{"id":"https://openalex.org/W3209579226","doi":"https://doi.org/10.1007/s10957-021-01960-6","title":"Error Bounds of Regularized Gap Functions for Polynomial Variational Inequalities","display_name":"Error Bounds of Regularized Gap Functions for Polynomial Variational Inequalities","publication_year":2021,"publication_date":"2021-11-01","ids":{"openalex":"https://openalex.org/W3209579226","doi":"https://doi.org/10.1007/s10957-021-01960-6","mag":"3209579226"},"language":"en","primary_location":{"id":"doi:10.1007/s10957-021-01960-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10957-021-01960-6","pdf_url":null,"source":{"id":"https://openalex.org/S52430896","display_name":"Journal of Optimization Theory and Applications","issn_l":"0022-3239","issn":["0022-3239","1573-2878"],"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":"Journal of Optimization Theory and Applications","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/A5038471855","display_name":"Bui Van Dinh","orcid":"https://orcid.org/0000-0003-4158-4818"},"institutions":[{"id":"https://openalex.org/I131359167","display_name":"Le Quy Don Technical University","ror":"https://ror.org/04wgyjv21","country_code":"VN","type":"education","lineage":["https://openalex.org/I131359167"]},{"id":"https://openalex.org/I4210148301","display_name":"Institute of Mathematics","ror":"https://ror.org/04jr71r83","country_code":"VN","type":"facility","lineage":["https://openalex.org/I4210148301","https://openalex.org/I70349855"]},{"id":"https://openalex.org/I70349855","display_name":"Vietnam Academy of Science and Technology","ror":"https://ror.org/02wsd5p50","country_code":"VN","type":"government","lineage":["https://openalex.org/I70349855"]}],"countries":["VN"],"is_corresponding":true,"raw_author_name":"Bui Van Dinh","raw_affiliation_strings":["Department of Mathematics, Le Quy Don Technical University, Hanoi, Vietnam","Department of Optimization and Control Theory, Institue of Mathematics, VAST, Hanoi, Vietnam"],"raw_orcid":"https://orcid.org/0000-0003-4158-4818","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Le Quy Don Technical University, Hanoi, Vietnam","institution_ids":["https://openalex.org/I131359167"]},{"raw_affiliation_string":"Department of Optimization and Control Theory, Institue of Mathematics, VAST, Hanoi, Vietnam","institution_ids":["https://openalex.org/I4210148301","https://openalex.org/I70349855"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5060254053","display_name":"Ti\u1ebfn-S\u01a1n Ph\u1ea1m","orcid":"https://orcid.org/0000-0003-3368-304X"},"institutions":[{"id":"https://openalex.org/I4210101969","display_name":"Dalat University","ror":"https://ror.org/014cke235","country_code":"VN","type":"education","lineage":["https://openalex.org/I4210101969"]}],"countries":["VN"],"is_corresponding":false,"raw_author_name":"Tien-Son Pham","raw_affiliation_strings":["Department of Mathematics, Dalat University, 1 Phu Dong Thien Vuong, Dalat, Vietnam"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Dalat University, 1 Phu Dong Thien Vuong, Dalat, Vietnam","institution_ids":["https://openalex.org/I4210101969"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5038471855"],"corresponding_institution_ids":["https://openalex.org/I131359167","https://openalex.org/I4210148301","https://openalex.org/I70349855"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.3028,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.63405974,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":95},"biblio":{"volume":"192","issue":"1","first_page":"226","last_page":"247"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9966999888420105,"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":0.9966999888420105,"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/T12809","display_name":"Contact Mechanics and Variational Inequalities","score":0.9939000010490417,"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9929999709129333,"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/mathematics","display_name":"Mathematics","score":0.9077004194259644},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.7184672951698303},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.6461189985275269},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.6289049983024597},{"id":"https://openalex.org/keywords/variational-inequality","display_name":"Variational inequality","score":0.6013187766075134},{"id":"https://openalex.org/keywords/extension","display_name":"Extension (predicate logic)","score":0.6011276245117188},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.512645423412323},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4403865337371826},{"id":"https://openalex.org/keywords/degree-of-a-polynomial","display_name":"Degree