{"id":"https://openalex.org/W2051358446","doi":"https://doi.org/10.1137/130928637","title":"Full Stability of Locally Optimal Solutions in Second-Order Cone Programs","display_name":"Full Stability of Locally Optimal Solutions in Second-Order Cone Programs","publication_year":2014,"publication_date":"2014-01-01","ids":{"openalex":"https://openalex.org/W2051358446","doi":"https://doi.org/10.1137/130928637","mag":"2051358446"},"language":"en","primary_location":{"id":"doi:10.1137/130928637","is_oa":false,"landing_page_url":"https://doi.org/10.1137/130928637","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":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://library.utia.cas.cz/separaty/2014/MTR/outrata-0434303.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5066241737","display_name":"Boris S. Mordukhovich","orcid":"https://orcid.org/0000-0002-6071-6049"},"institutions":[{"id":"https://openalex.org/I185443292","display_name":"Wayne State University","ror":"https://ror.org/01070mq45","country_code":"US","type":"education","lineage":["https://openalex.org/I185443292"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Boris S. Mordukhovich","raw_affiliation_strings":["Wayne State University"],"affiliations":[{"raw_affiliation_string":"Wayne State University","institution_ids":["https://openalex.org/I185443292"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5105528262","display_name":"Ji\u0159\u00ed V. Outrata","orcid":null},"institutions":[{"id":"https://openalex.org/I149672521","display_name":"Federation University","ror":"https://ror.org/05qbzwv83","country_code":"AU","type":"education","lineage":["https://openalex.org/I149672521"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Ji\u0159\u00ed V. Outrata","raw_affiliation_strings":["Federation University of Australia"],"affiliations":[{"raw_affiliation_string":"Federation University of Australia","institution_ids":["https://openalex.org/I149672521"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5078881452","display_name":"M. Ebrahim Sarabi","orcid":null},"institutions":[{"id":"https://openalex.org/I185443292","display_name":"Wayne State University","ror":"https://ror.org/01070mq45","country_code":"US","type":"education","lineage":["https://openalex.org/I185443292"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"M. Ebrahim Sarabi","raw_affiliation_strings":["Wayne State University"],"affiliations":[{"raw_affiliation_string":"Wayne State University","institution_ids":["https://openalex.org/I185443292"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5066241737"],"corresponding_institution_ids":["https://openalex.org/I185443292"],"apc_list":null,"apc_paid":null,"fwci":6.2148,"has_fulltext":true,"cited_by_count":43,"citation_normalized_percentile":{"value":0.96807772,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"24","issue":"4","first_page":"1581","last_page":"1613"},"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":0.9995999932289124,"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/T10791","display_name":"Advanced Control Systems Optimization","score":0.9667999744415283,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"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/mathematics","display_name":"Mathematics","score":0.8778486847877502},{"id":"https://openalex.org/keywords/cone","display_name":"Cone (formal languages)","score":0.8307003974914551},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.6933401226997375},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.6803123950958252},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.6172147989273071},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.5461995005607605},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5085166692733765},{"id":"https://openalex.org/keywords/first-order","display_name":"First order","score":0.4426164925098419},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.39494046568870544},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.38998883962631226},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.16364124417304993},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.12875217199325562},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.07510814070701599}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8778486847877502},{"id":"https://openalex.org/C30014739","wikidata":"https://www.wikidata.org/wiki/Q5159445","display_name":"Cone (formal languages)","level":2,"score":0.8307003974914551},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.6933401226997375},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.6803123950958252},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.6172147989273071},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.5461995005607605},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5085166692733765},{"id":"https://openalex.org/C2987642246","wikidata":"https://www.wikidata.org/wiki/Q5452196","display_name":"First order","level":2,"score":0.4426164925098419},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.39494046568870544},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.38998883962631226},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.16364124417304993},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.12875217199325562},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.07510814070701599},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","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}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1137/130928637","is_oa":false,"landing_page_url":"https://doi.org/10.1137/130928637","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:asep.lib.cas.cz:CavUnEpca/0434303","is_oa":true,"landing_page_url":"http://hdl.handle.net/11104/0239352","pdf_url":"http://library.utia.cas.cz/separaty/2014/MTR/outrata-0434303.pdf","source":{"id":"https://openalex.org/S7407055266","display_name":"ASEP","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"public-domain","license_id":"https://openalex.org/licenses/public-domain","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:vital:7544","is_oa":false,"landing_page_url":"http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/76551","pdf_url":null,"source":{"id":"https://openalex.org/S4306400234","display_name":"FedUni