{"id":"https://openalex.org/W2166043714","doi":"https://doi.org/10.1007/s10957-014-0598-3","title":"A Relaxed Projection Method for Split Variational Inequalities","display_name":"A Relaxed Projection Method for Split Variational Inequalities","publication_year":2014,"publication_date":"2014-07-01","ids":{"openalex":"https://openalex.org/W2166043714","doi":"https://doi.org/10.1007/s10957-014-0598-3","mag":"2166043714"},"language":"en","primary_location":{"id":"doi:10.1007/s10957-014-0598-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10957-014-0598-3","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/A5070555054","display_name":"Hongjin He","orcid":"https://orcid.org/0000-0001-7672-4943"},"institutions":[{"id":"https://openalex.org/I50760025","display_name":"Hangzhou Dianzi University","ror":"https://ror.org/0576gt767","country_code":"CN","type":"education","lineage":["https://openalex.org/I50760025"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hongjin He","raw_affiliation_strings":["Department of Mathematics, School of Science, Hangzhou Dianzi University, Hangzhou, 310018, China"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, School of Science, Hangzhou Dianzi University, Hangzhou, 310018, China","institution_ids":["https://openalex.org/I50760025"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101911109","display_name":"Chen Ling","orcid":"https://orcid.org/0000-0001-9103-0501"},"institutions":[{"id":"https://openalex.org/I50760025","display_name":"Hangzhou Dianzi University","ror":"https://ror.org/0576gt767","country_code":"CN","type":"education","lineage":["https://openalex.org/I50760025"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Chen Ling","raw_affiliation_strings":["Department of Mathematics, School of Science, Hangzhou Dianzi University, Hangzhou, 310018, China"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, School of Science, Hangzhou Dianzi University, Hangzhou, 310018, China","institution_ids":["https://openalex.org/I50760025"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5014614476","display_name":"Hong\u2010Kun Xu","orcid":"https://orcid.org/0000-0002-2035-2105"},"institutions":[{"id":"https://openalex.org/I142974352","display_name":"National Sun Yat-sen University","ror":"https://ror.org/00mjawt10","country_code":"TW","type":"education","lineage":["https://openalex.org/I142974352"]}],"countries":["TW"],"is_corresponding":true,"raw_author_name":"Hong-Kun Xu","raw_affiliation_strings":["Department of Applied Mathematics, National Sun Yat-sen University, Kaohsiung, 80424, Taiwan"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, National Sun Yat-sen University, Kaohsiung, 80424, Taiwan","institution_ids":["https://openalex.org/I142974352"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5014614476"],"corresponding_institution_ids":["https://openalex.org/I142974352"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.7361,"has_fulltext":false,"cited_by_count":36,"citation_normalized_percentile":{"value":0.74769589,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"166","issue":"1","first_page":"213","last_page":"233"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9994999766349792,"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":0.9994999766349792,"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":0.9865999817848206,"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":0.9671000242233276,"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/variational-inequality","display_name":"Variational inequality","score":0.8712717294692993},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7951908111572266},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.6271790862083435},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.5325689911842346},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.5321570634841919},{"id":"https://openalex.org/keywords/projection-method","display_name":"Projection method","score":0.5229050517082214},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5053830146789551},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4751943349838257},{"id":"https://openalex.org/keywords/projection","display_name":"Projection (relational algebra)","score":0.47438862919807434},{"id":"https://openalex.org/keywords/variational-analysis","display_name":"Variational analysis","score":0.459806352853775},{"id":"https://openalex.org/keywords/separable-space","display_name":"Separable space","score":0.4278659224510193},{"id":"https://openalex.org/keywords/variable","display_name":"Variable (mathematics)","score":0.42031121253967285},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.27829110622406006},{"id":"https://openalex.org/keywords/dykstras-projection-algorithm","display_name":"Dykstra's projection