{"id":"https://openalex.org/W2006349151","doi":"https://doi.org/10.1007/s11590-014-0725-y","title":"Second-order necessary conditions in locally Lipschitz optimization with inequality constraints","display_name":"Second-order necessary conditions in locally Lipschitz optimization with inequality constraints","publication_year":2014,"publication_date":"2014-02-08","ids":{"openalex":"https://openalex.org/W2006349151","doi":"https://doi.org/10.1007/s11590-014-0725-y","mag":"2006349151"},"language":"en","primary_location":{"id":"doi:10.1007/s11590-014-0725-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11590-014-0725-y","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/A5102756623","display_name":"Elena Constantin","orcid":"https://orcid.org/0000-0002-6963-4744"},"institutions":[{"id":"https://openalex.org/I4210134124","display_name":"University of Pittsburgh at Johnstown","ror":"https://ror.org/03n9scz70","country_code":"US","type":"education","lineage":["https://openalex.org/I170201317","https://openalex.org/I4210134124"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Elena Constantin","raw_affiliation_strings":["Mathematics Department, University of Pittsburgh at Johnstown, Johnstown, USA","University of Pittsburgh at Johnstown,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematics Department, University of Pittsburgh at Johnstown, Johnstown, USA","institution_ids":["https://openalex.org/I4210134124"]},{"raw_affiliation_string":"University of Pittsburgh at Johnstown,","institution_ids":["https://openalex.org/I4210134124"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5102756623"],"corresponding_institution_ids":["https://openalex.org/I4210134124"],"apc_list":{"value":2890,"currency":"USD","value_usd":2890},"apc_paid":null,"fwci":0.6983,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.71057228,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"9","issue":"2","first_page":"245","last_page":"261"},"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9990000128746033,"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/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9890000224113464,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/lipschitz-continuity","display_name":"Lipschitz continuity","score":0.8112293481826782},{"id":"https://openalex.org/keywords/computational-intelligence","display_name":"Computational intelligence","score":0.8062379360198975},{"id":"https://openalex.org/keywords/inequality","display_name":"Inequality","score":0.680208683013916},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.6367639303207397},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5405600666999817},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4588393270969391},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3761667013168335},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3106047511100769},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.19946691393852234},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.16427674889564514},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.09775012731552124}],"concepts":[{"id":"https://openalex.org/C22324862","wikidata":"https://www.wikidata.org/wiki/Q652707","display_name":"Lipschitz continuity","level":2,"score":0.8112293481826782},{"id":"https://openalex.org/C139502532","wikidata":"https://www.wikidata.org/wiki/Q1122090","display_name":"Computational intelligence","level":2,"score":0.8062379360198975},{"id":"https://openalex.org/C45555294","wikidata":"https://www.wikidata.org/wiki/Q28113351","display_name":"Inequality","level":2,"score":0.680208683013916},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.6367639303207397},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5405600666999817},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4588393270969391},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3761667013168335},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3106047511100769},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.19946691393852234},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.16427674889564514},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.09775012731552124},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11590-014-0725-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11590-014-0725-y","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":[{"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10","score":0.47999998927116394}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W434249667","https://openalex.org/W1531410379","https://openalex.org/W1551360398","https://openalex.org/W1972451512","https://openalex.org/W1975708545","https://openalex.org/W1991566778","https://openalex.org/W2000120257","https://openalex.org/W2012663305","https://openalex.org/W2016066906","https://openalex.org/W2020186342","https://openalex.org/W2020489358","https://openalex.org/W2034145183","https://openalex.org/W2050795202","https://openalex.org/W2054753030","https://openalex.org/W2060480165","https://openalex.org/W2062813253","https://openalex.org/W2069227913","https://openalex.org/W2074553918","https://openalex.org/W2085651279","https://openalex.org/W2100384283"],"related_works":["https://openalex.org/W3185235544","https://openalex.org/W2897842840","https://openalex.org/W2911623553","https://openalex.org/W4297791327","https://openalex.org/W2397777611","https://openalex.org/W1502031429","https://openalex.org/W2417585376","https://openalex.org/W1994157709","https://openalex.org/W4294336468","https://openalex.org/W2797811993"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"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":3},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":2}],"updated_date":"2026-07-29T09:40:50.615796","created_date":"2025-10-10T00:00:00"}
