{"id":"https://openalex.org/W1972011070","doi":"https://doi.org/10.1007/s10107-013-0665-9","title":"Metric regularity of epigraphical multivalued mappings and applications to vector optimization","display_name":"Metric regularity of epigraphical multivalued mappings and applications to vector optimization","publication_year":2013,"publication_date":"2013-03-19","ids":{"openalex":"https://openalex.org/W1972011070","doi":"https://doi.org/10.1007/s10107-013-0665-9","mag":"1972011070"},"language":"en","primary_location":{"id":"doi:10.1007/s10107-013-0665-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10107-013-0665-9","pdf_url":null,"source":{"id":"https://openalex.org/S193920097","display_name":"Mathematical Programming","issn_l":"0025-5610","issn":["0025-5610","1436-4646"],"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":"Mathematical Programming","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/A5071610741","display_name":"Marius Durea","orcid":"https://orcid.org/0000-0002-6429-0209"},"institutions":[{"id":"https://openalex.org/I138164181","display_name":"Alexandru Ioan Cuza University","ror":"https://ror.org/022kvet57","country_code":"RO","type":"education","lineage":["https://openalex.org/I138164181"]}],"countries":["RO"],"is_corresponding":true,"raw_author_name":"Marius Durea","raw_affiliation_strings":["Faculty of Mathematics, \u201cAl. I. Cuza\u201d University, Bd. Carol I, nr. 11, 700506 , Ia\u015fi, Romania","Faculty of Mathematics, \u201cAl. I. Cuza\u201d University, Ia\u015fi, Romania"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Mathematics, \u201cAl. I. Cuza\u201d University, Bd. Carol I, nr. 11, 700506 , Ia\u015fi, Romania","institution_ids":["https://openalex.org/I138164181"]},{"raw_affiliation_string":"Faculty of Mathematics, \u201cAl. I. Cuza\u201d University, Ia\u015fi, Romania","institution_ids":["https://openalex.org/I138164181"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5071772385","display_name":"Huu Tron Nguyen","orcid":null},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210137358","display_name":"Quy Nhon University","ror":"https://ror.org/04h4y6q56","country_code":"VN","type":"education","lineage":["https://openalex.org/I4210137358"]},{"id":"https://openalex.org/I65806277","display_name":"Universit\u00e9 de Limoges","ror":"https://ror.org/02cp04407","country_code":"FR","type":"education","lineage":["https://openalex.org/I65806277"]}],"countries":["FR","VN"],"is_corresponding":false,"raw_author_name":"Huu Tron Nguyen","raw_affiliation_strings":["Laboratoire XLIM, UMR-CNRS 6172, Universit\u00e9 de Limoges, Limoges, France","University of Quy Nhon, Qui Nhon, Vietnam"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratoire XLIM, UMR-CNRS 6172, Universit\u00e9 de Limoges, Limoges, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I65806277"]},{"raw_affiliation_string":"University of Quy Nhon, Qui Nhon, Vietnam","institution_ids":["https://openalex.org/I4210137358"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5023845933","display_name":"Radu Strugariu","orcid":"https://orcid.org/0000-0001-7938-4657"},"institutions":[{"id":"https://openalex.org/I4210108695","display_name":"Gheorghe Asachi Technical University of Ia\u0219i","ror":"https://ror.org/014zxnz40","country_code":"RO","type":"education","lineage":["https://openalex.org/I4210108695"]}],"countries":["RO"],"is_corresponding":false,"raw_author_name":"Radu Strugariu","raw_affiliation_strings":["Department of Mathematics and Informatics, \u201cGh. Asachi\u201d Technical University, Bd. Carol I, nr. 11, 700506 , Ia\u015fi, Romania","Department of Mathematics and Informatics, \u201cGh. Asachi\u201d Technical University, Ia\u015fi, Romania"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Informatics, \u201cGh. Asachi\u201d Technical University, Bd. Carol I, nr. 11, 700506 , Ia\u015fi, Romania","institution_ids":["https://openalex.org/I4210108695"]},{"raw_affiliation_string":"Department of Mathematics and Informatics, \u201cGh. Asachi\u201d Technical University, Ia\u015fi, Romania","institution_ids":["https://openalex.org/I4210108695"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5071610741"],"corresponding_institution_ids":["https://openalex.org/I138164181"],"apc_list":{"value":2890,"currency":"USD","value_usd":2890},"apc_paid":null,"fwci":1.4254,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.81310071,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"139","issue":"1-2","first_page":"139","last_page":"159"},"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/T11777","display_name":"Fixed Point Theorems Analysis","score":0.9975000023841858,"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9923999905586243,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8158760070800781},{"id":"https://openalex.org/keywords/metric","display_name":"Metric (unit)","score":0.6916830539703369},{"id":"https://openalex.org/keywords/fermats-last-theorem","display_name":"Fermat's Last Theorem","score":0.6136987805366516},{"id":"https://openalex.org/keywords/banach-space","display_name":"Banach space","score":0.6068820953369141},{"id":"https://openalex.org/keywords/pareto-principle","display_name":"Pareto