[59,85],"accomplished":[61],"without":[62],"previous":[63],"knowledge":[64],"constants":[68],"cost":[71],"sufficient":[74],"explanation":[75],"that":[77,86,111],"operates":[80],"slow-moving":[83],"stepsize":[84],"converges":[87],"zero":[89],"non-summable.":[91],"For":[92],"numerical":[93],"explanations,":[94],"analyze":[96],"well-known":[98],"model":[100],"support":[102],"our":[103],"well-established":[104],"result,":[106],"can":[109],"see":[110],"proposed":[113],"seems":[115],"have":[117],"significant":[119],"consistent":[120],"improvement":[121],"over":[122],"performance":[124],"existing":[127],"methods.":[128]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":8},{"year":2021,"cited_by_count":11},{"year":2020,"cited_by_count":15}],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}
