{"id":"https://openalex.org/W3095550451","doi":"https://doi.org/10.1080/00207160.2020.1847279","title":"A simple fork algorithm for solving pseudomonotone non-Lipschitz variational inequalities","display_name":"A simple fork algorithm for solving pseudomonotone non-Lipschitz variational inequalities","publication_year":2020,"publication_date":"2020-11-06","ids":{"openalex":"https://openalex.org/W3095550451","doi":"https://doi.org/10.1080/00207160.2020.1847279","mag":"3095550451"},"language":"en","primary_location":{"id":"doi:10.1080/00207160.2020.1847279","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160.2020.1847279","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","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/A5081487349","display_name":"Trinh Ngoc Hai","orcid":"https://orcid.org/0000-0002-0221-4649"},"institutions":[{"id":"https://openalex.org/I94518387","display_name":"Hanoi University of Science and Technology","ror":"https://ror.org/04nyv3z04","country_code":"VN","type":"education","lineage":["https://openalex.org/I94518387"]}],"countries":["VN"],"is_corresponding":true,"raw_author_name":"Trinh Ngoc Hai","raw_affiliation_strings":["School of Applied Mathematics and Informatics, Hanoi University of Science and Technology, Hanoi, Vietnam"],"affiliations":[{"raw_affiliation_string":"School of Applied Mathematics and Informatics, Hanoi University of Science and Technology, Hanoi, Vietnam","institution_ids":["https://openalex.org/I94518387"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5081487349"],"corresponding_institution_ids":["https://openalex.org/I94518387"],"apc_list":null,"apc_paid":null,"fwci":0.2814,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.63249097,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"14"},"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9965000152587891,"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/T11502","display_name":"Facility Location and Emergency Management","score":0.9602000117301941,"subfield":{"id":"https://openalex.org/subfields/1407","display_name":"Organizational Behavior and Human Resource Management"},"field":{"id":"https://openalex.org/fields/14","display_name":"Business, Management and Accounting"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/variational-inequality","display_name":"Variational inequality","score":0.8041568994522095},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7794705629348755},{"id":"https://openalex.org/keywords/line-search","display_name":"Line search","score":0.74753338098526},{"id":"https://openalex.org/keywords/monotone-polygon","display_name":"Monotone polygon","score":0.6794971823692322},{"id":"https://openalex.org/keywords/lipschitz-continuity","display_name":"Lipschitz continuity","score":0.6462291479110718},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.6304476261138916},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5605301260948181},{"id":"https://openalex.org/keywords/line","display_name":"Line (geometry)","score":0.5241734981536865},{"id":"https://openalex.org/keywords/projection","display_name":"Projection (relational algebra)","score":0.4244343638420105},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3913809657096863},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.21373292803764343},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.15764302015304565},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.10106626152992249}],"concepts":[{"id":"https://openalex.org/C161999928","wikidata":"https://www.wikidata.org/wiki/Q4556320","display_name":"Variational inequality","level":2,"score":0.8041568994522095},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7794705629348755},{"id":"https://openalex.org/C85522705","wikidata":"https://www.wikidata.org/wiki/Q3278015","display_name":"Line search","level":3,"score":0.74753338098526},{"id":"https://openalex.org/C2834757","wikidata":"https://www.wikidata.org/wiki/Q4925424","display_name":"Monotone polygon","level":2,"score":0.6794971823692322},{"id":"https://openalex.org/C22324862","wikidata":"https://www.wikidata.org/wiki/Q652707","display_name":"Lipschitz continuity","level":2,"score":0.6462291479110718},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.6304476261138916},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5605301260948181},{"id":"https://openalex.org/C198352243","wikidata":"https://www.wikidata.org/wiki/Q37105","display_name":"Line (geometry)","level":2,"score":0.5241734981536865},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.4244343638420105},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3913809657096863},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.21373292803764343},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.15764302015304565},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.10106626152992249},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C178635117","wikidata":"https://www.wikidata.org/wiki/Q747499","display_name":"RADIUS","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:10.1080/00207160.2020.1847279","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160.2020.1847279","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Reduced inequalities","score":0.4300000071525574,"id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":33,"referenced_works":["https://openalex.org/W977339556","https://openalex.org/W1516681311","https://openalex.org/W1543439990","https://openalex.org/W1592274643","https://openalex.org/W1978826935","https://openalex.org/W1984928900","https://openalex.org/W1991765628","https://openalex.org/W1994943929","https://openalex.org/W1996731061","https://openalex.org/W2021549982","https://openalex.org/W2040322280","https://openalex.org/W2049895746","https://openalex.org/W2065121429","https://openalex.org/W2085346899","https://openalex.org/W2086254189","https://openalex.org/W2092467355","https://openalex.org/W2094548886","https://openalex.org/W2150102724","https://openalex.org/W2159632552","https://openalex.org/W2476275574","https://openalex.org/W2532880535","https://openalex.org/W2560360755","https://openalex.org/W2578324634","https://openalex.org/W2740739160","https://openalex.org/W2764267352","https://openalex.org/W2886872947","https://openalex.org/W2938927801","https://openalex.org/W2950866122","https://openalex.org/W2986665459","https://openalex.org/W3015556107","https://openalex.org/W3041390714","https://openalex.org/W3101497372","https://openalex.org/W4376848250"],"related_works":["https://openalex.org/W3185235544","https://openalex.org/W2911623553","https://openalex.org/W4297791327","https://openalex.org/W2085771669","https://openalex.org/W4221091651","https://openalex.org/W2383497899","https://openalex.org/W1516525943","https://openalex.org/W3135391181","https://openalex.org/W2094666307","https://openalex.org/W4361305142"],"abstract_inverted_index":{"We":[0],"introduce":[1],"a":[2],"new":[3,18,58],"algorithm,":[4],"improved":[5],"from":[6],"the":[7,38,45,57],"Armijo":[8],"line":[9,46],"search":[10,47],"one":[11],"[M.V.":[12],"Solodov":[13],"and":[14],"B.F.":[15],"Svaiter,":[16],"A":[17],"projection":[19],"method":[20],"for":[21],"monotone":[22],"variational":[23],"inequality":[24],"problems,":[25],"SIAM":[26],"J.":[27],"Control":[28],"Optim.":[29],"37":[30],"(1999),":[31],"pp.":[32],"765\u2013776].":[33],"Our":[34,52],"algorithm":[35,59],"converges":[36],"under":[37],"same":[39],"assumption":[40],"but":[41],"does":[42],"not":[43],"use":[44],"procedure":[48],"in":[49],"its":[50],"steps.":[51],"numerical":[53],"experiments":[54],"show":[55],"that":[56],"is":[60],"more":[61],"effective":[62],"than":[63],"some":[64],"existing":[65],"ones.":[66]},"counts_by_year":[{"year":2022,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}