{"id":"https://openalex.org/W2093666130","doi":"https://doi.org/10.1016/s0167-6377(98)00044-3","title":"Some convergence properties of a method of multipliers for linearly constrained monotone variational inequalities","display_name":"Some convergence properties of a method of multipliers for linearly constrained monotone variational inequalities","publication_year":1998,"publication_date":"1998-10-01","ids":{"openalex":"https://openalex.org/W2093666130","doi":"https://doi.org/10.1016/s0167-6377(98)00044-3","mag":"2093666130"},"language":"en","primary_location":{"id":"doi:10.1016/s0167-6377(98)00044-3","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0167-6377(98)00044-3","pdf_url":null,"source":{"id":"https://openalex.org/S27769002","display_name":"Operations Research Letters","issn_l":"0167-6377","issn":["0167-6377","1872-7468"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Operations Research Letters","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/A5039946576","display_name":"Bingsheng He","orcid":"https://orcid.org/0000-0001-8618-4581"},"institutions":[{"id":"https://openalex.org/I881766915","display_name":"Nanjing University","ror":"https://ror.org/01rxvg760","country_code":"CN","type":"education","lineage":["https://openalex.org/I881766915"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Bingsheng He","raw_affiliation_strings":["Department of Mathematics, Nanjing University, Nanjing, 210093, People's Republic of China","Department of Mathematics, Nanjing University, Nanjing 210093, People\u2019s Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Nanjing University, Nanjing, 210093, People's Republic of China","institution_ids":["https://openalex.org/I881766915"]},{"raw_affiliation_string":"Department of Mathematics, Nanjing University, Nanjing 210093, People\u2019s Republic of China","institution_ids":["https://openalex.org/I881766915"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5045705475","display_name":"Hai Yang","orcid":"https://orcid.org/0000-0001-5210-8468"},"institutions":[{"id":"https://openalex.org/I200769079","display_name":"Hong Kong University of Science and Technology","ror":"https://ror.org/00q4vv597","country_code":"HK","type":"education","lineage":["https://openalex.org/I200769079"]},{"id":"https://openalex.org/I889458895","display_name":"University of Hong Kong","ror":"https://ror.org/02zhqgq86","country_code":"HK","type":"education","lineage":["https://openalex.org/I889458895"]}],"countries":["HK"],"is_corresponding":true,"raw_author_name":"Hai Yang","raw_affiliation_strings":["Department of Civil Engineering, The Hong Kong University of Science & Technology, Clear Water Bay, Kowloon, Hong Kong, People's Republic of China","Department of Civil Engineering, The Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Civil Engineering, The Hong Kong University of Science & Technology, Clear Water Bay, Kowloon, Hong Kong, People's Republic of China","institution_ids":["https://openalex.org/I200769079","https://openalex.org/I889458895"]},{"raw_affiliation_string":"Department of Civil Engineering, The Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong, People's Republic of China","institution_ids":["https://openalex.org/I200769079"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5045705475"],"corresponding_institution_ids":["https://openalex.org/I200769079","https://openalex.org/I889458895"],"apc_list":{"value":2960,"currency":"USD","value_usd":2960},"apc_paid":null,"fwci":0.9776,"has_fulltext":false,"cited_by_count":139,"citation_normalized_percentile":{"value":0.77162562,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":100},"biblio":{"volume":"23","issue":"3-5","first_page":"151","last_page":"161"},"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":0.9947999715805054,"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":0.9926000237464905,"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/variational-inequality","display_name":"Variational inequality","score":0.8405128717422485},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.705727219581604},{"id":"https://openalex.org/keywords/inequality","display_name":"Inequality","score":0.6417681574821472},{"id":"https://openalex.org/keywords/monotone-polygon","display_name":"Monotone polygon","score":0.6365188360214233},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6073893904685974},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5361570715904236},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5176270604133606},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.432587206363678},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2576019763946533},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.09267809987068176}],"concepts":[{"id":"https://openalex.org/C161999928","wikidata":"https://www.wikidata.org/wiki/Q4556320","display_name":"Variational inequality","level":2,"score":0.8405128717422485},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.705727219581604},{"id":"https://openalex.org/C45555294","wikidata":"https://www.wikidata.org/wiki/Q28113351","display_name":"Inequality","level":2,"score":0.6417681574821472},{"id":"https://openalex.org/C2834757","wikidata":"https://www.wikidata.org/wiki/Q4925424","display_name":"Monotone polygon","level":2,"score":0.6365188360214233},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6073893904685974},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5361570715904236},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5176270604133606},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.432587206363678},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2576019763946533},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.09267809987068176},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1016/s0167-6377(98)00044-3","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0167-6377(98)00044-3","pdf_url":null,"source":{"id":"https://openalex.org/S27769002","display_name":"Operations Research Letters","issn_l":"0167-6377","issn":["0167-6377","1872-7468"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Operations Research Letters","raw_type":"journal-article"},{"id":"pmh:oai:repository.hkust.edu.hk:1783.1-25071","is_oa":false,"landing_page_url":"http://repository.hkust.edu.hk/ir/Record/1783.1-25071","pdf_url":null,"source":{"id":"https://openalex.org/S4306401796","display_name":"Rare & Special e-Zone (The Hong Kong University of Science and Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I200769079","host_organization_name":"Hong Kong University of Science and Technology","host_organization_lineage":["https://openalex.org/I200769079"],"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":[{"score":0.49000000953674316,"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W1125881252","https://openalex.org/W1516681311","https://openalex.org/W1524324710","https://openalex.org/W1551877617","https://openalex.org/W1966251519","https://openalex.org/W1967077838","https://openalex.org/W1974974058","https://openalex.org/W1987290518","https://openalex.org/W2009138028","https://openalex.org/W2019569173","https://openalex.org/W2023736708","https://openalex.org/W2045079045","https://openalex.org/W2051948401","https://openalex.org/W2063471227","https://openalex.org/W2073315602","https://openalex.org/W2087064588","https://openalex.org/W2090011515","https://openalex.org/W2093246563","https://openalex.org/W2105207928","https://openalex.org/W2143822888","https://openalex.org/W2156927991","https://openalex.org/W2290441346","https://openalex.org/W2985272081","https://openalex.org/W4285719527","https://openalex.org/W4298358184"],"related_works":["https://openalex.org/W2064140307","https://openalex.org/W829267240","https://openalex.org/W4301895170","https://openalex.org/W2163760347","https://openalex.org/W2963936214","https://openalex.org/W2909053289","https://openalex.org/W2104243281","https://openalex.org/W2085771669","https://openalex.org/W1899716740","https://openalex.org/W2383497899"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":7},{"year":2019,"cited_by_count":7},{"year":2018,"cited_by_count":8},{"year":2017,"cited_by_count":11},{"year":2016,"cited_by_count":12},{"year":2015,"cited_by_count":16},{"year":2014,"cited_by_count":13},{"year":2013,"cited_by_count":15},{"year":2012,"cited_by_count":7}],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}
