{"id":"https://openalex.org/W4307572892","doi":"https://doi.org/10.1007/s10898-022-01250-z","title":"Some saddle-point theorems for vector-valued functions","display_name":"Some saddle-point theorems for vector-valued functions","publication_year":2022,"publication_date":"2022-10-26","ids":{"openalex":"https://openalex.org/W4307572892","doi":"https://doi.org/10.1007/s10898-022-01250-z"},"language":"en","primary_location":{"id":"doi:10.1007/s10898-022-01250-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10898-022-01250-z","pdf_url":null,"source":{"id":"https://openalex.org/S115925768","display_name":"Journal of Global Optimization","issn_l":"0925-5001","issn":["0925-5001","1573-2916"],"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 Global Optimization","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/A5010307491","display_name":"Nguy\u1ec5n Xu\u00e2n H\u1ea3i","orcid":"https://orcid.org/0000-0002-2768-6503"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Nguyen Xuan Hai","raw_affiliation_strings":["Department of Scientific Fundamentals, Posts and Telecommunications Institute of Technology, Ho Chi Minh City, Vietnam"],"affiliations":[{"raw_affiliation_string":"Department of Scientific Fundamentals, Posts and Telecommunications Institute of Technology, Ho Chi Minh City, Vietnam","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5089584186","display_name":"H\u1ed3ng Qu\u00e2n Nguy\u1ec5n","orcid":"https://orcid.org/0000-0001-7685-8191"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Nguyen Hong Quan","raw_affiliation_strings":["Department of Scientific Fundamentals, Posts and Telecommunications Institute of Technology, Ho Chi Minh City, Vietnam"],"affiliations":[{"raw_affiliation_string":"Department of Scientific Fundamentals, Posts and Telecommunications Institute of Technology, Ho Chi Minh City, Vietnam","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5000269339","display_name":"Vo Viet Tri","orcid":"https://orcid.org/0000-0002-9775-8007"},"institutions":[{"id":"https://openalex.org/I4391012539","display_name":"Thu Dau Mot University","ror":"https://ror.org/010y5b925","country_code":null,"type":"education","lineage":["https://openalex.org/I4391012539"]},{"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":true,"raw_author_name":"Vo Viet Tri","raw_affiliation_strings":["Division of Applied Mathematics, Thu Dau Mot University, Thu Dau Mot City, Binh Duong, Vietnam"],"affiliations":[{"raw_affiliation_string":"Division of Applied Mathematics, Thu Dau Mot University, Thu Dau Mot City, Binh Duong, Vietnam","institution_ids":["https://openalex.org/I4210101969","https://openalex.org/I4391012539"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5000269339"],"corresponding_institution_ids":["https://openalex.org/I4210101969","https://openalex.org/I4391012539"],"apc_list":{"value":2190,"currency":"EUR","value_usd":2780},"apc_paid":null,"fwci":0.1504,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.51392849,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"86","issue":"1","first_page":"141","last_page":"161"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9997000098228455,"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":0.9997000098228455,"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":0.9976999759674072,"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/T11115","display_name":"Topology Optimization in Engineering","score":0.9973000288009644,"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/mathematics","display_name":"Mathematics","score":0.8995552062988281},{"id":"https://openalex.org/keywords/convexity","display_name":"Convexity","score":0.7919670343399048},{"id":"https://openalex.org/keywords/saddle-point","display_name":"Saddle point","score":0.7490402460098267},{"id":"https://openalex.org/keywords/saddle","display_name":"Saddle","score":0.6414362192153931},{"id":"https://openalex.org/keywords/vector-space","display_name":"Vector space","score":0.5414273142814636},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4870920181274414},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.474893718957901},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.46522781252861023},{"id":"https://openalex.org/keywords/ordered-vector-space","display_name":"Ordered vector space","score":0.45670270919799805},{"id":"https://openalex.org/keywords/vector-valued-function","display_name":"Vector-valued function","score":0.45318078994750977},{"id":"https://openalex.org/keywords/topological-vector-space","display_name":"Topological vector space","score":0.4287988245487213},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.40525656938552856},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.347297340631485},{"id":"https://openalex.org/keywords/topological-space","display_name":"Topological