{"id":"https://openalex.org/W2132528752","doi":"https://doi.org/10.1007/s11075-011-9490-5","title":"Algorithms for the Split Variational Inequality Problem","display_name":"Algorithms for the Split Variational Inequality Problem","publication_year":2011,"publication_date":"2011-08-04","ids":{"openalex":"https://openalex.org/W2132528752","doi":"https://doi.org/10.1007/s11075-011-9490-5","mag":"2132528752"},"language":"en","primary_location":{"id":"doi:10.1007/s11075-011-9490-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-011-9490-5","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":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1009.3780","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5075594934","display_name":"Yair Censor","orcid":"https://orcid.org/0000-0003-2247-818X"},"institutions":[{"id":"https://openalex.org/I4210120800","display_name":"Carmel (Israel)","ror":"https://ror.org/02wvcn790","country_code":"IL","type":"company","lineage":["https://openalex.org/I4210120800"]},{"id":"https://openalex.org/I91203450","display_name":"University of Haifa","ror":"https://ror.org/02f009v59","country_code":"IL","type":"education","lineage":["https://openalex.org/I91203450"]}],"countries":["IL"],"is_corresponding":true,"raw_author_name":"Yair Censor","raw_affiliation_strings":["Department of Mathematics, University of Haifa, Mt. Carmel, 31905, Haifa, Israel","Department of Mathematics, University of Haifa, Mt. Carmel, Israel","Department of Mathematics, University of Haifa, Mt. Carmel, Israel 31905#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Haifa, Mt. Carmel, 31905, Haifa, Israel","institution_ids":["https://openalex.org/I91203450","https://openalex.org/I4210120800"]},{"raw_affiliation_string":"Department of Mathematics, University of Haifa, Mt. Carmel, Israel","institution_ids":["https://openalex.org/I91203450","https://openalex.org/I4210120800"]},{"raw_affiliation_string":"Department of Mathematics, University of Haifa, Mt. Carmel, Israel 31905#TAB#","institution_ids":["https://openalex.org/I91203450"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5087852344","display_name":"Aviv Gibali","orcid":"https://orcid.org/0000-0002-2150-553X"},"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":"Aviv Gibali","raw_affiliation_strings":["Department of Mathematics, The Technion - Israel Institute of Technology, Technion City, 32000, Haifa, Israel","Department of Mathematics, The Technion - Israel Institute of Technology, Technion City, Israel","Department of Mathematics, The Technion - Israel Institute of Technology, Technion City, Israel 32000#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, The Technion - Israel Institute of Technology, Technion City, 32000, Haifa, Israel","institution_ids":["https://openalex.org/I174306211"]},{"raw_affiliation_string":"Department of Mathematics, The Technion - Israel Institute of Technology, Technion City, Israel","institution_ids":["https://openalex.org/I174306211"]},{"raw_affiliation_string":"Department of Mathematics, The Technion - Israel Institute of Technology, Technion City, Israel 32000#TAB#","institution_ids":["https://openalex.org/I174306211"]}]},{"author_position":"last","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 - Israel Institute of Technology, Technion City, 32000, Haifa, Israel","Department of Mathematics, The Technion - Israel Institute of Technology, Technion City, Israel","Department of Mathematics, The Technion - Israel Institute of Technology, Technion City, Israel 32000#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, The Technion - Israel Institute of Technology, Technion City, 32000, Haifa, Israel","institution_ids":["https://openalex.org/I174306211"]},{"raw_affiliation_string":"Department of Mathematics, The Technion - Israel Institute of Technology, Technion City, Israel","institution_ids":["https://openalex.org/I174306211"]},{"raw_affiliation_string":"Department of Mathematics, The Technion - Israel Institute of Technology, Technion City, Israel 32000#TAB#","institution_ids":["https://openalex.org/I174306211"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5075594934"],"corresponding_institution_ids":["https://openalex.org/I4210120800","https://openalex.org/I91203450"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":14.3582,"has_fulltext":false,"cited_by_count":614,"citation_normalized_percentile":{"value":0.99448911,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":98,"max":100},"biblio":{"volume":"59","issue":"2","first_page":"301","last_page":"323"},"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":0.9872000217437744,"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":0.9828000068664551,"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/mathematics","display_name":"Mathematics","score":0.8490599989891052},{"id":"https://openalex.org/keywords/variational-inequality","display_name":"Variational inequality","score":0.7712533473968506},{"id":"https://openalex.org/keywords/hilbert-space","display_name":"Hilbert space","score":0.7417823076248169},{"id":"https://openalex.org/keywords/inverse-problem","display_name":"Inverse problem","score":0.5774174332618713},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.4991471767425537},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.4843827188014984},{"id":"https://openalex.org/keywords/euclidean-space","display_name":"Euclidean