{"id":"https://openalex.org/W3194535292","doi":"https://doi.org/10.1007/s11590-021-01786-1","title":"Existence and generic stability conditions of equilibrium points to controlled systems for n-player multiobjective generalized games using the Kakutani\u2013Fan\u2013Glicksberg fixed-point theorem","display_name":"Existence and generic stability conditions of equilibrium points to controlled systems for n-player multiobjective generalized games using the Kakutani\u2013Fan\u2013Glicksberg fixed-point theorem","publication_year":2021,"publication_date":"2021-07-21","ids":{"openalex":"https://openalex.org/W3194535292","doi":"https://doi.org/10.1007/s11590-021-01786-1","mag":"3194535292"},"language":"en","primary_location":{"id":"doi:10.1007/s11590-021-01786-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11590-021-01786-1","pdf_url":null,"source":{"id":"https://openalex.org/S12647387","display_name":"Optimization Letters","issn_l":"1862-4472","issn":["1862-4472","1862-4480"],"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":"Optimization Letters","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/A5056931251","display_name":"Nguy\u1ec5n V\u0103n H\u00f9ng","orcid":"https://orcid.org/0000-0002-6123-1916"},"institutions":[{"id":"https://openalex.org/I4210111957","display_name":"B\u00ecnh D\u01b0\u01a1ng University","ror":"https://ror.org/02b9zqw68","country_code":"VN","type":"education","lineage":["https://openalex.org/I4210111957"]},{"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"]}],"countries":["VN"],"is_corresponding":true,"raw_author_name":"Nguyen Van Hung","raw_affiliation_strings":["Department of Scientific Fundamentals, Posts and Telecommunications Institute of Technology, Ho Chi Minh City, Vietnam","Faculty of Education, Thu Dau Mot University, Binh Duong Province, Vietnam"],"raw_orcid":"https://orcid.org/0000-0002-6123-1916","affiliations":[{"raw_affiliation_string":"Department of Scientific Fundamentals, Posts and Telecommunications Institute of Technology, Ho Chi Minh City, Vietnam","institution_ids":[]},{"raw_affiliation_string":"Faculty of Education, Thu Dau Mot University, Binh Duong Province, Vietnam","institution_ids":["https://openalex.org/I4210111957","https://openalex.org/I4391012539"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5037487445","display_name":"Andr\u00e9 A. Keller","orcid":"https://orcid.org/0000-0001-6000-8520"},"institutions":[{"id":"https://openalex.org/I51101395","display_name":"Universit\u00e9 Paris 1 Panth\u00e9on-Sorbonne","ror":"https://ror.org/002t25c44","country_code":"FR","type":"education","lineage":["https://openalex.org/I51101395"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Andr\u00e9 A. Keller","raw_affiliation_strings":["SAMM: Statistics, Analysis and Multidisciplinary Modeling (EA4543), University Paris 1 Panth\u00e9on Sorbonne, Paris, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"SAMM: Statistics, Analysis and Multidisciplinary Modeling (EA4543), University Paris 1 Panth\u00e9on Sorbonne, Paris, France","institution_ids":["https://openalex.org/I51101395"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5056931251"],"corresponding_institution_ids":["https://openalex.org/I4210111957","https://openalex.org/I4391012539"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":1.6655,"has_fulltext":false,"cited_by_count":16,"citation_normalized_percentile":{"value":0.86284202,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"16","issue":"5","first_page":"1477","last_page":"1493"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9991000294685364,"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":0.9991000294685364,"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/T11777","display_name":"Fixed Point Theorems Analysis","score":0.9800999760627747,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/T10541","display_name":"Nonlinear Differential Equations Analysis","score":0.9501000046730042,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7825977206230164},{"id":"https://openalex.org/keywords/fixed-point-theorem","display_name":"Fixed-point theorem","score":0.7432284355163574},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5574246644973755},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5540058612823486},{"id":"https://openalex.org/keywords/metric-space","display_name":"Metric space","score":0.5521702170372009},{"id":"https://openalex.org/keywords/fixed-point","display_name":"Fixed point","score":0.5199759602546692},{"id":"https://openalex.org/keywords/hausdorff-distance","display_name":"Hausdorff