{"id":"https://openalex.org/W2962762987","doi":"https://doi.org/10.1007/s11075-017-0467-x","title":"A modified subgradient extragradient method for solving the variational inequality problem","display_name":"A modified subgradient extragradient method for solving the variational inequality problem","publication_year":2018,"publication_date":"2018-01-05","ids":{"openalex":"https://openalex.org/W2962762987","doi":"https://doi.org/10.1007/s11075-017-0467-x","mag":"2962762987"},"language":"en","primary_location":{"id":"doi:10.1007/s11075-017-0467-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-017-0467-x","pdf_url":null,"source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"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":"Numerical Algorithms","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/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":true,"raw_author_name":"Qiao-Li Dong","raw_affiliation_strings":["Tianjin Key Laboratory for Advanced Signal Processing and College of Science, Civil Aviation University of China, Tianjin, 300300, China"],"raw_orcid":"https://orcid.org/0000-0001-6765-4437","affiliations":[{"raw_affiliation_string":"Tianjin Key Laboratory for Advanced Signal Processing and College of Science, Civil Aviation University of China, Tianjin, 300300, China","institution_ids":["https://openalex.org/I28813325"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5043772825","display_name":"Dan Jiang","orcid":"https://orcid.org/0000-0002-8899-6425"},"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":"Dan Jiang","raw_affiliation_strings":["Tianjin Key Laboratory for Advanced Signal Processing and College of Science, Civil Aviation University of China, Tianjin, 300300, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Tianjin Key Laboratory for Advanced Signal Processing and 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/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":false,"raw_author_name":"Aviv Gibali","raw_affiliation_strings":["Department of Mathematics, ORT Braude College, 2161002, Karmiel, Israel"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, ORT Braude College, 2161002, Karmiel, Israel","institution_ids":["https://openalex.org/I231622532"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5027393091"],"corresponding_institution_ids":["https://openalex.org/I28813325"],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":null,"fwci":6.2608,"has_fulltext":false,"cited_by_count":81,"citation_normalized_percentile":{"value":0.97211155,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":100},"biblio":{"volume":"79","issue":"3","first_page":"927","last_page":"940"},"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9950000047683716,"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":0.9851999878883362,"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/subgradient-method","display_name":"Subgradient method","score":0.9950425624847412},{"id":"https://openalex.org/keywords/variational-inequality","display_name":"Variational inequality","score":0.9268112778663635},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7844473123550415},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.7477657794952393},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.7090820670127869},{"id":"https://openalex.org/keywords/projection","display_name":"Projection (relational algebra)","score":0.586849570274353},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5778452754020691},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.460096538066864},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.44118624925613403},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.4254147708415985},{"id":"https://openalex.org/keywords/projection-method","display_name":"Projection method","score":0.41123831272125244},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2904593348503113},{"id":"https://openalex.org/keywords/dykstras-projection-algorithm","display_name":"Dykstra's projection algorithm","score":0.23248010873794556},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.19124314188957214}],"concepts":[{"id":"https://openalex.org/C158968445","wikidata":"https://www.wikidata.org/wiki/Q7631150","display_name":"Subgradient method","level":2,"score":0.9950425624847412},{"id":"https://openalex.org/C161999928","wikidata":"https://www.wikidata.org/wiki/Q4556320","display_name":"Variational inequality","level":2,"score":0.9268112778663635},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7844473123550415},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.7477657794952393},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.7090820670127869},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.586849570274353},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5778452754020691},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.460096538066864},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.44118624925613403},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.4254147708415985},{"id":"https://openalex.org/C65557600","wikidata":"https://www.wikidata.org/wiki/Q7249451","display_name":"Projection method","level":3,"score":0.41123831272125244},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2904593348503113},{"id":"https://openalex.org/C202426404","wikidata":"https://www.wikidata.org/wiki/Q5318686","display_name":"Dykstra's projection algorithm","level":2,"score":0.23248010873794556},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.19124314188957214},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11075-017-0467-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-017-0467-x","pdf_url":null,"source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"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":"Numerical Algorithms","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.699999988079071,"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":44,"referenced_works":["https://openalex.org/W205960364","https://openalex.org/W1519983590","https://openalex.org/W1543439990","https://openalex.org/W1953994949","https://openalex.org/W1965581979","https://openalex.org/W1966251519","https://openalex.org/W1973434526","https://openalex.org/W1981672261","https://openalex.org/W1987290518","https://openalex.org/W1990693845","https://openalex.org/W1991765628","https://openalex.org/W2013243898","https://openalex.org/W2015928709","https://openalex.org/W2020600211","https://openalex.org/W2021549982","https://openalex.org/W2029580202","https://openalex.org/W2029656726","https://openalex.org/W2038497950","https://openalex.org/W2040006905","https://openalex.org/W2047009880","https://openalex.org/W2055467852","https://openalex.org/W2058164831","https://openalex.org/W2065121429","https://openalex.org/W2069356606","https://openalex.org/W2069491950","https://openalex.org/W2081985785","https://openalex.org/W2099681657","https://openalex.org/W2151339421","https://openalex.org/W2182726851","https://openalex.org/W2237112165","https://openalex.org/W2443846959","https://openalex.org/W2516898031","https://openalex.org/W2525229864","https://openalex.org/W2558001808","https://openalex.org/W2586209465","https://openalex.org/W2592329460","https://openalex.org/W2594169092","https://openalex.org/W2608242279","https://openalex.org/W2740739160","https://openalex.org/W2751887966","https://openalex.org/W2950866122","https://openalex.org/W3101497372","https://openalex.org/W4229650096","https://openalex.org/W4251401614"],"related_works":["https://openalex.org/W2962762987","https://openalex.org/W2781777036","https://openalex.org/W3196983597","https://openalex.org/W2755725405","https://openalex.org/W2503607608","https://openalex.org/W1991765628","https://openalex.org/W2072534783","https://openalex.org/W4206677478","https://openalex.org/W3209321203","https://openalex.org/W2078980565"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":6},{"year":2025,"cited_by_count":11},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":20},{"year":2021,"cited_by_count":16},{"year":2020,"cited_by_count":7},{"year":2019,"cited_by_count":9},{"year":2018,"cited_by_count":1}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}
