{"id":"https://openalex.org/W2800865303","doi":"https://doi.org/10.1007/s11590-018-1264-8","title":"Continuity of approximate solution maps of primal and dual vector equilibrium problems","display_name":"Continuity of approximate solution maps of primal and dual vector equilibrium problems","publication_year":2018,"publication_date":"2018-04-23","ids":{"openalex":"https://openalex.org/W2800865303","doi":"https://doi.org/10.1007/s11590-018-1264-8","mag":"2800865303"},"language":"en","primary_location":{"id":"doi:10.1007/s11590-018-1264-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11590-018-1264-8","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/A5112022963","display_name":"L\u00e2m Qu\u1ed1c Anh","orcid":null},"institutions":[{"id":"https://openalex.org/I177733328","display_name":"Can Tho University","ror":"https://ror.org/0071qz696","country_code":"VN","type":"education","lineage":["https://openalex.org/I177733328"]}],"countries":["VN"],"is_corresponding":false,"raw_author_name":"L. Q. Anh","raw_affiliation_strings":["Department of Mathematics, Teacher College, Cantho University, Cantho, Vietnam"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Teacher College, Cantho University, Cantho, Vietnam","institution_ids":["https://openalex.org/I177733328"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5059731357","display_name":"Phan Qu\u1ed1c Kh\u00e1nh","orcid":"https://orcid.org/0000-0002-0524-0498"},"institutions":[{"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":false,"raw_author_name":"P. Q. Khanh","raw_affiliation_strings":["Department of Mathematics, International University, Vietnam National University Hochiminh City, Hochiminh City, Vietnam"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, International University, Vietnam National University Hochiminh City, Hochiminh City, Vietnam","institution_ids":["https://openalex.org/I123565023"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5038216957","display_name":"Tran Ngoc Tam","orcid":null},"institutions":[{"id":"https://openalex.org/I141445968","display_name":"Ton Duc Thang University","ror":"https://ror.org/01drq0835","country_code":"VN","type":"education","lineage":["https://openalex.org/I141445968"]}],"countries":["VN"],"is_corresponding":true,"raw_author_name":"T. N. Tam","raw_affiliation_strings":["Division of Computational Mathematics and Engineering, Institute for Computational Science, Ton Duc Thang University, Ho Chi Minh City, Vietnam","Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City, Vietnam"],"affiliations":[{"raw_affiliation_string":"Division of Computational Mathematics and Engineering, Institute for Computational Science, Ton Duc Thang University, Ho Chi Minh City, Vietnam","institution_ids":["https://openalex.org/I141445968"]},{"raw_affiliation_string":"Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City, Vietnam","institution_ids":["https://openalex.org/I141445968"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5038216957"],"corresponding_institution_ids":["https://openalex.org/I141445968"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":1.0665,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.79062759,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"13","issue":"1","first_page":"201","last_page":"211"},"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/T11777","display_name":"Fixed Point Theorems Analysis","score":0.9991000294685364,"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/T12137","display_name":"Economic theories and models","score":0.9950000047683716,"subfield":{"id":"https://openalex.org/subfields/2002","display_name":"Economics and Econometrics"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/hausdorff-space","display_name":"Hausdorff space","score":0.8720778226852417},{"id":"https://openalex.org/keywords/dual","display_name":"Dual (grammatical number)","score":0.6545842885971069},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.653411865234375},{"id":"https://openalex.org/keywords/locally-convex-topological-vector-space","display_name":"Locally convex topological vector space","score":0.6133270263671875},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.5649160146713257},{"id":"https://openalex.org/keywords/computational-intelligence","display_name":"Computational intelligence","score":0.5645102262496948},{"id":"https://openalex.org/keywords/dual-space","display_name":"Dual space","score":0.5635510683059692},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5134666562080383},{"id":"https://openalex.org/keywords/dual-pair","display_name":"Dual pair","score":0.49156174063682556},{"id":"https://openalex.org/keywords/hausdorff-distance","display_name":"Hausdorff distance","score":0.45631206035614014},{"id":"https://openalex.org/keywords/vector-space","display_name":"Vector