{"id":"https://openalex.org/W2899625015","doi":"https://doi.org/10.1007/s11075-018-0626-8","title":"Some extragradient-viscosity algorithms for solving variational inequality problems and fixed point problems","display_name":"Some extragradient-viscosity algorithms for solving variational inequality problems and fixed point problems","publication_year":2018,"publication_date":"2018-11-05","ids":{"openalex":"https://openalex.org/W2899625015","doi":"https://doi.org/10.1007/s11075-018-0626-8","mag":"2899625015"},"language":"en","primary_location":{"id":"doi:10.1007/s11075-018-0626-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-018-0626-8","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":["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/A5006593053","display_name":"Duong Viet Thong","orcid":"https://orcid.org/0000-0003-1753-7237"},"institutions":[{"id":"https://openalex.org/I141445968","display_name":"Ton Duc Thang University","ror":"https://ror.org/01drq0835","country_code":"VN","type":"education","lineage":["https://openalex.org/I141445968"]}],"countries":["VN"],"is_corresponding":true,"raw_author_name":"Duong Viet Thong","raw_affiliation_strings":["Applied Analysis Research Group, Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City, Vietnam"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Applied Analysis Research Group, Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City, Vietnam","institution_ids":["https://openalex.org/I141445968"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5002646790","display_name":"Dang Van Hieu","orcid":"https://orcid.org/0000-0002-5195-1637"},"institutions":[{"id":"https://openalex.org/I12450925","display_name":"Nha Trang University","ror":"https://ror.org/047van922","country_code":"VN","type":"education","lineage":["https://openalex.org/I12450925"]}],"countries":["VN"],"is_corresponding":false,"raw_author_name":"Dang Van Hieu","raw_affiliation_strings":["Department of Mathematics, College of Air Force, Nha Trang, Vietnam"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, College of Air Force, Nha Trang, Vietnam","institution_ids":["https://openalex.org/I12450925"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5006593053"],"corresponding_institution_ids":["https://openalex.org/I141445968"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":3.0089,"has_fulltext":false,"cited_by_count":50,"citation_normalized_percentile":{"value":0.92571321,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":100},"biblio":{"volume":"82","issue":"3","first_page":"761","last_page":"789"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9998999834060669,"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":0.9998999834060669,"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/T11777","display_name":"Fixed Point Theorems Analysis","score":0.9922000169754028,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9921000003814697,"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/variational-inequality","display_name":"Variational inequality","score":0.8791123032569885},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8267970085144043},{"id":"https://openalex.org/keywords/lipschitz-continuity","display_name":"Lipschitz continuity","score":0.7218061685562134},{"id":"https://openalex.org/keywords/hilbert-space","display_name":"Hilbert space","score":0.7132923603057861},{"id":"https://openalex.org/keywords/fixed-point","display_name":"Fixed point","score":0.6760574579238892},{"id":"https://openalex.org/keywords/monotone-polygon","display_name":"Monotone polygon","score":0.6422567367553711},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.5784562826156616},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5723215341567993},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.5281272530555725},{"id":"https://openalex.org/keywords/strongly-monotone","display_name":"Strongly monotone","score":0.5209563970565796},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4608983099460602},{"id":"https://openalex.org/keywords/weak-convergence","display_name":"Weak convergence","score":0.4550503194332123},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.43365541100502014},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.41182172298431396},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3521040976047516},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.28581735491752625},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.21259194612503052},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.11854422092437744}],"concepts":[{"id":"https://openalex.org/C161999928","wikidata":"https://www.wikidata.org/wiki/Q4556320","display_name":"Variational inequality","level":2,"score":0.8791123032569885},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8267970085144043},{"id":"https://openalex.org/C22324862","wikidata":"https://www.wikidata.org/wiki/Q652707","display_name":"Lipschitz continuity","level":2,"score":0.7218061685562134},{"id":"https://openalex.org/C62799726","wikidata":"https://www.wikidata.org/wiki/Q190056","display_name":"Hilbert space","level":2,"score":0.7132923603057861},{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.6760574579238892},{"id":"https://openalex.org/C2834757","wikidata":"https://www.wikidata.org/wiki/Q4925424","display_name":"Monotone polygon","level":2,"score":0.6422567367553711},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.5784562826156616},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5723215341567993},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.5281272530555725},{"id":"https://openalex.org/C12715386","wikidata":"https://www.wikidata.org/wiki/Q7624691","display_name":"Strongly monotone","level":3,"score":0.5209563970565796},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4608983099460602},{"id":"https://openalex.org/C57945734","wikidata":"https://www.wikidata.org/wiki/Q7977941","display_name":"Weak convergence","level":3,"score":0.4550503194332123},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.43365541100502014},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.41182172298431396},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3521040976047516},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.28581735491752625},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.21259194612503052},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.11854422092437744},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"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/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"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/C76178495","wikidata":"https://www.wikidata.org/wiki/Q4808784","display_name":"Asset (computer security)","level":2,"score":0.0},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11075-018-0626-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-018-0626-8","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"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","score":0.5899999737739563,"display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":45,"referenced_works":["https://openalex.org/W93786226","https://openalex.org/W605736217","https://openalex.org/W977339556","https://openalex.org/W1488903562","https://openalex.org/W1519983590","https://openalex.org/W1597123448","https://openalex.org/W1876574230","https://openalex.org/W1976150918","https://openalex.org/W1978826935","https://openalex.org/W1990693845","https://openalex.org/W1991765628","https://openalex.org/W2005241777","https://openalex.org/W2015928709","https://openalex.org/W2020600211","https://openalex.org/W2029656726","https://openalex.org/W2029990009","https://openalex.org/W2030392655","https://openalex.org/W2035973668","https://openalex.org/W2052611235","https://openalex.org/W2055467852","https://openalex.org/W2065121429","https://openalex.org/W2069435104","https://openalex.org/W2069491950","https://openalex.org/W2070694134","https://openalex.org/W2078819283","https://openalex.org/W2085886182","https://openalex.org/W2099681657","https://openalex.org/W2102789047","https://openalex.org/W2132528752","https://openalex.org/W2134851358","https://openalex.org/W2182726851","https://openalex.org/W2319482836","https://openalex.org/W2443846959","https://openalex.org/W2528852883","https://openalex.org/W2564254774","https://openalex.org/W2751887966","https://openalex.org/W2752192881","https://openalex.org/W2755725405","https://openalex.org/W2771822444","https://openalex.org/W2794524333","https://openalex.org/W2800425429","https://openalex.org/W2950866122","https://openalex.org/W3101497372","https://openalex.org/W3122244759","https://openalex.org/W4231505475"],"related_works":["https://openalex.org/W4221091651","https://openalex.org/W3131922696","https://openalex.org/W2033468445","https://openalex.org/W43918835","https://openalex.org/W2093863472","https://openalex.org/W4324027757","https://openalex.org/W2010533010","https://openalex.org/W38377613","https://openalex.org/W2094957806","https://openalex.org/W2011881806"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":6},{"year":2025,"cited_by_count":7},{"year":2024,"cited_by_count":7},{"year":2023,"cited_by_count":8},{"year":2022,"cited_by_count":8},{"year":2021,"cited_by_count":8},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":5}],"updated_date":"2026-05-26T13:28:51.108037","created_date":"2025-10-10T00:00:00"}