{"id":"https://openalex.org/W1994279720","doi":"https://doi.org/10.1007/s10957-010-9753-7","title":"Semi-Infinite Optimization under Convex Function Perturbations: Lipschitz Stability","display_name":"Semi-Infinite Optimization under Convex Function Perturbations: Lipschitz Stability","publication_year":2010,"publication_date":"2010-10-18","ids":{"openalex":"https://openalex.org/W1994279720","doi":"https://doi.org/10.1007/s10957-010-9753-7","mag":"1994279720"},"language":"en","primary_location":{"id":"doi:10.1007/s10957-010-9753-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10957-010-9753-7","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/A5108291755","display_name":"N. Q. Huy","orcid":null},"institutions":[{"id":"https://openalex.org/I4210095523","display_name":"Hanoi Pedagogical University 2","ror":"https://ror.org/00st18g74","country_code":"VN","type":"education","lineage":["https://openalex.org/I4210095523"]}],"countries":["VN"],"is_corresponding":false,"raw_author_name":"N. Q. Huy","raw_affiliation_strings":["Department of Mathematics, Hanoi Pedagogical University No. 2, Xuan Hoa, Phuc Yen, Vinh Phuc Province, Vietnam","Hanoi Pedagogical University No. 2"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Hanoi Pedagogical University No. 2, Xuan Hoa, Phuc Yen, Vinh Phuc Province, Vietnam","institution_ids":["https://openalex.org/I4210095523"]},{"raw_affiliation_string":"Hanoi Pedagogical University No. 2","institution_ids":["https://openalex.org/I4210095523"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101743548","display_name":"Jen-Chih Yao","orcid":"https://orcid.org/0000-0002-0855-4097"},"institutions":[{"id":"https://openalex.org/I142974352","display_name":"National Sun Yat-sen University","ror":"https://ror.org/00mjawt10","country_code":"TW","type":"education","lineage":["https://openalex.org/I142974352"]}],"countries":["TW"],"is_corresponding":true,"raw_author_name":"J.-C. Yao","raw_affiliation_strings":["Department of Applied Mathematics, National Sun Yat-sen University, Kaohsiung, 804, Taiwan","National Sun Yat\u2010sen University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, National Sun Yat-sen University, Kaohsiung, 804, Taiwan","institution_ids":["https://openalex.org/I142974352"]},{"raw_affiliation_string":"National Sun Yat\u2010sen University","institution_ids":["https://openalex.org/I142974352"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5101743548"],"corresponding_institution_ids":["https://openalex.org/I142974352"],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":null,"fwci":2.8626,"has_fulltext":false,"cited_by_count":21,"citation_normalized_percentile":{"value":0.90079496,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"148","issue":"2","first_page":"237","last_page":"256"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":1.0,"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":1.0,"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":0.9991000294685364,"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/T11830","display_name":"Point processes and geometric inequalities","score":0.987500011920929,"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/lipschitz-continuity","display_name":"Lipschitz continuity","score":0.8098540902137756},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7863712310791016},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.6139655113220215},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.6001125574111938},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.5644865036010742},{"id":"https://openalex.org/keywords/proper-convex-function","display_name":"Proper convex function","score":0.5389071702957153},{"id":"https://openalex.org/keywords/convex-analysis","display_name":"Convex analysis","score":0.505500316619873},{"id":"https://openalex.org/keywords/subderivative","display_name":"Subderivative","score":0.4931184947490692},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.48827314376831055},{"id":"https://openalex.org/keywords/parametric-statistics","display_name":"Parametric statistics","score":0.483367383480072},{"id":"https://openalex.org/keywords/convex-function","display_name":"Convex function","score":0.4815424084663391},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.47419148683547974},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.46530041098594666},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.43559786677360535},{"id":"https://openalex.org/keywords/convex-set","display_name":"Convex set","score":0.4346562623977661},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.434510737657547},{"id":"https://openalex.org/keywords/feasible-region","display_name":"Feasible region","score":0.42581695318222046},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.39323848485946655},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.12378731369972229},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.10895735025405884},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.08992889523506165}],"concepts":[{"id":"https://openalex.org/C22324862","wikidata":"https://www.wikidata.org/wiki/Q652707","display_name":"Lipschitz continuity","level":2,"score":0.8098540902137756},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7863712310791016},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.6139655113220215},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.6001125574111938},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.5644865036010742},{"id":"https://openalex.org/C50862404","wikidata":"https://www.wikidata.org/wiki/Q3075259","display_name":"Proper convex function","level":5,"score":0.5389071702957153},{"id":"https://openalex.org/C12108790","wikidata":"https://www.wikidata.org/wiki/Q2234833","display_name":"Convex analysis","level":4,"score":0.505500316619873},{"id":"https://openalex.org/C200661725","wikidata":"https://www.wikidata.org/wiki/Q289500","display_name":"Subderivative","level":4,"score":0.4931184947490692},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.48827314376831055},{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.483367383480072},{"id":"https://openalex.org/C145446738","wikidata":"https://www.wikidata.org/wiki/Q319913","display_name":"Convex function","level":3,"score":0.4815424084663391},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.47419148683547974},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.46530041098594666},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.43559786677360535},{"id":"https://openalex.org/C49870271","wikidata":"https://www.wikidata.org/wiki/Q193657","display_name":"Convex set","level":4,"score":0.4346562623977661},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.434510737657547},{"id":"https://openalex.org/C177067428","wikidata":"https://www.wikidata.org/wiki/Q17013331","display_name":"Feasible region","level":2,"score":0.42581695318222046},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.39323848485946655},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.12378731369972229},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.10895735025405884},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.08992889523506165},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10957-010-9753-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10957-010-9753-7","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:148:y:2011:i:2:d:10.1007_s10957-010-9753-7","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s10957-010-9753-7","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/13","score":0.4099999964237213,"display_name":"Climate action"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W75278000","https://openalex.org/W75878429","https://openalex.org/W83112366","https://openalex.org/W592380130","https://openalex.org/W1551360398","https://openalex.org/W1553702074","https://openalex.org/W1601741115","https://openalex.org/W1965700306","https://openalex.org/W1979563734","https://openalex.org/W1986284619","https://openalex.org/W1994883751","https://openalex.org/W2011451855","https://openalex.org/W2023252401","https://openalex.org/W2041164905","https://openalex.org/W2045526123","https://openalex.org/W2055069316","https://openalex.org/W2063595679","https://openalex.org/W2127709338","https://openalex.org/W2136553956","https://openalex.org/W2140402456","https://openalex.org/W2160351992","https://openalex.org/W2197189530","https://openalex.org/W2235484001","https://openalex.org/W2239483844","https://openalex.org/W2501586463","https://openalex.org/W4249513058","https://openalex.org/W4249667877","https://openalex.org/W4253214256","https://openalex.org/W6636183740"],"related_works":["https://openalex.org/W2026600343","https://openalex.org/W4382519084","https://openalex.org/W2478309485","https://openalex.org/W2356261519","https://openalex.org/W1978014154","https://openalex.org/W165488893","https://openalex.org/W2040676043","https://openalex.org/W2391247224","https://openalex.org/W4361807553","https://openalex.org/W2353104181"],"abstract_inverted_index":null,"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2017,"cited_by_count":5},{"year":2016,"cited_by_count":2},{"year":2013,"cited_by_count":6},{"year":2012,"cited_by_count":1}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}
