{"id":"https://openalex.org/W2790649279","doi":"https://doi.org/10.1007/s10957-018-1228-2","title":"A New Double-Projection Method for Solving Variational Inequalities in Banach Spaces","display_name":"A New Double-Projection Method for Solving Variational Inequalities in Banach Spaces","publication_year":2018,"publication_date":"2018-03-01","ids":{"openalex":"https://openalex.org/W2790649279","doi":"https://doi.org/10.1007/s10957-018-1228-2","mag":"2790649279"},"language":"en","primary_location":{"id":"doi:10.1007/s10957-018-1228-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10957-018-1228-2","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/A5090155610","display_name":"Gang Cai","orcid":"https://orcid.org/0000-0002-0659-0203"},"institutions":[{"id":"https://openalex.org/I126924076","display_name":"Chongqing Normal University","ror":"https://ror.org/01dcw5w74","country_code":"CN","type":"education","lineage":["https://openalex.org/I126924076"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Gang Cai","raw_affiliation_strings":["School of Mathematics Science, Chongqing Normal University, Chongqing, 401331, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics Science, Chongqing Normal University, Chongqing, 401331, China","institution_ids":["https://openalex.org/I126924076"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5087852344","display_name":"Aviv Gibali","orcid":"https://orcid.org/0000-0002-2150-553X"},"institutions":[{"id":"https://openalex.org/I231622532","display_name":"Braude College of Engineering Karmiel","ror":"https://ror.org/004af2v94","country_code":"IL","type":"education","lineage":["https://openalex.org/I231622532"]}],"countries":["IL"],"is_corresponding":true,"raw_author_name":"Aviv Gibali","raw_affiliation_strings":["Department of Mathematics, ORT Braude College, 2161002, Karmiel, Israel"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, ORT Braude College, 2161002, Karmiel, Israel","institution_ids":["https://openalex.org/I231622532"]}]},{"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/I43579087","display_name":"University of Wisconsin\u2013Milwaukee","ror":"https://ror.org/031q21x57","country_code":"US","type":"education","lineage":["https://openalex.org/I43579087"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Olaniyi S. Iyiola","raw_affiliation_strings":["Department of Mathematical Sciences, University of Wisconsin-Milwaukee, Milwaukee, WI, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, University of Wisconsin-Milwaukee, Milwaukee, WI, USA","institution_ids":["https://openalex.org/I43579087"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5022937282","display_name":"Yekini Shehu","orcid":"https://orcid.org/0000-0001-9224-7139"},"institutions":[{"id":"https://openalex.org/I11892038","display_name":"University of Nigeria","ror":"https://ror.org/01sn1yx84","country_code":"NG","type":"education","lineage":["https://openalex.org/I11892038"]}],"countries":["NG"],"is_corresponding":false,"raw_author_name":"Yekini Shehu","raw_affiliation_strings":["Department of Mathematics, University of Nigeria, Nsukka, Nigeria"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Nigeria, Nsukka, Nigeria","institution_ids":["https://openalex.org/I11892038"]}]}],"institutions":[],"countries_distinct_count":4,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5087852344"],"corresponding_institution_ids":["https://openalex.org/I231622532"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":5.3428,"has_fulltext":false,"cited_by_count":52,"citation_normalized_percentile":{"value":0.9632317,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"178","issue":"1","first_page":"219","last_page":"239"},"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":0.989300012588501,"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/T11115","display_name":"Topology Optimization in Engineering","score":0.9890000224113464,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural 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/mathematics","display_name":"Mathematics","score":0.8673523664474487},{"id":"https://openalex.org/keywords/banach-space","display_name":"Banach space","score":0.7100105285644531},{"id":"https://openalex.org/keywords/subgradient-method","display_name":"Subgradient method","score":0.7027504444122314},{"id":"https://openalex.org/keywords/variational-inequality","display_name":"Variational inequality","score":0.6989932060241699},{"id":"https://openalex.org/keywords/lipschitz-continuity","display_name":"Lipschitz continuity","score":0.6430491209030151},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.6234650611877441},{"id":"https://openalex.org/keywords/hilbert-space","display_name":"Hilbert space","score":0.6139519214630127},{"id":"https://openalex.org/keywords/monotone-polygon","display_name":"Monotone polygon","score":0.6015240550041199},{"id":"https://openalex.org/keywords/banach-manifold","display_name":"Banach manifold","score":0.4948863387107849},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.4943246841430664},{"id":"https://openalex.org/keywords/weak-convergence","display_name":"Weak convergence","score":0.44550856947898865},{"id":"https://openalex.org/keywords/lp-space","display_name":"Lp space","score":0.43855929374694824},{"id":"https://openalex.org/keywords/uniformly-convex-space","display_name":"Uniformly convex