{"id":"https://openalex.org/W3157371857","doi":"https://doi.org/10.1007/s11075-021-01119-4","title":"A subgradient proximal method for solving a class of monotone multivalued variational inequality problems","display_name":"A subgradient proximal method for solving a class of monotone multivalued variational inequality problems","publication_year":2021,"publication_date":"2021-05-06","ids":{"openalex":"https://openalex.org/W3157371857","doi":"https://doi.org/10.1007/s11075-021-01119-4","mag":"3157371857"},"language":"en","primary_location":{"id":"doi:10.1007/s11075-021-01119-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-021-01119-4","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/A5038398051","display_name":"Ph\u1ea1m Ng\u1ecdc \u00c1nh","orcid":"https://orcid.org/0000-0003-3187-4993"},"institutions":[{"id":"https://openalex.org/I4210095603","display_name":"Vietnam Posts and Telecommunications Group (Vietnam)","ror":"https://ror.org/00q0e7f94","country_code":"VN","type":"company","lineage":["https://openalex.org/I4210095603"]},{"id":"https://openalex.org/I4400600977","display_name":"Posts and Telecommunications Institute of Technology","ror":"https://ror.org/0363rtq22","country_code":null,"type":"education","lineage":["https://openalex.org/I4400600977"]}],"countries":["VN"],"is_corresponding":true,"raw_author_name":"P.N. Anh","raw_affiliation_strings":["Posts and Telecommunications Institute of Technology, Hanoi, Vietnam"],"raw_orcid":"https://orcid.org/0000-0003-3187-4993","affiliations":[{"raw_affiliation_string":"Posts and Telecommunications Institute of Technology, Hanoi, Vietnam","institution_ids":["https://openalex.org/I4210095603","https://openalex.org/I4400600977"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5062245312","display_name":"Tr\u1ea7n V\u0103n Th\u1eafng","orcid":"https://orcid.org/0000-0003-1679-600X"},"institutions":[{"id":"https://openalex.org/I121799043","display_name":"Electric Power University","ror":"https://ror.org/01p4b7n26","country_code":"VN","type":"education","lineage":["https://openalex.org/I121799043"]}],"countries":["VN"],"is_corresponding":false,"raw_author_name":"T.V. Thang","raw_affiliation_strings":["Electric Power University, Hanoi, Vietnam"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Electric Power University, Hanoi, Vietnam","institution_ids":["https://openalex.org/I121799043"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5007439156","display_name":"H. T. C. Thach","orcid":null},"institutions":[{"id":"https://openalex.org/I4210138918","display_name":"University Of Transport Technology","ror":"https://ror.org/04dp8y877","country_code":"VN","type":"education","lineage":["https://openalex.org/I4210138918"]}],"countries":["VN"],"is_corresponding":false,"raw_author_name":"H.T.C. Thach","raw_affiliation_strings":["University of Transport Technology, Hanoi, Vietnam"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Transport Technology, Hanoi, Vietnam","institution_ids":["https://openalex.org/I4210138918"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5038398051"],"corresponding_institution_ids":["https://openalex.org/I4210095603","https://openalex.org/I4400600977"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":1.0599,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.80094688,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"89","issue":"1","first_page":"409","last_page":"430"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9879000186920166,"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/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9715999960899353,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/subgradient-method","display_name":"Subgradient method","score":0.8756403923034668},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8538410067558289},{"id":"https://openalex.org/keywords/variational-inequality","display_name":"Variational inequality","score":0.8473944664001465},{"id":"https://openalex.org/keywords/monotone-polygon","display_name":"Monotone polygon","score":0.6764940619468689},{"id":"https://openalex.org/keywords/lipschitz-continuity","display_name":"Lipschitz continuity","score":0.6743870973587036},{"id":"https://openalex.org/keywords/proximal-gradient-methods","display_name":"Proximal Gradient Methods","score":0.6276350021362305},{"id":"https://openalex.org/keywords/strongly-monotone","display_name":"Strongly monotone","score":0.5880165696144104},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.5740149021148682},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5408170819282532},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.48924899101257324},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4625619649887085},{"id":"https://openalex.org/keywords/monotonic-function","display_name":"Monotonic