{"id":"https://openalex.org/W2014528048","doi":"https://doi.org/10.1007/s00186-006-0140-y","title":"A projection method for a system of nonlinear monotone equations with convex constraints","display_name":"A projection method for a system of nonlinear monotone equations with convex constraints","publication_year":2007,"publication_date":"2007-02-05","ids":{"openalex":"https://openalex.org/W2014528048","doi":"https://doi.org/10.1007/s00186-006-0140-y","mag":"2014528048"},"language":"en","primary_location":{"id":"doi:10.1007/s00186-006-0140-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00186-006-0140-y","pdf_url":null,"source":{"id":"https://openalex.org/S126160977","display_name":"Mathematical Methods of Operations Research","issn_l":"1432-2994","issn":["1432-2994","1432-5217"],"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 Methods of Operations Research","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/A5102011650","display_name":"Chuanwei Wang","orcid":"https://orcid.org/0000-0003-3943-8483"},"institutions":[{"id":"https://openalex.org/I74485261","display_name":"Shandong Agricultural University","ror":"https://ror.org/02ke8fw32","country_code":"CN","type":"education","lineage":["https://openalex.org/I74485261"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Chuanwei Wang","raw_affiliation_strings":["College of Information Sciences and Engineering, Shandong Agricultural University, Tai\u2019an Shandong, 271018, China","SHANDONG AGRICULTURAL UNIVERSITY"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Information Sciences and Engineering, Shandong Agricultural University, Tai\u2019an Shandong, 271018, China","institution_ids":["https://openalex.org/I74485261"]},{"raw_affiliation_string":"SHANDONG AGRICULTURAL UNIVERSITY","institution_ids":["https://openalex.org/I74485261"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103281173","display_name":"Yiju Wang","orcid":"https://orcid.org/0000-0003-4802-2172"},"institutions":[{"id":"https://openalex.org/I14243506","display_name":"Hong Kong Polytechnic University","ror":"https://ror.org/0030zas98","country_code":"HK","type":"education","lineage":["https://openalex.org/I14243506"]},{"id":"https://openalex.org/I202126657","display_name":"Qufu Normal University","ror":"https://ror.org/03ceheh96","country_code":"CN","type":"education","lineage":["https://openalex.org/I202126657"]}],"countries":["CN","HK"],"is_corresponding":false,"raw_author_name":"Yiju Wang","raw_affiliation_strings":["Department of Applied Mathematics, The Hong Kong Polytechnic University, Kowloon, Hong Kong","School of Operations Research and Management Science, Qufu Normal University, Rizhao Shandong, 276800, China","Qufu Normal University","The Hong Kong Polytechnic University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, The Hong Kong Polytechnic University, Kowloon, Hong Kong","institution_ids":["https://openalex.org/I14243506"]},{"raw_affiliation_string":"School of Operations Research and Management Science, Qufu Normal University, Rizhao Shandong, 276800, China","institution_ids":["https://openalex.org/I202126657"]},{"raw_affiliation_string":"Qufu Normal University","institution_ids":["https://openalex.org/I202126657"]},{"raw_affiliation_string":"The Hong Kong Polytechnic University","institution_ids":["https://openalex.org/I14243506"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5089105551","display_name":"Chuanliang Xu","orcid":null},"institutions":[{"id":"https://openalex.org/I4210097707","display_name":"People\u2019s Hospital of Rizhao","ror":"https://ror.org/00w7jwe49","country_code":"CN","type":"healthcare","lineage":["https://openalex.org/I4210097707"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Chuanliang Xu","raw_affiliation_strings":["Rizhao Vocational and Technical College, Rizhao Shandong, 276800, China","Rizhao Vocational and Technical College"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Rizhao Vocational and Technical College, Rizhao Shandong, 276800, China","institution_ids":["https://openalex.org/I4210097707"]},{"raw_affiliation_string":"Rizhao Vocational and Technical College","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5102011650"],"corresponding_institution_ids":["https://openalex.org/I74485261"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":2.5436,"has_fulltext":false,"cited_by_count":136,"citation_normalized_percentile":{"value":0.88121354,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":96,"max":100},"biblio":{"volume":"66","issue":"1","first_page":"33","last_page":"46"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9979000091552734,"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"}},"topics":[{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9979000091552734,"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/T10545","display_name":"Optimization and Variational Analysis","score":0.9832000136375427,"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/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":0.9830999970436096,"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/monotone-polygon","display_name":"Monotone polygon","score":0.7937408685684204},{"id":"https://openalex.org/keywords/projection","display_name":"Projection (relational