space","score":0.43387535214424133},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3882134258747101},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.35532039403915405},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.25719040632247925},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.16722679138183594},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.09461742639541626}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8673523664474487},{"id":"https://openalex.org/C132954091","wikidata":"https://www.wikidata.org/wiki/Q194397","display_name":"Banach space","level":2,"score":0.7100105285644531},{"id":"https://openalex.org/C158968445","wikidata":"https://www.wikidata.org/wiki/Q7631150","display_name":"Subgradient method","level":2,"score":0.7027504444122314},{"id":"https://openalex.org/C161999928","wikidata":"https://www.wikidata.org/wiki/Q4556320","display_name":"Variational inequality","level":2,"score":0.6989932060241699},{"id":"https://openalex.org/C22324862","wikidata":"https://www.wikidata.org/wiki/Q652707","display_name":"Lipschitz continuity","level":2,"score":0.6430491209030151},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.6234650611877441},{"id":"https://openalex.org/C62799726","wikidata":"https://www.wikidata.org/wiki/Q190056","display_name":"Hilbert space","level":2,"score":0.6139519214630127},{"id":"https://openalex.org/C2834757","wikidata":"https://www.wikidata.org/wiki/Q4925424","display_name":"Monotone polygon","level":2,"score":0.6015240550041199},{"id":"https://openalex.org/C165593952","wikidata":"https://www.wikidata.org/wiki/Q3554819","display_name":"Banach manifold","level":4,"score":0.4948863387107849},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.4943246841430664},{"id":"https://openalex.org/C57945734","wikidata":"https://www.wikidata.org/wiki/Q7977941","display_name":"Weak convergence","level":3,"score":0.44550856947898865},{"id":"https://openalex.org/C172294467","wikidata":"https://www.wikidata.org/wiki/Q305936","display_name":"Lp space","level":3,"score":0.43855929374694824},{"id":"https://openalex.org/C123413131","wikidata":"https://www.wikidata.org/wiki/Q847535","display_name":"Uniformly convex space","level":5,"score":0.43387535214424133},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3882134258747101},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.35532039403915405},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.25719040632247925},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.16722679138183594},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.09461742639541626},{"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},{"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/C76178495","wikidata":"https://www.wikidata.org/wiki/Q4808784","display_name":"Asset (computer security)","level":2,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10957-018-1228-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10957-018-1228-2","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:178:y:2018:i:1:d:10.1007_s10957-018-1228-2","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s10957-018-1228-2","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":0.6100000143051147}],"awards":[{"id":"https://openalex.org/G5672547928","display_name":null,"funder_award_id":"11771063","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6874482717","display_name":null,"funder_award_id":"cstc2017jcyjAX0006","funder_id":"https://openalex.org/F4320323172","funder_display_name":"Natural Science Foundation of Chongqing"}],"funders":[{"id":"https://openalex.org/F4320308269","display_name":"Alexander von Humboldt-Stiftung","ror":"https://ror.org/012kf4317"},{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320323172","display_name":"Natural Science Foundation of Chongqing","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":37,"referenced_works":["https://openalex.org/W612220516","https://openalex.org/W613392520","https://openalex.org/W1484024929","https://openalex.org/W1516681311","https://openalex.org/W1519983590","https://openalex.org/W1521379649","https://openalex.org/W1543439990","https://openalex.org/W1561297735","https://openalex.org/W1953994949","https://openalex.org/W1963961606","https://openalex.org/W1991765628","https://openalex.org/W1994910078","https://openalex.org/W1998544309","https://openalex.org/W2004318681","https://openalex.org/W2004326643","https://openalex.org/W2015928709","https://openalex.org/W2020600211","https://openalex.org/W2027068897","https://openalex.org/W2029656726","https://openalex.org/W2045554006","https://openalex.org/W2047605837","https://openalex.org/W2049895746","https://openalex.org/W2065121429","https://openalex.org/W2067100748","https://openalex.org/W2069356606","https://openalex.org/W2070694134","https://openalex.org/W2093189121","https://openalex.org/W2099681657","https://openalex.org/W2109154566","https://openalex.org/W2134851358","https://openalex.org/W2155583876","https://openalex.org/W2159000243","https://openalex.org/W2443846959","https://openalex.org/W2595644070","https://openalex.org/W2963070475","https://openalex.org/W2989058889","https://openalex.org/W4291439952"],"related_works":["https://openalex.org/W3027831860","https://openalex.org/W2964132179","https://openalex.org/W2078553057","https://openalex.org/W4249122261","https://openalex.org/W3100017273","https://openalex.org/W115870055","https://openalex.org/W3158552122","https://openalex.org/W1961950596","https://openalex.org/W233199001","https://openalex.org/W2989751538"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":12},{"year":2021,"cited_by_count":12},{"year":2020,"cited_by_count":7},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":2}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}