space","score":0.411957323551178},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.375682532787323},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3479840159416199},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.27786126732826233},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.26800626516342163},{"id":"https://openalex.org/keywords/topological-tensor-product","display_name":"Topological tensor product","score":0.15924039483070374},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1089039146900177},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.07706183195114136}],"concepts":[{"id":"https://openalex.org/C191399826","wikidata":"https://www.wikidata.org/wiki/Q326908","display_name":"Hausdorff space","level":2,"score":0.8720778226852417},{"id":"https://openalex.org/C2780980858","wikidata":"https://www.wikidata.org/wiki/Q110022","display_name":"Dual (grammatical number)","level":2,"score":0.6545842885971069},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.653411865234375},{"id":"https://openalex.org/C58228006","wikidata":"https://www.wikidata.org/wiki/Q1572357","display_name":"Locally convex topological vector space","level":3,"score":0.6133270263671875},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.5649160146713257},{"id":"https://openalex.org/C139502532","wikidata":"https://www.wikidata.org/wiki/Q1122090","display_name":"Computational intelligence","level":2,"score":0.5645102262496948},{"id":"https://openalex.org/C45633534","wikidata":"https://www.wikidata.org/wiki/Q752487","display_name":"Dual space","level":2,"score":0.5635510683059692},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5134666562080383},{"id":"https://openalex.org/C198586994","wikidata":"https://www.wikidata.org/wiki/Q96376663","display_name":"Dual pair","level":5,"score":0.49156174063682556},{"id":"https://openalex.org/C141898687","wikidata":"https://www.wikidata.org/wiki/Q1501997","display_name":"Hausdorff distance","level":2,"score":0.45631206035614014},{"id":"https://openalex.org/C13336665","wikidata":"https://www.wikidata.org/wiki/Q125977","display_name":"Vector space","level":2,"score":0.411957323551178},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.375682532787323},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3479840159416199},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.27786126732826233},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.26800626516342163},{"id":"https://openalex.org/C178099376","wikidata":"https://www.wikidata.org/wiki/Q7825044","display_name":"Topological tensor product","level":4,"score":0.15924039483070374},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1089039146900177},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.07706183195114136},{"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/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C142362112","wikidata":"https://www.wikidata.org/wiki/Q735","display_name":"Art","level":0,"score":0.0},{"id":"https://openalex.org/C124952713","wikidata":"https://www.wikidata.org/wiki/Q8242","display_name":"Literature","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11590-018-1264-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11590-018-1264-8","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":[{"id":"https://openalex.org/G7129964759","display_name":null,"funder_award_id":"101.01-2017.18","funder_id":"https://openalex.org/F4320309617","funder_display_name":"National Foundation for Science and Technology Development"}],"funders":[{"id":"https://openalex.org/F4320309617","display_name":"National Foundation for Science and Technology Development","ror":"https://ror.org/04rw64z44"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W154593720","https://openalex.org/W1599607462","https://openalex.org/W1966839439","https://openalex.org/W1970210927","https://openalex.org/W1986517159","https://openalex.org/W1987253423","https://openalex.org/W1988703151","https://openalex.org/W1991180264","https://openalex.org/W1996810073","https://openalex.org/W1997130825","https://openalex.org/W1997764206","https://openalex.org/W1998659385","https://openalex.org/W2001423633","https://openalex.org/W2005873603","https://openalex.org/W2011906556","https://openalex.org/W2017962726","https://openalex.org/W2021424741","https://openalex.org/W2022888931","https://openalex.org/W2027642907","https://openalex.org/W2035458531","https://openalex.org/W2037635472","https://openalex.org/W2047842617","https://openalex.org/W2049934763","https://openalex.org/W2052264562","https://openalex.org/W2055717079","https://openalex.org/W2088855121","https://openalex.org/W2149631128","https://openalex.org/W2158451943","https://openalex.org/W2158845509"],"related_works":["https://openalex.org/W4250479592","https://openalex.org/W4388254889","https://openalex.org/W2491694721","https://openalex.org/W4291080934","https://openalex.org/W1986013261","https://openalex.org/W3117008194","https://openalex.org/W4242326004","https://openalex.org/W3021148619","https://openalex.org/W2481817281","https://openalex.org/W140339621"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
