{"id":"https://openalex.org/W3025469946","doi":"https://doi.org/10.1007/s10957-020-01672-3","title":"A Strong Convergence Theorem for Solving Pseudo-monotone Variational Inequalities Using Projection Methods","display_name":"A Strong Convergence Theorem for Solving Pseudo-monotone Variational Inequalities Using Projection Methods","publication_year":2020,"publication_date":"2020-05-12","ids":{"openalex":"https://openalex.org/W3025469946","doi":"https://doi.org/10.1007/s10957-020-01672-3","mag":"3025469946"},"language":"en","primary_location":{"id":"doi:10.1007/s10957-020-01672-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10957-020-01672-3","pdf_url":null,"source":{"id":"https://openalex.org/S52430896","display_name":"Journal of Optimization Theory and Applications","issn_l":"0022-3239","issn":["0022-3239","1573-2878"],"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 Optimization Theory and Applications","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/A5014789301","display_name":"Lateef Olakunle Jolaoso","orcid":"https://orcid.org/0000-0002-4838-7465"},"institutions":[{"id":"https://openalex.org/I95023434","display_name":"University of KwaZulu-Natal","ror":"https://ror.org/04qzfn040","country_code":"ZA","type":"education","lineage":["https://openalex.org/I95023434"]}],"countries":["ZA"],"is_corresponding":true,"raw_author_name":"Lateef Olakunle Jolaoso","raw_affiliation_strings":["School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Durban, South Africa"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Durban, South Africa","institution_ids":["https://openalex.org/I95023434"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5084271275","display_name":"Adeolu Taiwo","orcid":"https://orcid.org/0000-0001-5939-935X"},"institutions":[{"id":"https://openalex.org/I95023434","display_name":"University of KwaZulu-Natal","ror":"https://ror.org/04qzfn040","country_code":"ZA","type":"education","lineage":["https://openalex.org/I95023434"]}],"countries":["ZA"],"is_corresponding":false,"raw_author_name":"Adeolu Taiwo","raw_affiliation_strings":["School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Durban, South Africa"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Durban, South Africa","institution_ids":["https://openalex.org/I95023434"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5050229914","display_name":"Timilehin Opeyemi Alakoya","orcid":"https://orcid.org/0000-0003-1914-5835"},"institutions":[{"id":"https://openalex.org/I95023434","display_name":"University of KwaZulu-Natal","ror":"https://ror.org/04qzfn040","country_code":"ZA","type":"education","lineage":["https://openalex.org/I95023434"]}],"countries":["ZA"],"is_corresponding":false,"raw_author_name":"Timilehin Opeyemi Alakoya","raw_affiliation_strings":["School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Durban, South Africa"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Durban, South Africa","institution_ids":["https://openalex.org/I95023434"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5062323142","display_name":"Oluwatosin Temitope Mewomo","orcid":"https://orcid.org/0000-0003-0389-7469"},"institutions":[{"id":"https://openalex.org/I95023434","display_name":"University of KwaZulu-Natal","ror":"https://ror.org/04qzfn040","country_code":"ZA","type":"education","lineage":["https://openalex.org/I95023434"]}],"countries":["ZA"],"is_corresponding":false,"raw_author_name":"Oluwatosin Temitope Mewomo","raw_affiliation_strings":["School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Durban, South Africa"],"raw_orcid":"https://orcid.org/0000-0003-0389-7469","affiliations":[{"raw_affiliation_string":"School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Durban, South Africa","institution_ids":["https://openalex.org/I95023434"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5014789301"],"corresponding_institution_ids":["https://openalex.org/I95023434"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":10.6941,"has_fulltext":false,"cited_by_count":80,"citation_normalized_percentile":{"value":0.98620483,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":100},"biblio":{"volume":"185","issue":"3","first_page":"744","last_page":"766"},"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":0.9878000020980835,"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/T12809","display_name":"Contact Mechanics and Variational Inequalities","score":0.9833999872207642,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8804419636726379},{"id":"https://openalex.org/keywords/variational-inequality","display_name":"Variational inequality","score":0.8172019720077515},{"id":"https://openalex.org/keywords/lipschitz-continuity","display_name":"Lipschitz continuity","score":0.7808548212051392},{"id":"https://openalex.org/keywords/monotone-polygon","display_name":"Monotone polygon","score":0.7020919919013977},{"id":"https://openalex.org/keywords/hilbert-space","display_name":"Hilbert space","score":0.7016857266426086},{"id":"https://openalex.org/keywords/banach-space","display_name":"Banach space","score":0.6843301057815552},{"id":"https://openalex.org/keywords/pseudo-monotone-operator","display_name":"Pseudo-monotone operator","score":0.6705671548843384},{"id":"https://openalex.org/keywords/strongly-monotone","display_name":"Strongly monotone","score":0.5483168363571167},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.5432326793670654},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.49395138025283813},{"id":"https://openalex.org/keywords/projection","display_name":"Projection (relational algebra)","score":0.4801841974258423},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.4801454246044159},{"id":"https://openalex.org/keywords/projection-method","display_name":"Projection method","score":0.4432758688926697},{"id":"https://openalex.org/keywords/monotonic-function","display_name":"Monotonic function","score":0.43985965847969055},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.36330974102020264},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3479781746864319},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.2675032913684845},{"id":"https://openalex.org/keywords/dykstras-projection-algorithm","display_name":"Dykstra's