{"id":"https://openalex.org/W3139840029","doi":"https://doi.org/10.1137/19m1282210","title":"Nonlinear Quasi-hemivariational Inequalities: Existence and Optimal Control","display_name":"Nonlinear Quasi-hemivariational Inequalities: Existence and Optimal Control","publication_year":2021,"publication_date":"2021-01-01","ids":{"openalex":"https://openalex.org/W3139840029","doi":"https://doi.org/10.1137/19m1282210","mag":"3139840029"},"language":"en","primary_location":{"id":"doi:10.1137/19m1282210","is_oa":false,"landing_page_url":"https://doi.org/10.1137/19m1282210","pdf_url":null,"source":{"id":"https://openalex.org/S897311980","display_name":"SIAM Journal on Control and Optimization","issn_l":"0363-0129","issn":["0363-0129","1095-7138"],"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 Control and Optimization","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://ruj.uj.edu.pl/xmlui/handle/item/271780","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5028260946","display_name":"Shengda Zeng","orcid":"https://orcid.org/0000-0003-1818-842X"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Shengda Zeng","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0003-1818-842X","affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5082850653","display_name":"Stanis\u0142aw Mig\u00f3rski","orcid":"https://orcid.org/0000-0002-3299-9168"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Stanis\u0142aw Mig\u00f3rski","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0002-3299-9168","affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5013676704","display_name":"Akhtar A. Khan","orcid":"https://orcid.org/0000-0002-8229-6604"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Akhtar A. Khan","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5028260946"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":16.2849,"has_fulltext":false,"cited_by_count":133,"citation_normalized_percentile":{"value":0.99366889,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":99,"max":100},"biblio":{"volume":"59","issue":"2","first_page":"1246","last_page":"1274"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12809","display_name":"Contact Mechanics and Variational Inequalities","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/T12809","display_name":"Contact Mechanics and Variational Inequalities","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/T12252","display_name":"Mechanical stress and fatigue analysis","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12197","display_name":"Brake Systems and Friction Analysis","score":0.9976999759674072,"subfield":{"id":"https://openalex.org/subfields/2203","display_name":"Automotive 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":0.8791675567626953},{"id":"https://openalex.org/keywords/subderivative","display_name":"Subderivative","score":0.7110568284988403},{"id":"https://openalex.org/keywords/banach-space","display_name":"Banach space","score":0.6310320496559143},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6003393530845642},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.5516607761383057},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.5422128438949585},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5302621722221375},{"id":"https://openalex.org/keywords/existence-theorem","display_name":"Existence theorem","score":0.4286465346813202},{"id":"https://openalex.org/keywords/fixed-point-theorem","display_name":"Fixed-point theorem","score":0.42416203022003174},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.4232638478279114},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.39437294006347656},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.22884580492973328},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.12055423855781555}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8791675567626953},{"id":"https://openalex.org/C200661725","wikidata":"https://www.wikidata.org/wiki/Q289500","display_name":"Subderivative","level":4,"score":0.7110568284988403},{"id":"https://openalex.org/C132954091","wikidata":"https://www.wikidata.org/wiki/Q194397","display_name":"Banach