{"id":"https://openalex.org/W2977815223","doi":"https://doi.org/10.1007/s40314-019-0955-9","title":"Convergence analysis of projection method for variational inequalities","display_name":"Convergence analysis of projection method for variational inequalities","publication_year":2019,"publication_date":"2019-10-04","ids":{"openalex":"https://openalex.org/W2977815223","doi":"https://doi.org/10.1007/s40314-019-0955-9","mag":"2977815223"},"language":"en","primary_location":{"id":"doi:10.1007/s40314-019-0955-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s40314-019-0955-9","pdf_url":null,"source":{"id":"https://openalex.org/S4210195884","display_name":"Computational and Applied Mathematics","issn_l":"1807-0302","issn":["1807-0302","2238-3603"],"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":"Computational and Applied Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2101.09081","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5022937282","display_name":"Yekini Shehu","orcid":"https://orcid.org/0000-0001-9224-7139"},"institutions":[{"id":"https://openalex.org/I135237710","display_name":"Zhejiang Normal University","ror":"https://ror.org/01vevwk45","country_code":"CN","type":"education","lineage":["https://openalex.org/I135237710"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yekini Shehu","raw_affiliation_strings":["Department of Mathematics, Zhejiang Normal University, Jinhua, 321004, People\u2019s Republic of China","Department of Mathematics, Zhejiang Normal University, Jinhua, 321004, People's Republic of China"],"raw_orcid":"https://orcid.org/0000-0001-9224-7139","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Zhejiang Normal University, Jinhua, 321004, People\u2019s Republic of China","institution_ids":["https://openalex.org/I135237710"]},{"raw_affiliation_string":"Department of Mathematics, Zhejiang Normal University, Jinhua, 321004, People's Republic of China","institution_ids":["https://openalex.org/I135237710"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5004205634","display_name":"Olaniyi S. Iyiola","orcid":"https://orcid.org/0000-0001-9429-4975"},"institutions":[{"id":"https://openalex.org/I36788626","display_name":"California University of Pennsylvania","ror":"https://ror.org/01spssf70","country_code":"US","type":"education","lineage":["https://openalex.org/I36788626"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Olaniyi S. Iyiola","raw_affiliation_strings":["Department of Mathematics, Computer Science and Information Systems, California University of Pennsylvania, PA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Computer Science and Information Systems, California University of Pennsylvania, PA, USA","institution_ids":["https://openalex.org/I36788626"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5050670610","display_name":"Xiaohuan Li","orcid":"https://orcid.org/0000-0001-9097-4236"},"institutions":[{"id":"https://openalex.org/I28813325","display_name":"Civil Aviation University of China","ror":"https://ror.org/03je71k37","country_code":"CN","type":"education","lineage":["https://openalex.org/I28813325"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiao-Huan Li","raw_affiliation_strings":["College of Science, Civil Aviation University of China, Tianjin, 300300, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Science, Civil Aviation University of China, Tianjin, 300300, China","institution_ids":["https://openalex.org/I28813325"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5027393091","display_name":"Qiao\u2010Li Dong","orcid":"https://orcid.org/0000-0001-6765-4437"},"institutions":[{"id":"https://openalex.org/I28813325","display_name":"Civil Aviation University of China","ror":"https://ror.org/03je71k37","country_code":"CN","type":"education","lineage":["https://openalex.org/I28813325"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Qiao-Li Dong","raw_affiliation_strings":["College of Science, Civil Aviation University of China, Tianjin, 300300, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Science, Civil Aviation University of China, Tianjin, 300300, China","institution_ids":["https://openalex.org/I28813325"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5022937282"],"corresponding_institution_ids":["https://openalex.org/I135237710"],"apc_list":null,"apc_paid":null,"fwci":2.9995,"has_fulltext":false,"cited_by_count":25,"citation_normalized_percentile":{"value":0.92287244,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":100},"biblio":{"volume":"38","issue":"4","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9998000264167786,"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":0.9998000264167786,"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/T11205","display_name":"Numerical methods in inverse problems","score":0.9858999848365784,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9843999743461609,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/variational-inequality","display_name":"Variational inequality","score":0.771781325340271},{"id":"https://openalex.org/keywords/extrapolation","display_name":"Extrapolation","score":0.7348840236663818},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7338934540748596},{"id":"https://openalex.org/keywords/hilbert-space","display_name":"Hilbert space","score":0.6923233270645142},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6843923330307007},{"id":"https://openalex.org/keywords/inertial-frame-of-reference","display_name":"Inertial frame of reference","score":0.6501712203025818},{"id":"https://openalex.org/keywords/monotone-polygon","display_name":"Monotone polygon","score":0.6245104670524597},{"id":"https://openalex.org/keywords/projection","display_name":"Projection (relational algebra)","score":0.606575608253479},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.5927895307540894},{"id":"https://openalex.org/keywords/projection-method","display_name":"Projection method","score":0.5207374095916748},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.5192235112190247},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5118891000747681},{"id":"https://openalex.org/keywords/weak-convergence","display_name":"Weak convergence","score":0.506869375705719},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.48018112778663635},{"id":"https://openalex.org/keywords/strongly-monotone","display_name":"Strongly