space","score":0.4552946388721466},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.44994157552719116},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4409732520580292},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.34832167625427246},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2780178487300873},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.24558612704277039},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.0889301598072052}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8490599989891052},{"id":"https://openalex.org/C161999928","wikidata":"https://www.wikidata.org/wiki/Q4556320","display_name":"Variational inequality","level":2,"score":0.7712533473968506},{"id":"https://openalex.org/C62799726","wikidata":"https://www.wikidata.org/wiki/Q190056","display_name":"Hilbert space","level":2,"score":0.7417823076248169},{"id":"https://openalex.org/C135252773","wikidata":"https://www.wikidata.org/wiki/Q1567213","display_name":"Inverse problem","level":2,"score":0.5774174332618713},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.4991471767425537},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.4843827188014984},{"id":"https://openalex.org/C186450821","wikidata":"https://www.wikidata.org/wiki/Q17295","display_name":"Euclidean space","level":2,"score":0.4552946388721466},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.44994157552719116},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4409732520580292},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.34832167625427246},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2780178487300873},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.24558612704277039},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0889301598072052}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s11075-011-9490-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-011-9490-5","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"},{"id":"pmh:oai:arXiv.org:1009.3780","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1009.3780","pdf_url":"https://arxiv.org/pdf/1009.3780","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"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":null,"raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1009.3780","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1009.3780","pdf_url":"https://arxiv.org/pdf/1009.3780","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"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":null,"raw_type":"text"},"sustainable_development_goals":[{"score":0.6700000166893005,"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":48,"referenced_works":["https://openalex.org/W16591383","https://openalex.org/W93786226","https://openalex.org/W95296943","https://openalex.org/W1519983590","https://openalex.org/W1585386565","https://openalex.org/W1603765807","https://openalex.org/W1965409870","https://openalex.org/W1973434526","https://openalex.org/W1979064790","https://openalex.org/W1988539966","https://openalex.org/W1990049920","https://openalex.org/W1991765628","https://openalex.org/W1998318467","https://openalex.org/W2005778669","https://openalex.org/W2011108295","https://openalex.org/W2014924278","https://openalex.org/W2015928709","https://openalex.org/W2017614763","https://openalex.org/W2026851807","https://openalex.org/W2033433011","https://openalex.org/W2033511209","https://openalex.org/W2036525122","https://openalex.org/W2052565283","https://openalex.org/W2052611235","https://openalex.org/W2053487511","https://openalex.org/W2056218782","https://openalex.org/W2062059813","https://openalex.org/W2066333552","https://openalex.org/W2069491950","https://openalex.org/W2076310535","https://openalex.org/W2081205540","https://openalex.org/W2094508696","https://openalex.org/W2099681657","https://openalex.org/W2100503136","https://openalex.org/W2119645780","https://openalex.org/W2132058804","https://openalex.org/W2132677982","https://openalex.org/W2135802983","https://openalex.org/W2136038196","https://openalex.org/W2146418213","https://openalex.org/W2150195104","https://openalex.org/W2155161834","https://openalex.org/W2166997932","https://openalex.org/W2188795286","https://openalex.org/W2976223356","https://openalex.org/W3099167956","https://openalex.org/W4213133970","https://openalex.org/W4242159483"],"related_works":["https://openalex.org/W1991765628","https://openalex.org/W2055132062","https://openalex.org/W2330072811","https://openalex.org/W1987269275","https://openalex.org/W2053463107","https://openalex.org/W3164499765","https://openalex.org/W2381443067","https://openalex.org/W2121115887","https://openalex.org/W2058725647","https://openalex.org/W3143755272"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":19},{"year":2025,"cited_by_count":46},{"year":2024,"cited_by_count":49},{"year":2023,"cited_by_count":54},{"year":2022,"cited_by_count":59},{"year":2021,"cited_by_count":81},{"year":2020,"cited_by_count":73},{"year":2019,"cited_by_count":45},{"year":2018,"cited_by_count":47},{"year":2017,"cited_by_count":38},{"year":2016,"cited_by_count":36},{"year":2015,"cited_by_count":22},{"year":2014,"cited_by_count":23},{"year":2013,"cited_by_count":11},{"year":2012,"cited_by_count":6}],"updated_date":"2026-07-03T08:13:44.112507","created_date":"2025-10-10T00:00:00"}