{"id":"https://openalex.org/W2955811159","doi":"https://doi.org/10.1007/s10957-019-01549-0","title":"On the Well-Posedness Concept in the Sense of Tykhonov","display_name":"On the Well-Posedness Concept in the Sense of Tykhonov","publication_year":2019,"publication_date":"2019-06-25","ids":{"openalex":"https://openalex.org/W2955811159","doi":"https://doi.org/10.1007/s10957-019-01549-0","mag":"2955811159"},"language":"en","primary_location":{"id":"doi:10.1007/s10957-019-01549-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10957-019-01549-0","pdf_url":null,"source":{"id":"https://openalex.org/S52430896","display_name":"Journal of Optimization Theory and Applications","issn_l":"0022-3239","issn":["0022-3239","1573-2878"],"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 Optimization Theory and Applications","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://zenodo.org/record/7492687","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5028060890","display_name":"Mircea Sofonea","orcid":"https://orcid.org/0000-0002-6110-1433"},"institutions":[{"id":"https://openalex.org/I150229711","display_name":"University of Electronic Science and Technology of China","ror":"https://ror.org/04qr3zq92","country_code":"CN","type":"education","lineage":["https://openalex.org/I150229711"]},{"id":"https://openalex.org/I151295451","display_name":"Universit\u00e9 de Perpignan","ror":"https://ror.org/03am2jy38","country_code":"FR","type":"education","lineage":["https://openalex.org/I151295451"]},{"id":"https://openalex.org/I4210155549","display_name":"Laboratoire de Math\u00e9matiques Blaise Pascal","ror":"https://ror.org/05sd5r855","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I198244214","https://openalex.org/I4210141950","https://openalex.org/I4210155549"]}],"countries":["CN","FR"],"is_corresponding":false,"raw_author_name":"Mircea Sofonea","raw_affiliation_strings":["Laboratoire de Math\u00e9matiques et Physique, University of Perpignan Via Domitia, 52 Avenue Paul Alduy, 66860, Perpignan, France","School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, 611731, Sichuan, People\u2019s Republic of China","Laboratoire de Math\u00e9matiques et Physique, University of Perpignan Via Domitia, Perpignan, France","School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, People\u2019s Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratoire de Math\u00e9matiques et Physique, University of Perpignan Via Domitia, 52 Avenue Paul Alduy, 66860, Perpignan, France","institution_ids":["https://openalex.org/I151295451","https://openalex.org/I4210155549"]},{"raw_affiliation_string":"School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, 611731, Sichuan, People\u2019s Republic of China","institution_ids":["https://openalex.org/I150229711"]},{"raw_affiliation_string":"Laboratoire de Math\u00e9matiques et Physique, University of Perpignan Via Domitia, Perpignan, France","institution_ids":["https://openalex.org/I151295451","https://openalex.org/I4210155549"]},{"raw_affiliation_string":"School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, People\u2019s Republic of China","institution_ids":["https://openalex.org/I150229711"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5080881249","display_name":"Yi\u2010bin Xiao","orcid":"https://orcid.org/0000-0002-0676-7662"},"institutions":[{"id":"https://openalex.org/I150229711","display_name":"University of Electronic Science and Technology of China","ror":"https://ror.org/04qr3zq92","country_code":"CN","type":"education","lineage":["https://openalex.org/I150229711"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yi-bin Xiao","raw_affiliation_strings":["School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, 611731, Sichuan, People\u2019s Republic of China","School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, People\u2019s Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, 611731, Sichuan, People\u2019s Republic of China","institution_ids":["https://openalex.org/I150229711"]},{"raw_affiliation_string":"School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, People\u2019s Republic of China","institution_ids":["https://openalex.org/I150229711"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5080881249"],"corresponding_institution_ids":["https://openalex.org/I150229711"],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":null,"fwci":3.02,"has_fulltext":true,"cited_by_count":20,"citation_normalized_percentile":{"value":0.92196142,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"183","issue":"1","first_page":"139","last_page":"157"},"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/T10514","display_name":"Numerical methods in engineering","score":0.9965000152587891,"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/T11205","display_name":"Numerical methods in inverse problems","score":0.996399998664856,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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":0.8940356969833374},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.6859017610549927},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.5705460906028748},{"id":"https://openalex.org/keywords/metric-space","display_name":"Metric space","score":0.5606884360313416},{"id":"https://openalex.org/keywords/sense","display_name":"Sense (electronics)","score":0.49298998713493347},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.46549591422080994},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.45884761214256287},{"id":"https://openalex.org/keywords/variational-inequality","display_name":"Variational