{"id":"https://openalex.org/W2963553214","doi":"https://doi.org/10.1007/s10898-019-00807-9","title":"Necessary conditions for weak efficiency for nonsmooth degenerate multiobjective optimization problems","display_name":"Necessary conditions for weak efficiency for nonsmooth degenerate multiobjective optimization problems","publication_year":2019,"publication_date":"2019-07-24","ids":{"openalex":"https://openalex.org/W2963553214","doi":"https://doi.org/10.1007/s10898-019-00807-9","mag":"2963553214"},"language":"en","primary_location":{"id":"doi:10.1007/s10898-019-00807-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10898-019-00807-9","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/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, PA, 15904, USA"],"affiliations":[{"raw_affiliation_string":"Mathematics Department, University of Pittsburgh at Johnstown, Johnstown, PA, 15904, USA","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":2190,"currency":"EUR","value_usd":2780},"apc_paid":null,"fwci":0.9979,"has_fulltext":false,"cited_by_count":16,"citation_normalized_percentile":{"value":0.78629077,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"75","issue":"1","first_page":"111","last_page":"129"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9995999932289124,"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":0.9995999932289124,"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":0.9934999942779541,"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/T10848","display_name":"Advanced Multi-Objective Optimization Algorithms","score":0.9850999712944031,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.896276593208313},{"id":"https://openalex.org/keywords/degenerate-energy-levels","display_name":"Degenerate energy levels","score":0.7466754913330078},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.612987220287323},{"id":"https://openalex.org/keywords/multi-objective-optimization","display_name":"Multi-objective optimization","score":0.5501790046691895},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4621731638908386},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.34040898084640503}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.896276593208313},{"id":"https://openalex.org/C72319582","wikidata":"https://www.wikidata.org/wiki/Q584304","display_name":"Degenerate energy levels","level":2,"score":0.7466754913330078},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.612987220287323},{"id":"https://openalex.org/C68781425","wikidata":"https://www.wikidata.org/wiki/Q2052203","display_name":"Multi-objective optimization","level":2,"score":0.5501790046691895},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4621731638908386},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.34040898084640503},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10898-019-00807-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10898-019-00807-9","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:75:y:2019:i:1:d:10.1007_s10898-019-00807-9","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s10898-019-00807-9","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":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":37,"referenced_works":["https://openalex.org/W51464173","https://openalex.org/W1551360398","https://openalex.org/W1972720745","https://openalex.org/W1983583792","https://openalex.org/W1984335589","https://openalex.org/W1992268187","https://openalex.org/W1997039729","https://openalex.org/W2002467110","https://openalex.org/W2006349151","https://openalex.org/W2007993121","https://openalex.org/W2012663305","https://openalex.org/W2020489358","https://openalex.org/W2021113044","https://openalex.org/W2034974447","https://openalex.org/W2037792333","https://openalex.org/W2038754207","https://openalex.org/W2040665642","https://openalex.org/W2056221076","https://openalex.org/W2060480165","https://openalex.org/W2060545983","https://openalex.org/W2074553918","https://openalex.org/W2077017001","https://openalex.org/W2085651279","https://openalex.org/W2117463942","https://openalex.org/W2295222984","https://openalex.org/W2339133824","https://openalex.org/W2466784529","https://openalex.org/W2478963760","https://openalex.org/W2561647087","https://openalex.org/W2600350321","https://openalex.org/W2651489280","https://openalex.org/W2748994838","https://openalex.org/W2765585966","https://openalex.org/W2804192155","https://openalex.org/W2804799107","https://openalex.org/W4210857341","https://openalex.org/W4234509518"],"related_works":["https://openalex.org/W4318426920","https://openalex.org/W2055791821","https://openalex.org/W2153873031","https://openalex.org/W570431388","https://openalex.org/W2637862190","https://openalex.org/W2611723089","https://openalex.org/W2337862504","https://openalex.org/W3082547637","https://openalex.org/W1994436307","https://openalex.org/W2164920121"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":7},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
