{"id":"https://openalex.org/W3199648579","doi":"https://doi.org/10.1007/s10957-021-01910-2","title":"Projection Algorithms for Solving the Split Feasibility Problem with Multiple Output Sets","display_name":"Projection Algorithms for Solving the Split Feasibility Problem with Multiple Output Sets","publication_year":2021,"publication_date":"2021-07-30","ids":{"openalex":"https://openalex.org/W3199648579","doi":"https://doi.org/10.1007/s10957-021-01910-2","mag":"3199648579"},"language":"en","primary_location":{"id":"doi:10.1007/s10957-021-01910-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10957-021-01910-2","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/A5057413218","display_name":"Simeon Reich","orcid":"https://orcid.org/0000-0003-0780-1559"},"institutions":[{"id":"https://openalex.org/I174306211","display_name":"Technion \u2013 Israel Institute of Technology","ror":"https://ror.org/03qryx823","country_code":"IL","type":"education","lineage":["https://openalex.org/I174306211"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Simeon Reich","raw_affiliation_strings":["Department of Mathematics, The Technion \u2013 Israel Institute of Technology, 32000, Haifa, Israel"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, The Technion \u2013 Israel Institute of Technology, 32000, Haifa, Israel","institution_ids":["https://openalex.org/I174306211"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5042304892","display_name":"Truong Minh Tuyen","orcid":"https://orcid.org/0000-0002-9271-972X"},"institutions":[{"id":"https://openalex.org/I4210115718","display_name":"Thai Nguyen University","ror":"https://ror.org/02128gy91","country_code":"VN","type":"education","lineage":["https://openalex.org/I4210115718"]}],"countries":["VN"],"is_corresponding":true,"raw_author_name":"Truong Minh Tuyen","raw_affiliation_strings":["Thai Nguyen University of Sciences, Thai Nguyen, Viet Nam"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Thai Nguyen University of Sciences, Thai Nguyen, Viet Nam","institution_ids":["https://openalex.org/I4210115718"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5042304892"],"corresponding_institution_ids":["https://openalex.org/I4210115718"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":3.8064,"has_fulltext":false,"cited_by_count":40,"citation_normalized_percentile":{"value":0.94051863,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":100},"biblio":{"volume":"190","issue":"3","first_page":"861","last_page":"878"},"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/T11777","display_name":"Fixed Point Theorems Analysis","score":0.9973000288009644,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9842000007629395,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7825148105621338},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.7681045532226562},{"id":"https://openalex.org/keywords/projection","display_name":"Projection (relational algebra)","score":0.6441704630851746},{"id":"https://openalex.org/keywords/banach-space","display_name":"Banach space","score":0.6400803923606873},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.6192581057548523},{"id":"https://openalex.org/keywords/bregman-divergence","display_name":"Bregman divergence","score":0.5490949749946594},{"id":"https://openalex.org/keywords/dykstras-projection-algorithm","display_name":"Dykstra's projection algorithm","score":0.4991631507873535},{"id":"https://openalex.org/keywords/projection-method","display_name":"Projection method","score":0.44492557644844055},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.42721283435821533},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.40141579508781433},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.23772796988487244},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.20318114757537842},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.0876598060131073}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7825148105621338},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.7681045532226562},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.6441704630851746},{"id":"https://openalex.org/C132954091","wikidata":"https://www.wikidata.org/wiki/Q194397","display_name":"Banach space","level":2,"score":0.6400803923606873},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6192581057548523},{"id":"https://openalex.org/C149073432","wikidata":"https://www.wikidata.org/wiki/Q4960382","display_name":"Bregman divergence","level":2,"score":0.5490949749946594},{"id":"https://openalex.org/C202426404","wikidata":"https://www.wikidata.org/wiki/Q5318686","display_name":"Dykstra's projection algorithm","level":2,"score":0.4991631507873535},{"id":"https://openalex.org/C65557600","wikidata":"https://www.wikidata.org/wiki/Q7249451","display_name":"Projection method","level":3,"score":0.44492557644844055},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.42721283435821533},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.40141579508781433},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.23772796988487244},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.20318114757537842},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0876598060131073}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10957-021-01910-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10957-021-01910-2","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:190:y:2021:i:3:d:10.1007_s10957-021-01910-2","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s10957-021-01910-2","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":[],"awards":[{"id":"https://openalex.org/G4247195456","display_name":null,"funder_award_id":"Grant 820/17","funder_id":"https://openalex.org/F4320322252","funder_display_name":"Israel Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320322252","display_name":"Israel Science Foundation","ror":"https://ror.org/04sazxf24"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":40,"referenced_works":["https://openalex.org/W50725609","https://openalex.org/W1506032630","https://openalex.org/W1539408669","https://openalex.org/W1565268343","https://openalex.org/W1601741115","https://openalex.org/W1974274125","https://openalex.org/W1979064790","https://openalex.org/W1984958640","https://openalex.org/W1988539966","https://openalex.org/W1993521181","https://openalex.org/W2005836623","https://openalex.org/W2017614763","https://openalex.org/W2018094386","https://openalex.org/W2033468335","https://openalex.org/W2048685143","https://openalex.org/W2052565283","https://openalex.org/W2057568664","https://openalex.org/W2059362425","https://openalex.org/W2100503136","https://openalex.org/W2117542250","https://openalex.org/W2119645780","https://openalex.org/W2132528752","https://openalex.org/W2135802983","https://openalex.org/W2140063001","https://openalex.org/W2150195104","https://openalex.org/W2155583876","https://openalex.org/W2186211523","https://openalex.org/W2379214786","https://openalex.org/W2600622688","https://openalex.org/W2721626004","https://openalex.org/W2884844198","https://openalex.org/W2891450417","https://openalex.org/W2941093531","https://openalex.org/W2969614393","https://openalex.org/W2982084170","https://openalex.org/W2985951427","https://openalex.org/W3008115076","https://openalex.org/W3037795422","https://openalex.org/W3096462442","https://openalex.org/W3122244759"],"related_works":["https://openalex.org/W2755632338","https://openalex.org/W2091172514","https://openalex.org/W3202139669","https://openalex.org/W4206321257","https://openalex.org/W2090682043","https://openalex.org/W3154000287","https://openalex.org/W2067699873","https://openalex.org/W4301396892","https://openalex.org/W4381849316","https://openalex.org/W1991430332"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":7},{"year":2025,"cited_by_count":8},{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":12},{"year":2022,"cited_by_count":6},{"year":2021,"cited_by_count":1}],"updated_date":"2026-06-17T08:01:34.144755","created_date":"2025-10-10T00:00:00"}