monotone","score":0.4192039370536804},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3143283724784851},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3120063543319702},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.22043469548225403},{"id":"https://openalex.org/keywords/dykstras-projection-algorithm","display_name":"Dykstra's projection algorithm","score":0.16366371512413025},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.15374869108200073},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.06565934419631958}],"concepts":[{"id":"https://openalex.org/C161999928","wikidata":"https://www.wikidata.org/wiki/Q4556320","display_name":"Variational inequality","level":2,"score":0.771781325340271},{"id":"https://openalex.org/C132459708","wikidata":"https://www.wikidata.org/wiki/Q744069","display_name":"Extrapolation","level":2,"score":0.7348840236663818},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7338934540748596},{"id":"https://openalex.org/C62799726","wikidata":"https://www.wikidata.org/wiki/Q190056","display_name":"Hilbert space","level":2,"score":0.6923233270645142},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6843923330307007},{"id":"https://openalex.org/C173386949","wikidata":"https://www.wikidata.org/wiki/Q192735","display_name":"Inertial frame of reference","level":2,"score":0.6501712203025818},{"id":"https://openalex.org/C2834757","wikidata":"https://www.wikidata.org/wiki/Q4925424","display_name":"Monotone polygon","level":2,"score":0.6245104670524597},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.606575608253479},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.5927895307540894},{"id":"https://openalex.org/C65557600","wikidata":"https://www.wikidata.org/wiki/Q7249451","display_name":"Projection method","level":3,"score":0.5207374095916748},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.5192235112190247},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5118891000747681},{"id":"https://openalex.org/C57945734","wikidata":"https://www.wikidata.org/wiki/Q7977941","display_name":"Weak convergence","level":3,"score":0.506869375705719},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.48018112778663635},{"id":"https://openalex.org/C12715386","wikidata":"https://www.wikidata.org/wiki/Q7624691","display_name":"Strongly monotone","level":3,"score":0.4192039370536804},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3143283724784851},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3120063543319702},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.22043469548225403},{"id":"https://openalex.org/C202426404","wikidata":"https://www.wikidata.org/wiki/Q5318686","display_name":"Dykstra's projection algorithm","level":2,"score":0.16366371512413025},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.15374869108200073},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.06565934419631958},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","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/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","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},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s40314-019-0955-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s40314-019-0955-9","pdf_url":null,"source":{"id":"https://openalex.org/S4210195884","display_name":"Computational and Applied Mathematics","issn_l":"1807-0302","issn":["1807-0302","2238-3603"],"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":"Computational and Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2101.09081","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2101.09081","pdf_url":"https://arxiv.org/pdf/2101.09081","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2101.09081","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2101.09081","pdf_url":"https://arxiv.org/pdf/2101.09081","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},"sustainable_development_goals":[{"score":0.4099999964237213,"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":50,"referenced_works":["https://openalex.org/W199410564","https://openalex.org/W205960364","https://openalex.org/W612220516","https://openalex.org/W613392520","https://openalex.org/W1484024929","https://openalex.org/W1516681311","https://openalex.org/W1519983590","https://openalex.org/W1560858410","https://openalex.org/W1837565340","https://openalex.org/W1850691639","https://openalex.org/W1953994949","https://openalex.org/W1970033879","https://openalex.org/W1984481261","https://openalex.org/W1991765628","https://openalex.org/W1994910078","https://openalex.org/W2004326643","https://openalex.org/W2005241777","https://openalex.org/W2015928709","https://openalex.org/W2028739379","https://openalex.org/W2029656726","https://openalex.org/W2029990009","https://openalex.org/W2040359097","https://openalex.org/W2046641376","https://openalex.org/W2048408528","https://openalex.org/W2049895746","https://openalex.org/W2055467852","https://openalex.org/W2062184313","https://openalex.org/W2065121429","https://openalex.org/W2068626491","https://openalex.org/W2069206252","https://openalex.org/W2069356606","https://openalex.org/W2069491950","https://openalex.org/W2078616944","https://openalex.org/W2079728872","https://openalex.org/W2095980290","https://openalex.org/W2100556411","https://openalex.org/W2182726851","https://openalex.org/W2443846959","https://openalex.org/W2466751470","https://openalex.org/W2486484692","https://openalex.org/W2592329460","https://openalex.org/W2595644070","https://openalex.org/W2771822444","https://openalex.org/W2950866122","https://openalex.org/W2989058889","https://openalex.org/W3100706439","https://openalex.org/W3101497372","https://openalex.org/W3123649567","https://openalex.org/W4229650096","https://openalex.org/W4299574914"],"related_works":["https://openalex.org/W2383497899","https://openalex.org/W2011614914","https://openalex.org/W4300843901","https://openalex.org/W1561249172","https://openalex.org/W2951312832","https://openalex.org/W2794072299","https://openalex.org/W2280242407","https://openalex.org/W1816587483","https://openalex.org/W2085771669","https://openalex.org/W2011881806"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":4},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":10},{"year":2020,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
