{"id":"https://openalex.org/W1664501243","doi":"https://doi.org/10.1023/a:1026506516738","title":"Some Methods Based on the D-Gap Function for Solving Monotone Variational Inequalities","display_name":"Some Methods Based on the D-Gap Function for Solving Monotone Variational Inequalities","publication_year":2000,"publication_date":"2000-12-01","ids":{"openalex":"https://openalex.org/W1664501243","doi":"https://doi.org/10.1023/a:1026506516738","mag":"1664501243"},"language":"en","primary_location":{"id":"doi:10.1023/a:1026506516738","is_oa":false,"landing_page_url":"https://doi.org/10.1023/a:1026506516738","pdf_url":null,"source":{"id":"https://openalex.org/S39243548","display_name":"Computational Optimization and Applications","issn_l":"0926-6003","issn":["0926-6003","1573-2894"],"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":"Computational Optimization 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/A5109872938","display_name":"Michael V. Solodov","orcid":null},"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"]},{"id":"https://openalex.org/I4210128604","display_name":"Instituto de Pesquisas Jardim Bot\u00e2nico do Rio de Janeiro","ror":"https://ror.org/033xtdz52","country_code":"BR","type":"archive","lineage":["https://openalex.org/I4210128604"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Michael V. Solodov","raw_affiliation_strings":["Instituto de Matem\u00e1tica Pura e Aplicada, Estrada Dona Castorina 110, Jardim Bot\u00e2nico, Rio de Janeiro, RJ, 22460-320, Brazil","Instituto de Matem\u00e1tica Pura e Aplicada, Estrada Dona Castorina 110, Jardim Bot\u00e2nico, Rio de Janeiro, RJ, 22460-320, Brazil. [email\u00a0protected]#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Instituto de Matem\u00e1tica Pura e Aplicada, Estrada Dona Castorina 110, Jardim Bot\u00e2nico, Rio de Janeiro, RJ, 22460-320, Brazil","institution_ids":["https://openalex.org/I141883831","https://openalex.org/I4210128604"]},{"raw_affiliation_string":"Instituto de Matem\u00e1tica Pura e Aplicada, Estrada Dona Castorina 110, Jardim Bot\u00e2nico, Rio de Janeiro, RJ, 22460-320, Brazil. [email\u00a0protected]#TAB#","institution_ids":["https://openalex.org/I141883831"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5002191118","display_name":"Paul Tseng","orcid":null},"institutions":[{"id":"https://openalex.org/I201448701","display_name":"University of Washington","ror":"https://ror.org/00cvxb145","country_code":"US","type":"education","lineage":["https://openalex.org/I201448701"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Paul Tseng","raw_affiliation_strings":["Department of Mathematics, University of Washington, Seattle, WA, 98195, USA","Department of Mathematics, University of Washington, Seattle, WA 98195, USA. tseng@math.washington.edu#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Washington, Seattle, WA, 98195, USA","institution_ids":["https://openalex.org/I201448701"]},{"raw_affiliation_string":"Department of Mathematics, University of Washington, Seattle, WA 98195, USA. tseng@math.washington.edu#TAB#","institution_ids":["https://openalex.org/I201448701"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":2.8184,"has_fulltext":false,"cited_by_count":49,"citation_normalized_percentile":{"value":0.89715972,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"17","issue":"2-3","first_page":"255","last_page":"277"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9997000098228455,"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":0.9997000098228455,"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":0.9991999864578247,"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/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":0.9847000241279602,"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":0.8511406183242798},{"id":"https://openalex.org/keywords/variational-inequality","display_name":"Variational inequality","score":0.7554829120635986},{"id":"https://openalex.org/keywords/monotone-polygon","display_name":"Monotone polygon","score":0.7243558764457703},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.5650294423103333},{"id":"https://openalex.org/keywords/monotonic-function","display_name":"Monotonic function","score":0.5541611313819885},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.544972836971283},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.48529428243637085},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.43918728828430176},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4229838252067566},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.20297756791114807},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.08469605445861816}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8511406183242798},{"id":"https://openalex.org/C161999928","wikidata":"https://www.wikidata.org/wiki/Q4556320","display_name":"Variational inequality","level":2,"score":0.7554829120635986},{"id":"https://openalex.org/C2834757","wikidata":"https://www.wikidata.org/wiki/Q4925424","display_name":"Monotone polygon","level":2,"score":0.7243558764457703},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5650294423103333},{"id":"https://openalex.org/C72169020","wikidata":"https://www.wikidata.org/wiki/Q194404","display_name":"Monotonic function","level":2,"score":0.5541611313819885},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.544972836971283},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.48529428243637085},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.43918728828430176},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4229838252067566},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.20297756791114807},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.08469605445861816},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","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},{"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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1023/a:1026506516738","is_oa":false,"landing_page_url":"https://doi.org/10.1023/a:1026506516738","pdf_url":null,"source":{"id":"https://openalex.org/S39243548","display_name":"Computational Optimization and Applications","issn_l":"0926-6003","issn":["0926-6003","1573-2894"],"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":"Computational Optimization and Applications","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","score":0.6700000166893005,"display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W257907672","https://openalex.org/W654824284","https://openalex.org/W1525007692","https://openalex.org/W1564612581","https://openalex.org/W1568288633","https://openalex.org/W1594537858","https://openalex.org/W1599532185","https://openalex.org/W1948466936","https://openalex.org/W1966205354","https://openalex.org/W1970441758","https://openalex.org/W1972312845","https://openalex.org/W1985348591","https://openalex.org/W1995158804","https://openalex.org/W1995227244","https://openalex.org/W2010413631","https://openalex.org/W2013846461","https://openalex.org/W2026702390","https://openalex.org/W2039003070","https://openalex.org/W2045266516","https://openalex.org/W2064114733","https://openalex.org/W2073044751","https://openalex.org/W2073584813","https://openalex.org/W2075825252","https://openalex.org/W2082451773","https://openalex.org/W2084288112","https://openalex.org/W2085919653","https://openalex.org/W2107710567","https://openalex.org/W2132158026","https://openalex.org/W2798766386","https://openalex.org/W4241705128","https://openalex.org/W6609611259","https://openalex.org/W6819438926"],"related_works":["https://openalex.org/W4364383069","https://openalex.org/W2320116587","https://openalex.org/W2392728215","https://openalex.org/W3038570815","https://openalex.org/W4281571022","https://openalex.org/W2356639438","https://openalex.org/W1481373773","https://openalex.org/W2338703130","https://openalex.org/W2963326575","https://openalex.org/W2963008666"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":3},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":5},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":2}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2016-06-24T00:00:00"}