ResearchOnline (Federation University Australia)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210158496","host_organization_name":"Australian Federation of University Women \u2013 South Australia","host_organization_lineage":["https://openalex.org/I4210158496"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"}],"best_oa_location":{"id":"pmh:oai:asep.lib.cas.cz:CavUnEpca/0434303","is_oa":true,"landing_page_url":"http://hdl.handle.net/11104/0239352","pdf_url":"http://library.utia.cas.cz/separaty/2014/MTR/outrata-0434303.pdf","source":{"id":"https://openalex.org/S7407055266","display_name":"ASEP","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"public-domain","license_id":"https://openalex.org/licenses/public-domain","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/publishedVersion"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4971997667","display_name":null,"funder_award_id":"DP-110102011","funder_id":"https://openalex.org/F4320334704","funder_display_name":"Australian Research Council"},{"id":"https://openalex.org/G5078140146","display_name":null,"funder_award_id":"P402/12/1309","funder_id":"https://openalex.org/F4320321006","funder_display_name":"Grantov\u00e1 Agentura \u010cesk\u00e9 Republiky"},{"id":"https://openalex.org/G7987137704","display_name":null,"funder_award_id":"DMS-1007132","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G8538662892","display_name":"CNH: Collaborative Research: Northern Gulf of Mexico Hypoxia and Land Use in the Watershed: Feedback and Scale Interactions","funder_award_id":"1010201","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320309272","display_name":"Wayne State University","ror":"https://ror.org/01070mq45"},{"id":"https://openalex.org/F4320321006","display_name":"Grantov\u00e1 Agentura \u010cesk\u00e9 Republiky","ror":"https://ror.org/01pv73b02"},{"id":"https://openalex.org/F4320322482","display_name":"Akademie V\u011bd \u010cesk\u00e9 Republiky","ror":"https://ror.org/053avzc18"},{"id":"https://openalex.org/F4320334704","display_name":"Australian Research Council","ror":"https://ror.org/05mmh0f86"}],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W2051358446.pdf"},"referenced_works_count":35,"referenced_works":["https://openalex.org/W10800830","https://openalex.org/W121392136","https://openalex.org/W1518440404","https://openalex.org/W1567995217","https://openalex.org/W1601741115","https://openalex.org/W1608145022","https://openalex.org/W1965287024","https://openalex.org/W1973198704","https://openalex.org/W1978161240","https://openalex.org/W1993647205","https://openalex.org/W1996975947","https://openalex.org/W2009923109","https://openalex.org/W2014741630","https://openalex.org/W2015090229","https://openalex.org/W2022853838","https://openalex.org/W2034492412","https://openalex.org/W2036170323","https://openalex.org/W2042401377","https://openalex.org/W2043126746","https://openalex.org/W2044615981","https://openalex.org/W2068025262","https://openalex.org/W2069691851","https://openalex.org/W2076513259","https://openalex.org/W2083231020","https://openalex.org/W2095072296","https://openalex.org/W2142789187","https://openalex.org/W2147810192","https://openalex.org/W2153562582","https://openalex.org/W2166234392","https://openalex.org/W2615148833","https://openalex.org/W2963973717","https://openalex.org/W3157341860","https://openalex.org/W4231969848","https://openalex.org/W4251174782","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2371409811","https://openalex.org/W2956921597","https://openalex.org/W2070412032","https://openalex.org/W4249185839","https://openalex.org/W2116371063","https://openalex.org/W2888047994","https://openalex.org/W3128918387","https://openalex.org/W1969164744","https://openalex.org/W2388358524","https://openalex.org/W2804031268"],"abstract_inverted_index":{"The":[0],"paper":[1],"presents":[2],"complete":[3],"characterizations":[4,27],"of":[5,9,22,33,55,63,79],"Lipschitzian":[6],"full":[7,53],"stability":[8,54],"locally":[10],"optimal":[11],"solutions":[12],"to":[13],"second-order":[14,39,80],"cone":[15],"programs":[16],"(SOCPs)":[17],"expressed":[18],"entirely":[19],"in":[20],"terms":[21],"their":[23],"initial":[24],"data.":[25],"These":[26],"are":[28],"obtained":[29],"via":[30],"appropriate":[31],"versions":[32],"the":[34,43,64],"quadratic":[35],"growth":[36],"and":[37,60,83],"strong":[38,61],"sufficient":[40],"conditions":[41],"under":[42],"corresponding":[44],"constraint":[45],"qualifications.":[46],"We":[47],"also":[48],"establish":[49],"close":[50],"relationships":[51],"between":[52],"local":[56],"minimizers":[57],"for":[58],"SOCPs":[59],"regularity":[62],"associated":[65],"generalized":[66,84],"equations":[67],"at":[68],"nondegenerate":[69],"points.":[70],"Our":[71],"approach":[72],"is":[73],"mainly":[74],"based":[75],"on":[76],"advanced":[77],"tools":[78],"variational":[81],"analysis":[82],"differentiation.":[85]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":6},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":7},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":4}],"updated_date":"2026-04-21T08:09:41.155169","created_date":"2025-10-10T00:00:00"}