space","score":0.25987425446510315},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.17386725544929504},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1496693193912506},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.1493610441684723},{"id":"https://openalex.org/keywords/interpolation-space","display_name":"Interpolation space","score":0.06707960367202759},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.05725681781768799}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8995552062988281},{"id":"https://openalex.org/C72134830","wikidata":"https://www.wikidata.org/wiki/Q5166524","display_name":"Convexity","level":2,"score":0.7919670343399048},{"id":"https://openalex.org/C2681867","wikidata":"https://www.wikidata.org/wiki/Q690935","display_name":"Saddle point","level":2,"score":0.7490402460098267},{"id":"https://openalex.org/C2777127463","wikidata":"https://www.wikidata.org/wiki/Q10862618","display_name":"Saddle","level":2,"score":0.6414362192153931},{"id":"https://openalex.org/C13336665","wikidata":"https://www.wikidata.org/wiki/Q125977","display_name":"Vector space","level":2,"score":0.5414273142814636},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4870920181274414},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.474893718957901},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.46522781252861023},{"id":"https://openalex.org/C113837420","wikidata":"https://www.wikidata.org/wiki/Q1503340","display_name":"Ordered vector space","level":5,"score":0.45670270919799805},{"id":"https://openalex.org/C2456702","wikidata":"https://www.wikidata.org/wiki/Q1375954","display_name":"Vector-valued function","level":2,"score":0.45318078994750977},{"id":"https://openalex.org/C47776270","wikidata":"https://www.wikidata.org/wiki/Q1455249","display_name":"Topological vector space","level":3,"score":0.4287988245487213},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.40525656938552856},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.347297340631485},{"id":"https://openalex.org/C81332173","wikidata":"https://www.wikidata.org/wiki/Q179899","display_name":"Topological space","level":2,"score":0.25987425446510315},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.17386725544929504},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1496693193912506},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.1493610441684723},{"id":"https://openalex.org/C6183050","wikidata":"https://www.wikidata.org/wiki/Q3058180","display_name":"Interpolation space","level":4,"score":0.06707960367202759},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.05725681781768799},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"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/C55112680","wikidata":"https://www.wikidata.org/wiki/Q190549","display_name":"Functional analysis","level":3,"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/C106159729","wikidata":"https://www.wikidata.org/wiki/Q2294553","display_name":"Financial economics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10898-022-01250-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10898-022-01250-z","pdf_url":null,"source":{"id":"https://openalex.org/S115925768","display_name":"Journal of Global Optimization","issn_l":"0925-5001","issn":["0925-5001","1573-2916"],"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 Global Optimization","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:spr:jglopt:v:86:y:2023:i:1:d:10.1007_s10898-022-01250-z","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s10898-022-01250-z","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":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W47742032","https://openalex.org/W50621378","https://openalex.org/W1963860934","https://openalex.org/W1983685008","https://openalex.org/W2001348424","https://openalex.org/W2003584206","https://openalex.org/W2005341901","https://openalex.org/W2007829500","https://openalex.org/W2020252434","https://openalex.org/W2020867778","https://openalex.org/W2043933562","https://openalex.org/W2051000168","https://openalex.org/W2068872980","https://openalex.org/W2139193591","https://openalex.org/W2141870784","https://openalex.org/W2142366677","https://openalex.org/W2143557390","https://openalex.org/W2161467711","https://openalex.org/W2245102656","https://openalex.org/W2558629288","https://openalex.org/W2772466363","https://openalex.org/W2791619682","https://openalex.org/W2947962845","https://openalex.org/W3096893611","https://openalex.org/W4249125060"],"related_works":["https://openalex.org/W123867279","https://openalex.org/W2204201083","https://openalex.org/W140339621","https://openalex.org/W2103424974","https://openalex.org/W3021148619","https://openalex.org/W2285933685","https://openalex.org/W4293832282","https://openalex.org/W3135430937","https://openalex.org/W2374594895","https://openalex.org/W251980417"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