of a polynomial","score":0.4200739860534668},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.37864869832992554},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.11144939064979553}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9077004194259644},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.7184672951698303},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.6461189985275269},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.6289049983024597},{"id":"https://openalex.org/C161999928","wikidata":"https://www.wikidata.org/wiki/Q4556320","display_name":"Variational inequality","level":2,"score":0.6013187766075134},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.6011276245117188},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.512645423412323},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4403865337371826},{"id":"https://openalex.org/C25878781","wikidata":"https://www.wikidata.org/wiki/Q1473607","display_name":"Degree of a polynomial","level":3,"score":0.4200739860534668},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.37864869832992554},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.11144939064979553},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10957-021-01960-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10957-021-01960-6","pdf_url":null,"source":{"id":"https://openalex.org/S52430896","display_name":"Journal of Optimization Theory and Applications","issn_l":"0022-3239","issn":["0022-3239","1573-2878"],"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":"Journal of Optimization Theory and Applications","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:spr:joptap:v:192:y:2022:i:1:d:10.1007_s10957-021-01960-6","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s10957-021-01960-6","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":null,"raw_type":"article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities","score":0.699999988079071}],"awards":[{"id":"https://openalex.org/G2084976818","display_name":null,"funder_award_id":"Grand 101.04-2019.302","funder_id":"https://openalex.org/F4320309617","funder_display_name":"National Foundation for Science and Technology Development"},{"id":"https://openalex.org/G5741229646","display_name":null,"funder_award_id":"(NAFOSTED) under grant number 4/2020/STS02","funder_id":"https://openalex.org/F4320309617","funder_display_name":"National Foundation for Science and Technology Development"},{"id":"https://openalex.org/G8016906963","display_name":null,"funder_award_id":"Grant Number DLTE00.01/ 21-22","funder_id":"https://openalex.org/F4320313223","funder_display_name":"Vietnam Academy of Science and Technology"}],"funders":[{"id":"https://openalex.org/F4320309617","display_name":"National Foundation for Science and Technology Development","ror":"https://ror.org/04rw64z44"},{"id":"https://openalex.org/F4320313223","display_name":"Vietnam Academy of Science and Technology","ror":"https://ror.org/02wsd5p50"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W217831350","https://openalex.org/W1539838732","https://openalex.org/W1543439990","https://openalex.org/W1551360398","https://openalex.org/W1892757353","https://openalex.org/W1948466936","https://openalex.org/W1970441758","https://openalex.org/W1972312845","https://openalex.org/W1977750299","https://openalex.org/W1985348591","https://openalex.org/W1995227244","https://openalex.org/W2000123997","https://openalex.org/W2000985550","https://openalex.org/W2015644192","https://openalex.org/W2035225137","https://openalex.org/W2037676515","https://openalex.org/W2056303209","https://openalex.org/W2060306378","https://openalex.org/W2071878201","https://openalex.org/W2093246563","https://openalex.org/W2094917659","https://openalex.org/W2098258381","https://openalex.org/W2132647582","https://openalex.org/W2557774354","https://openalex.org/W2726832051","https://openalex.org/W2887830515","https://openalex.org/W2962837673","https://openalex.org/W3157341860","https://openalex.org/W4231147659","https://openalex.org/W4247605649","https://openalex.org/W4249513058","https://openalex.org/W4299599836"],"related_works":["https://openalex.org/W3131922696","https://openalex.org/W4229662703","https://openalex.org/W2033468445","https://openalex.org/W43918835","https://openalex.org/W4324027757","https://openalex.org/W2093863472","https://openalex.org/W3205339240","https://openalex.org/W1485361582","https://openalex.org/W2039390386","https://openalex.org/W2388578968"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