space","level":2,"score":0.6310320496559143},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6003393530845642},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5516607761383057},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.5422128438949585},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5302621722221375},{"id":"https://openalex.org/C2776548862","wikidata":"https://www.wikidata.org/wiki/Q2694495","display_name":"Existence theorem","level":2,"score":0.4286465346813202},{"id":"https://openalex.org/C45962547","wikidata":"https://www.wikidata.org/wiki/Q1422068","display_name":"Fixed-point theorem","level":2,"score":0.42416203022003174},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.4232638478279114},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.39437294006347656},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.22884580492973328},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.12055423855781555},{"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":3,"locations":[{"id":"doi:10.1137/19m1282210","is_oa":false,"landing_page_url":"https://doi.org/10.1137/19m1282210","pdf_url":null,"source":{"id":"https://openalex.org/S897311980","display_name":"SIAM Journal on Control and Optimization","issn_l":"0363-0129","issn":["0363-0129","1095-7138"],"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 Control and Optimization","raw_type":"journal-article"},{"id":"pmh:oai:ruj.uj.edu.pl:item/271780","is_oa":true,"landing_page_url":"https://ruj.uj.edu.pl/xmlui/handle/item/271780","pdf_url":null,"source":{"id":"https://openalex.org/S4306400316","display_name":"Homo Politicus (Academy of Humanities and Economics in Lodz)","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":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"artyku\u0142 w czasopi\u015bmie"},{"id":"pmh:oai:zenodo.org:12686912","is_oa":true,"landing_page_url":"https://doi.org/10.1137/19M1282210","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/other"}],"best_oa_location":{"id":"pmh:oai:ruj.uj.edu.pl:item/271780","is_oa":true,"landing_page_url":"https://ruj.uj.edu.pl/xmlui/handle/item/271780","pdf_url":null,"source":{"id":"https://openalex.org/S4306400316","display_name":"Homo Politicus (Academy of Humanities and Economics in Lodz)","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":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"artyku\u0142 w czasopi\u015bmie"},"sustainable_development_goals":[{"score":0.8199999928474426,"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities"}],"awards":[{"id":"https://openalex.org/G407865759","display_name":null,"funder_award_id":"2017/25/N/ST1/00611","funder_id":"https://openalex.org/F4320322511","funder_display_name":"Narodowe Centrum Nauki"},{"id":"https://openalex.org/G461778075","display_name":null,"funder_award_id":"G2020ZK07","funder_id":"https://openalex.org/F4320329507","funder_display_name":"Yulin Normal University"},{"id":"https://openalex.org/G4902843723","display_name":null,"funder_award_id":"12001478","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5343597920","display_name":null,"funder_award_id":"2018GXNSFAA281353","funder_id":"https://openalex.org/F4320322768","funder_display_name":"Natural Science Foundation of Guangxi Province"},{"id":"https://openalex.org/G5538729191","display_name":null,"funder_award_id":"4004/GGPJII/H2020/2018/0","funder_id":"https://openalex.org/F4320322733","funder_display_name":"Ministerstwo Edukacji i Nauki"},{"id":"https://openalex.org/G6065754135","display_name":"Nonsmooth Contact Dynamics","funder_award_id":"823731","funder_id":"https://openalex.org/F4320338337","funder_display_name":"H2020 Marie Sk\u0142odowska-Curie Actions"},{"id":"https://openalex.org/G6119694667","display_name":null,"funder_award_id":"2018KYQD06","funder_id":"https://openalex.org/F4320329331","funder_display_name":"Beibu Gulf University"},{"id":"https://openalex.org/G935305331","display_name":null,"funder_award_id":"440328/PnH2/2019","funder_id":"https://openalex.org/F4320322733","funder_display_name":"Ministerstwo Edukacji i Nauki"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320322511","display_name":"Narodowe Centrum Nauki","ror":"https://ror.org/03ha2q922"},{"id":"https://openalex.org/F4320322733","display_name":"Ministerstwo