algorithm","score":0.17685726284980774},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.16807058453559875},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.07453784346580505}],"concepts":[{"id":"https://openalex.org/C161999928","wikidata":"https://www.wikidata.org/wiki/Q4556320","display_name":"Variational inequality","level":2,"score":0.8712717294692993},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7951908111572266},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.6271790862083435},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.5325689911842346},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.5321570634841919},{"id":"https://openalex.org/C65557600","wikidata":"https://www.wikidata.org/wiki/Q7249451","display_name":"Projection method","level":3,"score":0.5229050517082214},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5053830146789551},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4751943349838257},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.47438862919807434},{"id":"https://openalex.org/C523394659","wikidata":"https://www.wikidata.org/wiki/Q17086892","display_name":"Variational analysis","level":2,"score":0.459806352853775},{"id":"https://openalex.org/C70710897","wikidata":"https://www.wikidata.org/wiki/Q680081","display_name":"Separable space","level":2,"score":0.4278659224510193},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.42031121253967285},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.27829110622406006},{"id":"https://openalex.org/C202426404","wikidata":"https://www.wikidata.org/wiki/Q5318686","display_name":"Dykstra's projection algorithm","level":2,"score":0.17685726284980774},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.16807058453559875},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.07453784346580505},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10957-014-0598-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10957-014-0598-3","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:166:y:2015:i:1:d:10.1007_s10957-014-0598-3","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s10957-014-0598-3","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":[{"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10","score":0.6499999761581421}],"awards":[],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320321040","display_name":"National Science Council","ror":"https://ror.org/02kv4zf79"},{"id":"https://openalex.org/F4320321935","display_name":"Hangzhou Dianzi University","ror":"https://ror.org/0576gt767"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":51,"referenced_works":["https://openalex.org/W1519983590","https://openalex.org/W1543439990","https://openalex.org/W1603765807","https://openalex.org/W1964709249","https://openalex.org/W1973463148","https://openalex.org/W1979064790","https://openalex.org/W1980813379","https://openalex.org/W1988539966","https://openalex.org/W1992408309","https://openalex.org/W2008021048","https://openalex.org/W2017614763","https://openalex.org/W2023943548","https://openalex.org/W2026517977","https://openalex.org/W2032760947","https://openalex.org/W2033433011","https://openalex.org/W2033511209","https://openalex.org/W2034830107","https://openalex.org/W2047376837","https://openalex.org/W2056218782","https://openalex.org/W2059164920","https://openalex.org/W2062419899","https://openalex.org/W2063437572","https://openalex.org/W2064066100","https://openalex.org/W2064704422","https://openalex.org/W2066333552","https://openalex.org/W2070437446","https://openalex.org/W2073953242","https://openalex.org/W2079261074","https://openalex.org/W2080467160","https://openalex.org/W2084874367","https://openalex.org/W2100503136","https://openalex.org/W2102001023","https://openalex.org/W2102631255","https://openalex.org/W2119645780","https://openalex.org/W2123197234","https://openalex.org/W2132528752","https://openalex.org/W2135802983","https://openalex.org/W2140063001","https://openalex.org/W2144220474","https://openalex.org/W2146418213","https://openalex.org/W2149549695","https://openalex.org/W2150195104","https://openalex.org/W2150887500","https://openalex.org/W2155161834","https://openalex.org/W2166010438","https://openalex.org/W2166997932","https://openalex.org/W2963074286","https://openalex.org/W3099167956","https://openalex.org/W3122244759","https://openalex.org/W3199149775","https://openalex.org/W4301791716"],"related_works":["https://openalex.org/W2036568128","https://openalex.org/W1561297735","https://openalex.org/W2350630885","https://openalex.org/W2091288255","https://openalex.org/W4298031463","https://openalex.org/W2390043152","https://openalex.org/W2089630933","https://openalex.org/W2047009880","https://openalex.org/W132603063","https://openalex.org/W3092551194"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":9},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}