{"id":"https://openalex.org/W3021186089","doi":"https://doi.org/10.1137/19m1293478","title":"A New Constraint Qualification and Sharp Optimality Conditions for Nonsmooth Mathematical Programming Problems in Terms of Quasidifferentials","display_name":"A New Constraint Qualification and Sharp Optimality Conditions for Nonsmooth Mathematical Programming Problems in Terms of Quasidifferentials","publication_year":2020,"publication_date":"2020-01-01","ids":{"openalex":"https://openalex.org/W3021186089","doi":"https://doi.org/10.1137/19m1293478","mag":"3021186089"},"language":"en","primary_location":{"id":"doi:10.1137/19m1293478","is_oa":false,"landing_page_url":"https://doi.org/10.1137/19m1293478","pdf_url":null,"source":{"id":"https://openalex.org/S928796702","display_name":"SIAM Journal on Optimization","issn_l":"1052-6234","issn":["1052-6234","1095-7189"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Optimization","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1910.06050","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5000808861","display_name":"\u041c. \u0412. \u0414\u043e\u043b\u0433\u043e\u043f\u043e\u043b\u0438\u043a","orcid":"https://orcid.org/0000-0003-0677-0797"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"M. V. Dolgopolik","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0003-0677-0797","affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5000808861"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.5604,"has_fulltext":false,"cited_by_count":16,"citation_normalized_percentile":{"value":0.86668541,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"30","issue":"3","first_page":"2603","last_page":"2627"},"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":0.9962000250816345,"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/T11777","display_name":"Fixed Point Theorems Analysis","score":0.9822999835014343,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8118009567260742},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6866450905799866},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.6576221585273743},{"id":"https://openalex.org/keywords/constraint-programming","display_name":"Constraint programming","score":0.5176408886909485},{"id":"https://openalex.org/keywords/multiobjective-programming","display_name":"Multiobjective programming","score":0.4264841675758362},{"id":"https://openalex.org/keywords/stochastic-programming","display_name":"Stochastic programming","score":0.2779340147972107},{"id":"https://openalex.org/keywords/multi-objective-optimization","display_name":"Multi-objective optimization","score":0.19606265425682068},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.04511743783950806}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8118009567260742},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6866450905799866},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.6576221585273743},{"id":"https://openalex.org/C173404611","wikidata":"https://www.wikidata.org/wiki/Q528588","display_name":"Constraint programming","level":3,"score":0.5176408886909485},{"id":"https://openalex.org/C2988952207","wikidata":"https://www.wikidata.org/wiki/Q2052203","display_name":"Multiobjective programming","level":3,"score":0.4264841675758362},{"id":"https://openalex.org/C137631369","wikidata":"https://www.wikidata.org/wiki/Q7617831","display_name":"Stochastic programming","level":2,"score":0.2779340147972107},{"id":"https://openalex.org/C68781425","wikidata":"https://www.wikidata.org/wiki/Q2052203","display_name":"Multi-objective optimization","level":2,"score":0.19606265425682068},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.04511743783950806}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/19m1293478","is_oa":false,"landing_page_url":"https://doi.org/10.1137/19m1293478","pdf_url":null,"source":{"id":"https://openalex.org/S928796702","display_name":"SIAM Journal on