projection algorithm","score":0.22803089022636414},{"id":"https://openalex.org/keywords/finite-rank-operator","display_name":"Finite-rank operator","score":0.20904457569122314},{"id":"https://openalex.org/keywords/operator-space","display_name":"Operator space","score":0.15801545977592468},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.11205020546913147}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8804419636726379},{"id":"https://openalex.org/C161999928","wikidata":"https://www.wikidata.org/wiki/Q4556320","display_name":"Variational inequality","level":2,"score":0.8172019720077515},{"id":"https://openalex.org/C22324862","wikidata":"https://www.wikidata.org/wiki/Q652707","display_name":"Lipschitz continuity","level":2,"score":0.7808548212051392},{"id":"https://openalex.org/C2834757","wikidata":"https://www.wikidata.org/wiki/Q4925424","display_name":"Monotone polygon","level":2,"score":0.7020919919013977},{"id":"https://openalex.org/C62799726","wikidata":"https://www.wikidata.org/wiki/Q190056","display_name":"Hilbert space","level":2,"score":0.7016857266426086},{"id":"https://openalex.org/C132954091","wikidata":"https://www.wikidata.org/wiki/Q194397","display_name":"Banach space","level":2,"score":0.6843301057815552},{"id":"https://openalex.org/C201040074","wikidata":"https://www.wikidata.org/wiki/Q7254436","display_name":"Pseudo-monotone operator","level":5,"score":0.6705671548843384},{"id":"https://openalex.org/C12715386","wikidata":"https://www.wikidata.org/wiki/Q7624691","display_name":"Strongly monotone","level":3,"score":0.5483168363571167},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.5432326793670654},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.49395138025283813},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.4801841974258423},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.4801454246044159},{"id":"https://openalex.org/C65557600","wikidata":"https://www.wikidata.org/wiki/Q7249451","display_name":"Projection method","level":3,"score":0.4432758688926697},{"id":"https://openalex.org/C72169020","wikidata":"https://www.wikidata.org/wiki/Q194404","display_name":"Monotonic function","level":2,"score":0.43985965847969055},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.36330974102020264},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3479781746864319},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.2675032913684845},{"id":"https://openalex.org/C202426404","wikidata":"https://www.wikidata.org/wiki/Q5318686","display_name":"Dykstra's projection algorithm","level":2,"score":0.22803089022636414},{"id":"https://openalex.org/C99392333","wikidata":"https://www.wikidata.org/wiki/Q5450385","display_name":"Finite-rank operator","level":3,"score":0.20904457569122314},{"id":"https://openalex.org/C176691602","wikidata":"https://www.wikidata.org/wiki/Q7097841","display_name":"Operator space","level":4,"score":0.15801545977592468},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.11205020546913147},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10957-020-01672-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10957-020-01672-3","pdf_url":null,"source":{"id":"https://openalex.org/S52430896","display_name":"Journal of Optimization Theory and Applications","issn_l":"0022-3239","issn":["0022-3239","1573-2878"],"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 Optimization Theory and Applications","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:spr:joptap:v:185:y:2020:i:3:d:10.1007_s10957-020-01672-3","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s10957-020-01672-3","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":[{"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities","score":0.6399999856948853}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":53,"referenced_works":["https://openalex.org/W587632089","https://openalex.org/W614467277","https://openalex.org/W1123046575","https://openalex.org/W1516681311","https://openalex.org/W1519983590","https://openalex.org/W1565268343","https://openalex.org/W1969867455","https://openalex.org/W1991765628","https://openalex.org/W1998544309","https://openalex.org/W1998554359","https://openalex.org/W2015928709","https://openalex.org/W2018094386","https://openalex.org/W2018709408","https://openalex.org/W2020600211","https://openalex.org/W2028348765","https://openalex.org/W2032760947","https://openalex.org/W2040359097","https://openalex.org/W2047605837","https://openalex.org/W2048685143","https://openalex.org/W2049895746","https://openalex.org/W2057504838","https://openalex.org/W2063647982","https://openalex.org/W2067313264","https://openalex.org/W2067387193","https://openalex.org/W2077607486","https://openalex.org/W2094548886","https://openalex.org/W2099681657","https://openalex.org/W2132528752","https://openalex.org/W2134851358","https://openalex.org/W2154156163","https://openalex.org/W2155583876","https://openalex.org/W2182726851","https://openalex.org/W2502261143","https://openalex.org/W2561813566","https://openalex.org/W2787184790","https://openalex.org/W2790371392","https://openalex.org/W2790649279","https://openalex.org/W2792512885","https://openalex.org/W2807268195","https://openalex.org/W2892065345","https://openalex.org/W2929668395","https://openalex.org/W2932913597","https://openalex.org/W2937005841","https://openalex.org/W2947374711","https://openalex.org/W2964450710","https://openalex.org/W2990091802","https://openalex.org/W3100742030","https://openalex.org/W3122244759","https://openalex.org/W4231269780","https://openalex.org/W4232551704","https://openalex.org/W4245503300","https://openalex.org/W4250776562","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W3131922696","https://openalex.org/W4229662703","https://openalex.org/W2011614914","https://openalex.org/W2033468445","https://openalex.org/W43918835","https://openalex.org/W4324027757","https://openalex.org/W1561249172","https://openalex.org/W2787184790","https://openalex.org/W2093863472","https://openalex.org/W2083131310"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":9},{"year":2022,"cited_by_count":16},{"year":2021,"cited_by_count":35},{"year":2020,"cited_by_count":14}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