Edukacji i Nauki","ror":"https://ror.org/05dwvd537"},{"id":"https://openalex.org/F4320322768","display_name":"Natural Science Foundation of Guangxi Province","ror":null},{"id":"https://openalex.org/F4320329331","display_name":"Beibu Gulf University","ror":"https://ror.org/031j0at32"},{"id":"https://openalex.org/F4320329507","display_name":"Yulin Normal University","ror":"https://ror.org/00445hv47"},{"id":"https://openalex.org/F4320338337","display_name":"H2020 Marie Sk\u0142odowska-Curie Actions","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":37,"referenced_works":["https://openalex.org/W1973886405","https://openalex.org/W1979214334","https://openalex.org/W1982263917","https://openalex.org/W2000865844","https://openalex.org/W2004021820","https://openalex.org/W2004104391","https://openalex.org/W2007225098","https://openalex.org/W2019821278","https://openalex.org/W2041603593","https://openalex.org/W2056390735","https://openalex.org/W2066156741","https://openalex.org/W2074629902","https://openalex.org/W2106794567","https://openalex.org/W2149198107","https://openalex.org/W2234239318","https://openalex.org/W2238943295","https://openalex.org/W2396438430","https://openalex.org/W2466861324","https://openalex.org/W2530141798","https://openalex.org/W2530380699","https://openalex.org/W2555530172","https://openalex.org/W2616991700","https://openalex.org/W2740013339","https://openalex.org/W2758840356","https://openalex.org/W2767056423","https://openalex.org/W2768559358","https://openalex.org/W2774372052","https://openalex.org/W2794741543","https://openalex.org/W2883907377","https://openalex.org/W2886977095","https://openalex.org/W2909065560","https://openalex.org/W2943791922","https://openalex.org/W2963838283","https://openalex.org/W3099364443","https://openalex.org/W3101287369","https://openalex.org/W3102515670","https://openalex.org/W4246105296"],"related_works":["https://openalex.org/W2367641551","https://openalex.org/W2010057865","https://openalex.org/W3040162855","https://openalex.org/W2481151534","https://openalex.org/W2363028408","https://openalex.org/W3212473031","https://openalex.org/W2392736212","https://openalex.org/W2572977016","https://openalex.org/W2063036314","https://openalex.org/W2364060407"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3,39,62],"investigate":[4],"a":[5,12,16,24,67,82,105,124,137],"generalized":[6],"nonlinear":[7],"quasi-hemivariational":[8],"inequality":[9,49],"(QHI)":[10],"involving":[11,104],"multivalued":[13,125],"map":[14],"in":[15,115],"Banach":[17],"space.":[18],"Under":[19],"general":[20],"assumptions,":[21],"by":[22,77,123],"using":[23],"fixed":[25],"point":[26],"theorem":[27],"combined":[28],"with":[29,100,133,141],"the":[30,36,42,47,52,64,86,101,128,142],"theory":[31],"of":[32,44,66,95,127,146],"nonsmooth":[33],"analysis":[34],"and":[35,59,81,136],"Minty":[37],"technique,":[38],"prove":[40,63],"that":[41],"set":[43],"solutions":[45],"for":[46,85],"hemivariational":[48],"associated":[50],"to":[51,69],"QHI":[53],"problem":[54,75,89,99],"is":[55,79,90,109],"nonempty,":[56],"bounded,":[57],"closed,":[58],"convex.":[60],"Then,":[61],"existence":[65],"solution":[68],"QHI.":[70],"Furthermore,":[71],"an":[72,93,96,112],"optimal":[73,87],"control":[74,88],"governed":[76],"QVI":[78],"introduced,":[80],"solvability":[83],"result":[84],"established.":[91],"Finally,":[92],"approximation":[94],"elastic":[97],"contact":[98,118,131,139],"constitutive":[102],"law":[103,140],"convex":[106],"subdifferential":[107],"inclusion":[108],"studied":[110],"as":[111],"illustrative":[113],"application,":[114],"which":[116],"approximate":[117],"boundary":[119],"conditions":[120],"are":[121],"described":[122],"version":[126],"normal":[129],"compliance":[130],"condition":[132],"frictionless":[134],"effect":[135],"frictional":[138],"slip":[143],"dependent":[144],"coefficient":[145],"friction.":[147]},"counts_by_year":[{"year":2026,"cited_by_count":12},{"year":2025,"cited_by_count":14},{"year":2024,"cited_by_count":30},{"year":2023,"cited_by_count":37},{"year":2022,"cited_by_count":26},{"year":2021,"cited_by_count":14}],"updated_date":"2026-05-08T15:41:06.802602","created_date":"2025-10-10T00:00:00"}