distance","score":0.5122224688529968},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5102384090423584},{"id":"https://openalex.org/keywords/kakutani-fixed-point-theorem","display_name":"Kakutani fixed-point theorem","score":0.4604094922542572},{"id":"https://openalex.org/keywords/hausdorff-space","display_name":"Hausdorff space","score":0.4582045078277588},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.43975064158439636},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3831290900707245},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3698972463607788},{"id":"https://openalex.org/keywords/brouwer-fixed-point-theorem","display_name":"Brouwer fixed-point theorem","score":0.30695194005966187},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.22933122515678406},{"id":"https://openalex.org/keywords/schauder-fixed-point-theorem","display_name":"Schauder fixed point theorem","score":0.1872846484184265},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.14889347553253174}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7825977206230164},{"id":"https://openalex.org/C45962547","wikidata":"https://www.wikidata.org/wiki/Q1422068","display_name":"Fixed-point theorem","level":2,"score":0.7432284355163574},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5574246644973755},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5540058612823486},{"id":"https://openalex.org/C198043062","wikidata":"https://www.wikidata.org/wiki/Q180953","display_name":"Metric space","level":2,"score":0.5521702170372009},{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.5199759602546692},{"id":"https://openalex.org/C141898687","wikidata":"https://www.wikidata.org/wiki/Q1501997","display_name":"Hausdorff distance","level":2,"score":0.5122224688529968},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5102384090423584},{"id":"https://openalex.org/C134618013","wikidata":"https://www.wikidata.org/wiki/Q518524","display_name":"Kakutani fixed-point theorem","level":5,"score":0.4604094922542572},{"id":"https://openalex.org/C191399826","wikidata":"https://www.wikidata.org/wiki/Q326908","display_name":"Hausdorff space","level":2,"score":0.4582045078277588},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.43975064158439636},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3831290900707245},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3698972463607788},{"id":"https://openalex.org/C146147875","wikidata":"https://www.wikidata.org/wiki/Q1144897","display_name":"Brouwer fixed-point theorem","level":3,"score":0.30695194005966187},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.22933122515678406},{"id":"https://openalex.org/C28642324","wikidata":"https://www.wikidata.org/wiki/Q656176","display_name":"Schauder fixed point theorem","level":4,"score":0.1872846484184265},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.14889347553253174},{"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/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11590-021-01786-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11590-021-01786-1","pdf_url":null,"source":{"id":"https://openalex.org/S12647387","display_name":"Optimization Letters","issn_l":"1862-4472","issn":["1862-4472","1862-4480"],"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":"Optimization Letters","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W50621378","https://openalex.org/W1484024929","https://openalex.org/W1964806038","https://openalex.org/W1966197351","https://openalex.org/W1977170118","https://openalex.org/W1982813377","https://openalex.org/W1983141032","https://openalex.org/W1983484213","https://openalex.org/W1988344178","https://openalex.org/W1989508615","https://openalex.org/W1990418452","https://openalex.org/W2021108548","https://openalex.org/W2023098454","https://openalex.org/W2053488431","https://openalex.org/W2059554608","https://openalex.org/W2060480538","https://openalex.org/W2084978310","https://openalex.org/W2531194477","https://openalex.org/W2595644070","https://openalex.org/W2672397859","https://openalex.org/W2760765579","https://openalex.org/W2804565623","https://openalex.org/W2984324157","https://openalex.org/W3097646846","https://openalex.org/W3125634883","https://openalex.org/W4312427629"],"related_works":["https://openalex.org/W3160581193","https://openalex.org/W1891709587","https://openalex.org/W4252045202","https://openalex.org/W2086713333","https://openalex.org/W2032701050","https://openalex.org/W2506139452","https://openalex.org/W561403299","https://openalex.org/W245785098","https://openalex.org/W2204596120","https://openalex.org/W2391238336"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