inequality","score":0.4580245912075043},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.387473464012146},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.08222371339797974}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8940356969833374},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.6859017610549927},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.5705460906028748},{"id":"https://openalex.org/C198043062","wikidata":"https://www.wikidata.org/wiki/Q180953","display_name":"Metric space","level":2,"score":0.5606884360313416},{"id":"https://openalex.org/C143141573","wikidata":"https://www.wikidata.org/wiki/Q7450971","display_name":"Sense (electronics)","level":2,"score":0.49298998713493347},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.46549591422080994},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.45884761214256287},{"id":"https://openalex.org/C161999928","wikidata":"https://www.wikidata.org/wiki/Q4556320","display_name":"Variational inequality","level":2,"score":0.4580245912075043},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.387473464012146},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.08222371339797974},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"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},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/s10957-019-01549-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10957-019-01549-0","pdf_url":null,"source":{"id":"https://openalex.org/S52430896","display_name":"Journal of Optimization Theory and Applications","issn_l":"0022-3239","issn":["0022-3239","1573-2878"],"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 Optimization Theory and Applications","raw_type":"journal-article"},{"id":"pmh:oai:zenodo.org:7492687","is_oa":true,"landing_page_url":"https://zenodo.org/record/7492687","pdf_url":"https://zenodo.org/record/7492687","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/article"},{"id":"pmh:oai:HAL:hal-04661413v1","is_oa":false,"landing_page_url":"https://univ-perp.hal.science/hal-04661413","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Optimization Theory and Applications, 2019, 183, pp.139-157. &#x27E8;10.1007/s10957-019-01549-0&#x27E9;","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:RePEc:spr:joptap:v:183:y:2019:i:1:d:10.1007_s10957-019-01549-0","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s10957-019-01549-0","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":{"id":"pmh:oai:zenodo.org:7492687","is_oa":true,"landing_page_url":"https://zenodo.org/record/7492687","pdf_url":"https://zenodo.org/record/7492687","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/article"},"sustainable_development_goals":[{"score":0.6499999761581421,"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities"}],"awards":[{"id":"https://openalex.org/G2295935453","display_name":null,"funder_award_id":"823731 CONMECH","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G2833540710","display_name":"Nonsmooth Contact Dynamics","funder_award_id":"823731","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G5656243032","display_name":"\u63a5\u89e6\u529b\u5b66\u4e2d\u7684\u975e\u51f8\u975e\u5149\u6ed1\u53d8\u5206\u4e0d\u7b49\u5f0f\u95ee\u9898\u7814\u7a76","funder_award_id":"11771067","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8881512904","display_name":null,"funder_award_id":"2019YJ0204","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320320300","display_name":"European Commission","ror":"https://ror.org/00k4n6c32"},{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2955811159.pdf","grobid_xml":"https://content.openalex.org/works/W2955811159.grobid-xml"},"referenced_works_count":38,"referenced_works":["https://openalex.org/W34508408","https://openalex.org/W360270745","https://openalex.org/W602944961","https://openalex.org/W606230067","https://openalex.org/W611187539","https://openalex.org/W641727423","https://openalex.org/W1540131774","https://openalex.org/W1551360398","https://openalex.org/W1563865508","https://openalex.org/W1653619892","https://openalex.org/W1879839833","https://openalex.org/W1973096185","https://openalex.org/W1990759037","https://openalex.org/W1993247264","https://openalex.org/W2020815709","https://openalex.org/W2036838028","https://openalex.org/W2038829168","https://openalex.org/W2060903063","https://openalex.org/W2061175874","https://openalex.org/W2062422954","https://openalex.org/W2070540581","https://openalex.org/W2091185799","https://openalex.org/W2093591383","https://openalex.org/W2093955234","https://openalex.org/W2143441598","https://openalex.org/W2170387262","https://openalex.org/W2328682795","https://openalex.org/W2530141798","https://openalex.org/W2616991700","https://openalex.org/W2784033668","https://openalex.org/W2793674905","https://openalex.org/W2921903554","https://openalex.org/W2922185639","https://openalex.org/W2947354531","https://openalex.org/W3126440795","https://openalex.org/W3217230804","https://openalex.org/W4206111119","https://openalex.org/W4292311687"],"related_works":["https://openalex.org/W4385542742","https://openalex.org/W2037111888","https://openalex.org/W3170014661","https://openalex.org/W2909053289","https://openalex.org/W3131922696","https://openalex.org/W4229662703","https://openalex.org/W2033468445","https://openalex.org/W43918835","https://openalex.org/W4324027757","https://openalex.org/W2093863472"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":6},{"year":2020,"cited_by_count":8},{"year":2019,"cited_by_count":1}],"updated_date":"2026-07-27T08:26:11.824852","created_date":"2025-10-10T00:00:00"}