principle","score":0.5845238566398621},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5431411266326904},{"id":"https://openalex.org/keywords/vector-optimization","display_name":"Vector optimization","score":0.5246185064315796},{"id":"https://openalex.org/keywords/metric-space","display_name":"Metric space","score":0.49516764283180237},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4514613747596741},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.4451844394207001},{"id":"https://openalex.org/keywords/exploit","display_name":"Exploit","score":0.4119088053703308},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4086051285266876},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3588854670524597},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3224707841873169},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.16519448161125183}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8158760070800781},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.6916830539703369},{"id":"https://openalex.org/C87670640","wikidata":"https://www.wikidata.org/wiki/Q132469","display_name":"Fermat's Last Theorem","level":2,"score":0.6136987805366516},{"id":"https://openalex.org/C132954091","wikidata":"https://www.wikidata.org/wiki/Q194397","display_name":"Banach space","level":2,"score":0.6068820953369141},{"id":"https://openalex.org/C137635306","wikidata":"https://www.wikidata.org/wiki/Q182667","display_name":"Pareto principle","level":2,"score":0.5845238566398621},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5431411266326904},{"id":"https://openalex.org/C164088818","wikidata":"https://www.wikidata.org/wiki/Q7917833","display_name":"Vector optimization","level":4,"score":0.5246185064315796},{"id":"https://openalex.org/C198043062","wikidata":"https://www.wikidata.org/wiki/Q180953","display_name":"Metric space","level":2,"score":0.49516764283180237},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4514613747596741},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.4451844394207001},{"id":"https://openalex.org/C165696696","wikidata":"https://www.wikidata.org/wiki/Q11287","display_name":"Exploit","level":2,"score":0.4119088053703308},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4086051285266876},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3588854670524597},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3224707841873169},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.16519448161125183},{"id":"https://openalex.org/C21547014","wikidata":"https://www.wikidata.org/wiki/Q1423657","display_name":"Operations management","level":1,"score":0.0},{"id":"https://openalex.org/C122357587","wikidata":"https://www.wikidata.org/wiki/Q6934508","display_name":"Multi-swarm optimization","level":3,"score":0.0},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10107-013-0665-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10107-013-0665-9","pdf_url":null,"source":{"id":"https://openalex.org/S193920097","display_name":"Mathematical Programming","issn_l":"0025-5610","issn":["0025-5610","1436-4646"],"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":"Mathematical Programming","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":42,"referenced_works":["https://openalex.org/W21204387","https://openalex.org/W135911866","https://openalex.org/W185728265","https://openalex.org/W345014192","https://openalex.org/W759920449","https://openalex.org/W1525781748","https://openalex.org/W1601960826","https://openalex.org/W1632219083","https://openalex.org/W1970396175","https://openalex.org/W1977750299","https://openalex.org/W1981955268","https://openalex.org/W1989357184","https://openalex.org/W1991203806","https://openalex.org/W1993647205","https://openalex.org/W1995457312","https://openalex.org/W1995700855","https://openalex.org/W2001598548","https://openalex.org/W2003383511","https://openalex.org/W2010295352","https://openalex.org/W2011461289","https://openalex.org/W2016019828","https://openalex.org/W2021305110","https://openalex.org/W2027198622","https://openalex.org/W2027698658","https://openalex.org/W2031988470","https://openalex.org/W2036052184","https://openalex.org/W2051501037","https://openalex.org/W2068606267","https://openalex.org/W2076759192","https://openalex.org/W2092335343","https://openalex.org/W2101292089","https://openalex.org/W2101345238","https://openalex.org/W2109780636","https://openalex.org/W2111264637","https://openalex.org/W2111681283","https://openalex.org/W2114605231","https://openalex.org/W2116598569","https://openalex.org/W2153562582","https://openalex.org/W2158590818","https://openalex.org/W2496276084","https://openalex.org/W4231183558","https://openalex.org/W4249513058"],"related_works":["https://openalex.org/W3117637768","https://openalex.org/W4234136403","https://openalex.org/W2915600906","https://openalex.org/W4210357473","https://openalex.org/W2756963998","https://openalex.org/W2950200097","https://openalex.org/W2414712971","https://openalex.org/W275792417","https://openalex.org/W3178075962","https://openalex.org/W1884296468"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":3}],"updated_date":"2026-07-29T09:40:50.615796","created_date":"2025-10-10T00:00:00"}