Optimization","issn_l":"1052-6234","issn":["1052-6234","1095-7189"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Optimization","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1910.06050","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1910.06050","pdf_url":"https://arxiv.org/pdf/1910.06050","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1910.06050","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1910.06050","pdf_url":"https://arxiv.org/pdf/1910.06050","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","score":0.6800000071525574,"display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":56,"referenced_works":["https://openalex.org/W9490100","https://openalex.org/W71736093","https://openalex.org/W72377344","https://openalex.org/W149278882","https://openalex.org/W313847473","https://openalex.org/W330775396","https://openalex.org/W585047121","https://openalex.org/W591794949","https://openalex.org/W1482651850","https://openalex.org/W1493492050","https://openalex.org/W1551360398","https://openalex.org/W1601741115","https://openalex.org/W1753899872","https://openalex.org/W1971509769","https://openalex.org/W1973018734","https://openalex.org/W1976681967","https://openalex.org/W1984873147","https://openalex.org/W1986863361","https://openalex.org/W1999093123","https://openalex.org/W2001986206","https://openalex.org/W2004508476","https://openalex.org/W2005429990","https://openalex.org/W2007657834","https://openalex.org/W2007825875","https://openalex.org/W2013604529","https://openalex.org/W2033000677","https://openalex.org/W2034294432","https://openalex.org/W2037215102","https://openalex.org/W2037686073","https://openalex.org/W2045851581","https://openalex.org/W2051129445","https://openalex.org/W2053042494","https://openalex.org/W2056515504","https://openalex.org/W2058958838","https://openalex.org/W2063496066","https://openalex.org/W2065012151","https://openalex.org/W2065137952","https://openalex.org/W2068299911","https://openalex.org/W2068676218","https://openalex.org/W2069294955","https://openalex.org/W2071834403","https://openalex.org/W2087446297","https://openalex.org/W2164858464","https://openalex.org/W2216090774","https://openalex.org/W2231325452","https://openalex.org/W2312877741","https://openalex.org/W2335660501","https://openalex.org/W2504226105","https://openalex.org/W2957841223","https://openalex.org/W2971960947","https://openalex.org/W3020933353","https://openalex.org/W3038830718","https://openalex.org/W3101061768","https://openalex.org/W3106807711","https://openalex.org/W3157341860","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W4291309325","https://openalex.org/W2349580982","https://openalex.org/W2950474130","https://openalex.org/W4313469555","https://openalex.org/W2737452945","https://openalex.org/W1547011777","https://openalex.org/W1514706798","https://openalex.org/W1985899403","https://openalex.org/W2069398948","https://openalex.org/W3015956618"],"abstract_inverted_index":{"The":[0,105],"paper":[1,183],"is":[2,117],"devoted":[3],"to":[4,56,81,140],"an":[5],"analysis":[6],"of":[7,15,33,49,52,69,95,108,126,128,143,161,197,204,209],"a":[8,13,46,57,70,173],"new":[9,71,110],"constraint":[10,72,79,111],"qualification":[11,80,112],"and":[12,28,63,78,113,132,134],"derivation":[14],"the":[16,37,53,67,83,109,118,129,141,147,177,200,207],"strongest":[17,84],"existing":[18,85],"optimality":[19,86,115,157,178,193],"conditions":[20,87,116,158,179,194],"for":[21,88],"nonsmooth":[22,89],"mathematical":[23,90],"programming":[24,91],"problems":[25,92],"with":[26,66,138],"equality":[27,62],"inequality":[29,64],"constraints":[30,65,133],"in":[31,93,102,155,159,181,195,202],"terms":[32,94,160,196,203],"Demyanov--Rubinov--Polyakova":[34],"quasidifferentials":[35,96,127],"under":[36,97],"minimal":[38],"possible":[39],"assumptions.":[40],"To":[41,145],"this":[42,76,182,189,210],"end,":[43],"we":[44,150],"obtain":[45],"novel":[47],"description":[48,77],"convex":[50],"subcones":[51],"contingent":[54],"cone":[55],"set":[58],"defined":[59],"by":[60],"quasidifferentiable":[61],"use":[68],"qualification.":[73],"We":[74],"utilize":[75],"derive":[82],"less":[98],"restrictive":[99],"assumptions":[100],"than":[101],"previous":[103],"studies.":[104],"main":[106],"feature":[107],"related":[114],"fact":[119],"that":[120,191],"they":[121],"depend":[122],"on":[123],"individual":[124],"elements":[125],"objective":[130],"function":[131],"are":[135,170],"not":[136,185],"invariant":[137],"respect":[139],"choice":[142],"quasidifferentials.":[144],"illustrate":[146],"theoretical":[148],"results,":[149],"present":[151],"two":[152],"simple":[153],"examples":[154],"which":[156],"various":[162],"subdifferentials":[163],"(in":[164],"fact,":[165],"any":[166],"outer":[167],"semicontinuous/limiting":[168],"subdifferential)":[169],"satisfied":[171],"at":[172,188],"nonoptimal":[174],"point,":[175],"while":[176],"obtained":[180],"do":[184],"hold":[186],"true":[187],"point;":[190],"is,":[192],"quasidifferentials,":[198],"unlike":[199],"ones":[201],"subdifferentials,":[205],"detect":[206],"nonoptimality":[208],"point.":[211]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":5}],"updated_date":"2026-08-26T07:47:46.906454","created_date":"2020-05-13T00:00:00"}