algebra)","score":0.6705495119094849},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6677475571632385},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6524317264556885},{"id":"https://openalex.org/keywords/projection-method","display_name":"Projection method","score":0.6521228551864624},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.6189568042755127},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6053603291511536},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.5988749861717224},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5384352803230286},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5255754590034485},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.4383414089679718},{"id":"https://openalex.org/keywords/dykstras-projection-algorithm","display_name":"Dykstra's projection algorithm","score":0.3910468518733978},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.33006808161735535},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.22972756624221802},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.06034761667251587}],"concepts":[{"id":"https://openalex.org/C2834757","wikidata":"https://www.wikidata.org/wiki/Q4925424","display_name":"Monotone polygon","level":2,"score":0.7937408685684204},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.6705495119094849},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6677475571632385},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6524317264556885},{"id":"https://openalex.org/C65557600","wikidata":"https://www.wikidata.org/wiki/Q7249451","display_name":"Projection method","level":3,"score":0.6521228551864624},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.6189568042755127},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6053603291511536},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.5988749861717224},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5384352803230286},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5255754590034485},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.4383414089679718},{"id":"https://openalex.org/C202426404","wikidata":"https://www.wikidata.org/wiki/Q5318686","display_name":"Dykstra's projection algorithm","level":2,"score":0.3910468518733978},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.33006808161735535},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.22972756624221802},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.06034761667251587},{"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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.0},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s00186-006-0140-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00186-006-0140-y","pdf_url":null,"source":{"id":"https://openalex.org/S126160977","display_name":"Mathematical Methods of Operations Research","issn_l":"1432-2994","issn":["1432-2994","1432-5217"],"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 Methods of Operations Research","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:spr:compst:v:66:y:2007:i:1:p:33-46","is_oa":false,"landing_page_url":"http://hdl.handle.net/10.1007/s00186-006-0140-y","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":"","raw_type":"article"},{"id":"pmh:oai:ira.lib.polyu.edu.hk:10397/20877","is_oa":false,"landing_page_url":"http://hdl.handle.net/10397/20877","pdf_url":null,"source":{"id":"https://openalex.org/S4306400205","display_name":"PolyU Institutional Research Archive (Hong Kong Polytechnic University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I14243506","host_organization_name":"Hong Kong Polytechnic University","host_organization_lineage":["https://openalex.org/I14243506"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Journal/Magazine Article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W19621769","https://openalex.org/W65560571","https://openalex.org/W106246290","https://openalex.org/W635755880","https://openalex.org/W1975253701","https://openalex.org/W1981705610","https://openalex.org/W1982391474","https://openalex.org/W1997671037","https://openalex.org/W2018794399","https://openalex.org/W2046526480","https://openalex.org/W2051083260","https://openalex.org/W2065121429","https://openalex.org/W2088806118","https://openalex.org/W2098132613","https://openalex.org/W2121625938","https://openalex.org/W2152119413","https://openalex.org/W2186467072","https://openalex.org/W2896002309","https://openalex.org/W4205236922"],"related_works":["https://openalex.org/W2389185103","https://openalex.org/W2049029507","https://openalex.org/W2004437132","https://openalex.org/W1993770029","https://openalex.org/W2082741444","https://openalex.org/W774881382","https://openalex.org/W2393270639","https://openalex.org/W2026885703","https://openalex.org/W2774026033","https://openalex.org/W2033390858"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":14},{"year":2024,"cited_by_count":19},{"year":2023,"cited_by_count":13},{"year":2022,"cited_by_count":13},{"year":2021,"cited_by_count":14},{"year":2020,"cited_by_count":17},{"year":2019,"cited_by_count":6},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":7},{"year":2014,"cited_by_count":6},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":3}],"updated_date":"2026-06-19T15:47:20.252518","created_date":"2025-10-10T00:00:00"}