{"id":"https://openalex.org/W1994253448","doi":"https://doi.org/10.1155/2012/683890","title":"A Note on Approximating Curve with 1\u2010Norm Regularization Method for the Split Feasibility Problem","display_name":"A Note on Approximating Curve with 1\u2010Norm Regularization Method for the Split Feasibility Problem","publication_year":2012,"publication_date":"2012-01-01","ids":{"openalex":"https://openalex.org/W1994253448","doi":"https://doi.org/10.1155/2012/683890","mag":"1994253448"},"language":"en","primary_location":{"id":"doi:10.1155/2012/683890","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2012/683890","pdf_url":"https://downloads.hindawi.com/journals/jam/2012/683890.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://downloads.hindawi.com/journals/jam/2012/683890.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100930532","display_name":"Songnian He","orcid":null},"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":"Songnian He","raw_affiliation_strings":["College of Science, Civil Aviation University of China, \r\n                    Tianjin 300300","Tianjin Key Laboratory for Advanced Signal Processing, Civil Aviation University of China, Tianjin 300300","College of Science, Civil Aviation University of China, \n                    Tianjin 300300"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Science, Civil Aviation University of China, \r\n                    Tianjin 300300","institution_ids":["https://openalex.org/I28813325"]},{"raw_affiliation_string":"Tianjin Key Laboratory for Advanced Signal Processing, Civil Aviation University of China, Tianjin 300300","institution_ids":["https://openalex.org/I28813325"]},{"raw_affiliation_string":"College of Science, Civil Aviation University of China, \n                    Tianjin 300300","institution_ids":["https://openalex.org/I28813325"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101430681","display_name":"Wenlong Zhu","orcid":"https://orcid.org/0000-0002-0799-3178"},"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":"Wenlong Zhu","raw_affiliation_strings":["College of Science, Civil Aviation University of China, \r\n                    Tianjin 300300","Tianjin Key Laboratory for Advanced Signal Processing, Civil Aviation University of China, Tianjin 300300","College of Science, Civil Aviation University of China, \n                    Tianjin 300300"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Science, Civil Aviation University of China, \r\n                    Tianjin 300300","institution_ids":["https://openalex.org/I28813325"]},{"raw_affiliation_string":"Tianjin Key Laboratory for Advanced Signal Processing, Civil Aviation University of China, Tianjin 300300","institution_ids":["https://openalex.org/I28813325"]},{"raw_affiliation_string":"College of Science, Civil Aviation University of China, \n                    Tianjin 300300","institution_ids":["https://openalex.org/I28813325"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5100930532"],"corresponding_institution_ids":["https://openalex.org/I28813325"],"apc_list":{"value":1025,"currency":"USD","value_usd":1025},"apc_paid":{"value":1025,"currency":"USD","value_usd":1025},"fwci":0.6942,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":{"value":0.70348537,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"2012","issue":"1","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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9987999796867371,"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/T12709","display_name":"Optimization and Mathematical Programming","score":0.9926999807357788,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems 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":0.7246480584144592},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.6936509013175964},{"id":"https://openalex.org/keywords/regularization","display_name":"Regularization (linguistics)","score":0.6046798229217529},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5458259582519531},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4382030963897705},{"id":"https://openalex.org/keywords/dual-norm","display_name":"Dual norm","score":0.4280849099159241},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2860800325870514},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.17356255650520325},{"id":"https://openalex.org/keywords/banach-space","display_name":"Banach space","score":0.08155739307403564},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.04434654116630554}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7246480584144592},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.6936509013175964},{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.6046798229217529},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5458259582519531},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4382030963897705},{"id":"https://openalex.org/C100022809","wikidata":"https://www.wikidata.org/wiki/Q5310221","display_name":"Dual norm","level":3,"score":0.4280849099159241},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2860800325870514},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.17356255650520325},{"id":"https://openalex.org/C132954091","wikidata":"https://www.wikidata.org/wiki/Q194397","display_name":"Banach space","level":2,"score":0.08155739307403564},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.04434654116630554},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1155/2012/683890","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2012/683890","pdf_url":"https://downloads.hindawi.com/journals/jam/2012/683890.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:CULeuclid:euclid.jam/1357179980","is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.jam/1357179980","pdf_url":null,"source":{"id":"https://openalex.org/S4306400787","display_name":"Project Euclid (Cornell University)","issn_l":null,"issn":null,"is_oa":false,"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":"","raw_type":"Text"},{"id":"pmh:oai:RePEc:hin:jnljam:683890","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/JAM/2012/683890.xml","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"},{"id":"pmh:oai:doaj.org/article:c5e62508e2fe4e3a8421760d90560643","is_oa":false,"landing_page_url":"https://doaj.org/article/c5e62508e2fe4e3a8421760d90560643","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Applied Mathematics, Vol 2012 (2012)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2012/683890","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2012/683890","pdf_url":"https://downloads.hindawi.com/journals/jam/2012/683890.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Reduced inequalities","score":0.4399999976158142,"id":"https://metadata.un.org/sdg/10"}],"awards":[{"id":"https://openalex.org/G1162641836","display_name":null,"funder_award_id":"ZXH2012K001","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"},{"id":"https://openalex.org/G6457464973","display_name":null,"funder_award_id":"YJSCX12-22","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"}],"funders":[{"id":"https://openalex.org/F4320335787","display_name":"Fundamental Research Funds for the Central Universities","ror":null}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1994253448.pdf","grobid_xml":"https://content.openalex.org/works/W1994253448.grobid-xml"},"referenced_works_count":20,"referenced_works":["https://openalex.org/W1570089119","https://openalex.org/W1973510564","https://openalex.org/W1974274125","https://openalex.org/W1979064790","https://openalex.org/W1980279252","https://openalex.org/W1988539966","https://openalex.org/W2006978423","https://openalex.org/W2011108295","https://openalex.org/W2017614763","https://openalex.org/W2021349021","https://openalex.org/W2048500732","https://openalex.org/W2050316262","https://openalex.org/W2079364432","https://openalex.org/W2088305447","https://openalex.org/W2100503136","https://openalex.org/W2135802983","https://openalex.org/W2150195104","https://openalex.org/W2150710927","https://openalex.org/W2161856829","https://openalex.org/W2502261143"],"related_works":["https://openalex.org/W2147619060","https://openalex.org/W2910693632","https://openalex.org/W4366768782","https://openalex.org/W2374649169","https://openalex.org/W2023111059","https://openalex.org/W4388009873","https://openalex.org/W4386890267","https://openalex.org/W2392085432","https://openalex.org/W1932647057","https://openalex.org/W2028999494"],"abstract_inverted_index":{"Inspired":[0],"by":[1],"the":[2,15,23,31,38,45,48,52],"very":[3],"recent":[4],"results":[5],"of":[6,14,30,35,40],"Wang":[7],"and":[8,44,51],"Xu":[9],"(2010),":[10],"we":[11],"study":[12],"properties":[13],"approximating":[16,49],"curve":[17,50],"with":[18],"1\u2010norm":[19,41],"regularization":[20],"method":[21],"for":[22],"split":[24],"feasibility":[25],"problem":[26],"(SFP).":[27],"The":[28],"concept":[29],"minimum\u2010norm":[32,53],"solution":[33,54],"set":[34,55],"SFP":[36],"in":[37],"sense":[39],"is":[42,56],"proposed,":[43],"relationship":[46],"between":[47],"obtained.":[57]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}