{"id":"https://openalex.org/W1965650079","doi":"https://doi.org/10.1007/s10107-006-0070-8","title":"A family of projective splitting methods for the sum of two maximal monotone operators","display_name":"A family of projective splitting methods for the sum of two maximal monotone operators","publication_year":2007,"publication_date":"2007-01-04","ids":{"openalex":"https://openalex.org/W1965650079","doi":"https://doi.org/10.1007/s10107-006-0070-8","mag":"1965650079"},"language":"en","primary_location":{"id":"doi:10.1007/s10107-006-0070-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10107-006-0070-8","pdf_url":null,"source":{"id":"https://openalex.org/S193920097","display_name":"Mathematical Programming","issn_l":"0025-5610","issn":["0025-5610","1436-4646"],"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":"Mathematical Programming","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/A5015859697","display_name":"Jonathan Eckstein","orcid":"https://orcid.org/0000-0002-6871-2691"},"institutions":[{"id":"https://openalex.org/I102322142","display_name":"Rutgers, The State University of New Jersey","ror":"https://ror.org/05vt9qd57","country_code":"US","type":"education","lineage":["https://openalex.org/I102322142"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Jonathan Eckstein","raw_affiliation_strings":["Business School (Department of Management Science and Information Systems) and RUTCOR, Rutgers University, 640 Bartholomew Road, Busch Campus, Piscataway, NJ, 08854, USA","Rutgers University, Business School (Department of Management Science and Information Systems) and RUTCOR, 640 Bartholomew Road, Busch Campus, 08854, Piscataway, NJ, USA#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Business School (Department of Management Science and Information Systems) and RUTCOR, Rutgers University, 640 Bartholomew Road, Busch Campus, Piscataway, NJ, 08854, USA","institution_ids":["https://openalex.org/I102322142"]},{"raw_affiliation_string":"Rutgers University, Business School (Department of Management Science and Information Systems) and RUTCOR, 640 Bartholomew Road, Busch Campus, 08854, Piscataway, NJ, USA#TAB#","institution_ids":["https://openalex.org/I102322142"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5053683082","display_name":"B. F. Svaiter","orcid":"https://orcid.org/0000-0003-3656-9883"},"institutions":[{"id":"https://openalex.org/I141883831","display_name":"Instituto Nacional de Matem\u00e1tica Pura e Aplicada","ror":"https://ror.org/028caqe42","country_code":"BR","type":"facility","lineage":["https://openalex.org/I141883831","https://openalex.org/I4210151455"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"B. F. Svaiter","raw_affiliation_strings":["IMPA, Instituto de Matem\u00e1tica Pura e Aplicada, Estrada Dona Castorina, 110, Rio de Janeiro, RJ, CEP 22460-320, Brazil","Instituto de Matem\u00e1tica Pura e Aplicada, IMPA, Estrada Dona Castorina, 110, CEP 22460-320, Rio de Janeiro, RJ, Brazil#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"IMPA, Instituto de Matem\u00e1tica Pura e Aplicada, Estrada Dona Castorina, 110, Rio de Janeiro, RJ, CEP 22460-320, Brazil","institution_ids":["https://openalex.org/I141883831"]},{"raw_affiliation_string":"Instituto de Matem\u00e1tica Pura e Aplicada, IMPA, Estrada Dona Castorina, 110, CEP 22460-320, Rio de Janeiro, RJ, Brazil#TAB#","institution_ids":["https://openalex.org/I141883831"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5015859697"],"corresponding_institution_ids":["https://openalex.org/I102322142"],"apc_list":{"value":2190,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":2.2465,"has_fulltext":false,"cited_by_count":93,"citation_normalized_percentile":{"value":0.8690629,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"111","issue":"1-2","first_page":"173","last_page":"199"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9995999932289124,"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":0.9995999932289124,"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":0.9962000250816345,"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/T11205","display_name":"Numerical methods in inverse problems","score":0.9850000143051147,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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":0.8595665693283081},{"id":"https://openalex.org/keywords/monotone-polygon","display_name":"Monotone polygon","score":0.692240834236145},{"id":"https://openalex.org/keywords/hilbert-space","display_name":"Hilbert space","score":0.5722751021385193},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.5616466403007507},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.5575684309005737},{"id":"https://openalex.org/keywords/monotonic-function","display_name":"Monotonic function","score":0.5202885270118713},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.49766257405281067},{"id":"https://openalex.org/keywords/solution-set","display_name":"Solution set","score":0.4286145269870758},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.42124488949775696},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.38868170976638794},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.3562353849411011},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3222039043903351},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2950531542301178},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2308720350265503},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.07946425676345825}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8595665693283081},{"id":"https://openalex.org/C2834757","wikidata":"https://www.wikidata.org/wiki/Q4925424","display_name":"Monotone polygon","level":2,"score":0.692240834236145},{"id":"https://openalex.org/C62799726","wikidata":"https://www.wikidata.org/wiki/Q190056","display_name":"Hilbert space","level":2,"score":0.5722751021385193},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.5616466403007507},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.5575684309005737},{"id":"https://openalex.org/C72169020","wikidata":"https://www.wikidata.org/wiki/Q194404","display_name":"Monotonic function","level":2,"score":0.5202885270118713},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.49766257405281067},{"id":"https://openalex.org/C60033838","wikidata":"https://www.wikidata.org/wiki/Q1751685","display_name":"Solution set","level":3,"score":0.4286145269870758},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.42124488949775696},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.38868170976638794},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.3562353849411011},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3222039043903351},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2950531542301178},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2308720350265503},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.07946425676345825},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","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/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10107-006-0070-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10107-006-0070-8","pdf_url":null,"source":{"id":"https://openalex.org/S193920097","display_name":"Mathematical Programming","issn_l":"0025-5610","issn":["0025-5610","1436-4646"],"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":"Mathematical Programming","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W257907672","https://openalex.org/W1125881252","https://openalex.org/W1495915592","https://openalex.org/W1974071797","https://openalex.org/W1993666454","https://openalex.org/W1998576973","https://openalex.org/W2012117745","https://openalex.org/W2019569173","https://openalex.org/W2033511209","https://openalex.org/W2042261731","https://openalex.org/W2042532613","https://openalex.org/W2055467852","https://openalex.org/W2058532290","https://openalex.org/W2062447987","https://openalex.org/W2072536590","https://openalex.org/W2074214991","https://openalex.org/W2078458933","https://openalex.org/W2094136786","https://openalex.org/W2132677982","https://openalex.org/W2138216979","https://openalex.org/W2143552821","https://openalex.org/W3214217583","https://openalex.org/W4242702882","https://openalex.org/W4285719527","https://openalex.org/W6609611259"],"related_works":["https://openalex.org/W1489292980","https://openalex.org/W2795079910","https://openalex.org/W2951610245","https://openalex.org/W3037410748","https://openalex.org/W1430963189","https://openalex.org/W1974262772","https://openalex.org/W2049901819","https://openalex.org/W2052430123","https://openalex.org/W1983437306","https://openalex.org/W4387778523"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":7},{"year":2020,"cited_by_count":8},{"year":2019,"cited_by_count":8},{"year":2018,"cited_by_count":9},{"year":2017,"cited_by_count":5},{"year":2016,"cited_by_count":5},{"year":2015,"cited_by_count":11},{"year":2014,"cited_by_count":5},{"year":2013,"cited_by_count":5},{"year":2012,"cited_by_count":6}],"updated_date":"2026-06-19T15:47:20.252518","created_date":"2025-10-10T00:00:00"}
