{"id":"https://openalex.org/W4413249859","doi":"https://doi.org/10.1007/s40314-025-03370-0","title":"Directional Levitin\u2013Polyak well-posedness for optimization problems and variational inequalities","display_name":"Directional Levitin\u2013Polyak well-posedness for optimization problems and variational inequalities","publication_year":2025,"publication_date":"2025-08-08","ids":{"openalex":"https://openalex.org/W4413249859","doi":"https://doi.org/10.1007/s40314-025-03370-0"},"language":"en","primary_location":{"id":"doi:10.1007/s40314-025-03370-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s40314-025-03370-0","pdf_url":null,"source":{"id":"https://openalex.org/S4210195884","display_name":"Computational and Applied Mathematics","issn_l":"1807-0302","issn":["1807-0302","2238-3603"],"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":"Computational and Applied 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/A5052482625","display_name":"Do Sang Kim","orcid":"https://orcid.org/0000-0003-4191-2295"},"institutions":[{"id":"https://openalex.org/I8991828","display_name":"Pukyong National University","ror":"https://ror.org/0433kqc49","country_code":"KR","type":"education","lineage":["https://openalex.org/I8991828"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"Do Sang Kim","raw_affiliation_strings":["Department of Applied Mathematics, Pukyong National University, Busan, 48513, Republic of Korea"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, Pukyong National University, Busan, 48513, Republic of Korea","institution_ids":["https://openalex.org/I8991828"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5081610587","display_name":"Kwan Deok Bae","orcid":null},"institutions":[{"id":"https://openalex.org/I8991828","display_name":"Pukyong National University","ror":"https://ror.org/0433kqc49","country_code":"KR","type":"education","lineage":["https://openalex.org/I8991828"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"Kwan Deok Bae","raw_affiliation_strings":["Department of Applied Mathematics, Pukyong National University, Busan, 48513, Republic of Korea"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, Pukyong National University, Busan, 48513, Republic of Korea","institution_ids":["https://openalex.org/I8991828"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5076992143","display_name":"Vo Si Trong Long","orcid":"https://orcid.org/0000-0002-4781-1674"},"institutions":[{"id":"https://openalex.org/I23582244","display_name":"Ho Chi Minh City University of Science","ror":"https://ror.org/05jfbgm49","country_code":"VN","type":"education","lineage":["https://openalex.org/I123565023","https://openalex.org/I23582244"]},{"id":"https://openalex.org/I123565023","display_name":"Vietnam National University Ho Chi Minh City","ror":"https://ror.org/00waaqh38","country_code":"VN","type":"education","lineage":["https://openalex.org/I123565023"]}],"countries":["VN"],"is_corresponding":true,"raw_author_name":"Vo Si Trong Long","raw_affiliation_strings":["Faculty of Mathematics and Computer Science, University of Science, Ho Chi Minh City, Vietnam","Vietnam National University, Ho Chi Minh City, Vietnam"],"affiliations":[{"raw_affiliation_string":"Faculty of Mathematics and Computer Science, University of Science, Ho Chi Minh City, Vietnam","institution_ids":["https://openalex.org/I23582244"]},{"raw_affiliation_string":"Vietnam National University, Ho Chi Minh City, Vietnam","institution_ids":["https://openalex.org/I123565023"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5076992143"],"corresponding_institution_ids":["https://openalex.org/I123565023","https://openalex.org/I23582244"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.22924434,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"44","issue":"8","first_page":null,"last_page":null},"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/T11205","display_name":"Numerical methods in inverse problems","score":0.996399998664856,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T11115","display_name":"Topology Optimization in Engineering","score":0.9962000250816345,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural Engineering"},"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/inequality","display_name":"Inequality","score":0.567122757434845},{"id":"https://openalex.org/keywords/variational-inequality","display_name":"Variational inequality","score":0.5343016982078552},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4165727198123932},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4141022264957428},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3966425061225891},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3444440960884094},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.19617599248886108}],"concepts":[{"id":"https://openalex.org/C45555294","wikidata":"https://www.wikidata.org/wiki/Q28113351","display_name":"Inequality","level":2,"score":0.567122757434845},{"id":"https://openalex.org/C161999928","wikidata":"https://www.wikidata.org/wiki/Q4556320","display_name":"Variational inequality","level":2,"score":0.5343016982078552},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4165727198123932},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4141022264957428},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3966425061225891},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3444440960884094},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.19617599248886108}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s40314-025-03370-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s40314-025-03370-0","pdf_url":null,"source":{"id":"https://openalex.org/S4210195884","display_name":"Computational and Applied Mathematics","issn_l":"1807-0302","issn":["1807-0302","2238-3603"],"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":"Computational and Applied Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","score":0.5799999833106995,"display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":44,"referenced_works":["https://openalex.org/W345014192","https://openalex.org/W1527062801","https://openalex.org/W1977750299","https://openalex.org/W1994672829","https://openalex.org/W1994883751","https://openalex.org/W1999187218","https://openalex.org/W2003291661","https://openalex.org/W2008263116","https://openalex.org/W2014969042","https://openalex.org/W2015943301","https://openalex.org/W2020583457","https://openalex.org/W2020815709","https://openalex.org/W2033635946","https://openalex.org/W2035138741","https://openalex.org/W2039033803","https://openalex.org/W2053929936","https://openalex.org/W2066551529","https://openalex.org/W2077296024","https://openalex.org/W2078068790","https://openalex.org/W2083486495","https://openalex.org/W2084328130","https://openalex.org/W2092223234","https://openalex.org/W2093074345","https://openalex.org/W2093591383","https://openalex.org/W2093955234","https://openalex.org/W2111468535","https://openalex.org/W2113980920","https://openalex.org/W2271669236","https://openalex.org/W2477401186","https://openalex.org/W2666555240","https://openalex.org/W2913362662","https://openalex.org/W2955811159","https://openalex.org/W2964348151","https://openalex.org/W3020677235","https://openalex.org/W3120574439","https://openalex.org/W3124827003","https://openalex.org/W3191040197","https://openalex.org/W3212850445","https://openalex.org/W4206111119","https://openalex.org/W4236982695","https://openalex.org/W4280525273","https://openalex.org/W4293775970","https://openalex.org/W4319335098","https://openalex.org/W4383673580"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027","https://openalex.org/W2962838298","https://openalex.org/W2600246793"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-12-28T23:10:05.387466","created_date":"2025-10-10T00:00:00"}