function","score":0.4543839693069458},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.41395461559295654},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.38516008853912354},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.217328280210495},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.20656999945640564}],"concepts":[{"id":"https://openalex.org/C158968445","wikidata":"https://www.wikidata.org/wiki/Q7631150","display_name":"Subgradient method","level":2,"score":0.8756403923034668},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8538410067558289},{"id":"https://openalex.org/C161999928","wikidata":"https://www.wikidata.org/wiki/Q4556320","display_name":"Variational inequality","level":2,"score":0.8473944664001465},{"id":"https://openalex.org/C2834757","wikidata":"https://www.wikidata.org/wiki/Q4925424","display_name":"Monotone polygon","level":2,"score":0.6764940619468689},{"id":"https://openalex.org/C22324862","wikidata":"https://www.wikidata.org/wiki/Q652707","display_name":"Lipschitz continuity","level":2,"score":0.6743870973587036},{"id":"https://openalex.org/C10494615","wikidata":"https://www.wikidata.org/wiki/Q17086765","display_name":"Proximal Gradient Methods","level":4,"score":0.6276350021362305},{"id":"https://openalex.org/C12715386","wikidata":"https://www.wikidata.org/wiki/Q7624691","display_name":"Strongly monotone","level":3,"score":0.5880165696144104},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.5740149021148682},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5408170819282532},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.48924899101257324},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4625619649887085},{"id":"https://openalex.org/C72169020","wikidata":"https://www.wikidata.org/wiki/Q194404","display_name":"Monotonic function","level":2,"score":0.4543839693069458},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.41395461559295654},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.38516008853912354},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.217328280210495},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.20656999945640564},{"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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11075-021-01119-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-021-01119-4","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":[{"score":0.49000000953674316,"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":48,"referenced_works":["https://openalex.org/W164353831","https://openalex.org/W172815151","https://openalex.org/W602911405","https://openalex.org/W631421241","https://openalex.org/W1481730903","https://openalex.org/W1519983590","https://openalex.org/W1524324710","https://openalex.org/W1549123916","https://openalex.org/W1551877617","https://openalex.org/W1586763984","https://openalex.org/W1953994949","https://openalex.org/W1967077838","https://openalex.org/W1968610601","https://openalex.org/W1979587748","https://openalex.org/W1980487211","https://openalex.org/W1981672261","https://openalex.org/W1989775297","https://openalex.org/W1994910078","https://openalex.org/W1998544309","https://openalex.org/W2005587970","https://openalex.org/W2005987739","https://openalex.org/W2020600211","https://openalex.org/W2032706465","https://openalex.org/W2035881469","https://openalex.org/W2051816737","https://openalex.org/W2052769657","https://openalex.org/W2065121429","https://openalex.org/W2067887490","https://openalex.org/W2072536590","https://openalex.org/W2075226379","https://openalex.org/W2075476505","https://openalex.org/W2093120464","https://openalex.org/W2093666130","https://openalex.org/W2104243281","https://openalex.org/W2226209104","https://openalex.org/W2516732819","https://openalex.org/W2588021332","https://openalex.org/W2763081248","https://openalex.org/W2891266538","https://openalex.org/W2922148390","https://openalex.org/W2933689882","https://openalex.org/W2950866122","https://openalex.org/W2962762987","https://openalex.org/W2985272081","https://openalex.org/W2997401677","https://openalex.org/W3101497372","https://openalex.org/W4285719527","https://openalex.org/W4298358184"],"related_works":["https://openalex.org/W2973499897","https://openalex.org/W3080884585","https://openalex.org/W2755725405","https://openalex.org/W2893600403","https://openalex.org/W2904899490","https://openalex.org/W3092799676","https://openalex.org/W2953323691","https://openalex.org/W2949322426","https://openalex.org/W4206383538","https://openalex.org/W4389675588"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
