{"id":"https://openalex.org/W3216976746","doi":"https://doi.org/10.1007/s10957-021-01974-0","title":"Newton\u2019s Method for Solving Generalized Equations Without Lipschitz Condition","display_name":"Newton\u2019s Method for Solving Generalized Equations Without Lipschitz Condition","publication_year":2021,"publication_date":"2021-11-29","ids":{"openalex":"https://openalex.org/W3216976746","doi":"https://doi.org/10.1007/s10957-021-01974-0","mag":"3216976746"},"language":"en","primary_location":{"id":"doi:10.1007/s10957-021-01974-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10957-021-01974-0","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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100711909","display_name":"Jiaxi Wang","orcid":"https://orcid.org/0000-0002-8138-4143"},"institutions":[{"id":"https://openalex.org/I120825670","display_name":"Yunnan Normal University","ror":"https://ror.org/00sc9n023","country_code":"CN","type":"education","lineage":["https://openalex.org/I120825670"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Jiaxi Wang","raw_affiliation_strings":["School of Mathematics, Yunnan Normal University, Kunming, 650500, People\u2019s Republic of China","School of Mathematics, Yunnan Normal University, Kunming, People\u2019s Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics, Yunnan Normal University, Kunming, 650500, People\u2019s Republic of China","institution_ids":["https://openalex.org/I120825670"]},{"raw_affiliation_string":"School of Mathematics, Yunnan Normal University, Kunming, People\u2019s Republic of China","institution_ids":["https://openalex.org/I120825670"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101622501","display_name":"Wei Ouyang","orcid":"https://orcid.org/0000-0003-4863-6609"},"institutions":[{"id":"https://openalex.org/I120825670","display_name":"Yunnan Normal University","ror":"https://ror.org/00sc9n023","country_code":"CN","type":"education","lineage":["https://openalex.org/I120825670"]},{"id":"https://openalex.org/I189210763","display_name":"Yunnan University","ror":"https://ror.org/0040axw97","country_code":"CN","type":"education","lineage":["https://openalex.org/I189210763"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wei Ouyang","raw_affiliation_strings":["Key Laboratory of Complex System Modeling and Application for Universities in Yunnan, Kunming, 650500, People\u2019s Republic of China","School of Mathematics, Yunnan Normal University, Kunming, 650500, People\u2019s Republic of China","Key Laboratory of Complex System Modeling and Application for Universities in Yunnan, Kunming, People\u2019s Republic of China","School of Mathematics, Yunnan Normal University, Kunming, People\u2019s Republic of China"],"raw_orcid":"https://orcid.org/0000-0003-4863-6609","affiliations":[{"raw_affiliation_string":"Key Laboratory of Complex System Modeling and Application for Universities in Yunnan, Kunming, 650500, People\u2019s Republic of China","institution_ids":["https://openalex.org/I189210763"]},{"raw_affiliation_string":"School of Mathematics, Yunnan Normal University, Kunming, 650500, People\u2019s Republic of China","institution_ids":["https://openalex.org/I120825670"]},{"raw_affiliation_string":"Key Laboratory of Complex System Modeling and Application for Universities in Yunnan, Kunming, People\u2019s Republic of China","institution_ids":["https://openalex.org/I189210763"]},{"raw_affiliation_string":"School of Mathematics, Yunnan Normal University, Kunming, People\u2019s Republic of China","institution_ids":["https://openalex.org/I120825670"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5100711909"],"corresponding_institution_ids":["https://openalex.org/I120825670"],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":null,"fwci":1.7655,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.83206879,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":98},"biblio":{"volume":"192","issue":"2","first_page":"510","last_page":"532"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9972000122070312,"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"}},"topics":[{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9972000122070312,"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/T10545","display_name":"Optimization and Variational Analysis","score":0.9965999722480774,"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/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":0.9959999918937683,"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/calmness","display_name":"Calmness","score":0.8928243517875671},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8624856472015381},{"id":"https://openalex.org/keywords/lipschitz-continuity","display_name":"Lipschitz continuity","score":0.8376076221466064},{"id":"https://openalex.org/keywords/newtons-method","display_name":"Newton's method","score":0.601317822933197},{"id":"https://openalex.org/keywords/banach-space","display_name":"Banach space","score":0.5986181497573853},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.5850141048431396},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5351292490959167},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5178516507148743},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4760589301586151},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.43131235241889954},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.32198381423950195},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.20535269379615784},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.10196265578269958}],"concepts":[{"id":"https://openalex.org/C2778712213","wikidata":"https://www.wikidata.org/wiki/Q20740046","display_name":"Calmness","level":2,"score":0.8928243517875671},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8624856472015381},{"id":"https://openalex.org/C22324862","wikidata":"https://www.wikidata.org/wiki/Q652707","display_name":"Lipschitz continuity","level":2,"score":0.8376076221466064},{"id":"https://openalex.org/C85189116","wikidata":"https://www.wikidata.org/wiki/Q374195","display_name":"Newton's method","level":3,"score":0.601317822933197},{"id":"https://openalex.org/C132954091","wikidata":"https://www.wikidata.org/wiki/Q194397","display_name":"Banach space","level":2,"score":0.5986181497573853},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.5850141048431396},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5351292490959167},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5178516507148743},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4760589301586151},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.43131235241889954},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.32198381423950195},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.20535269379615784},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.10196265578269958},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C118552586","wikidata":"https://www.wikidata.org/wiki/Q7867","display_name":"Psychiatry","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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10957-021-01974-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10957-021-01974-0","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:RePEc:spr:joptap:v:192:y:2022:i:2:d:10.1007_s10957-021-01974-0","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s10957-021-01974-0","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":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G445835215","display_name":null,"funder_award_id":"11801500","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W388179047","https://openalex.org/W612879516","https://openalex.org/W1522222833","https://openalex.org/W1528330203","https://openalex.org/W1972014778","https://openalex.org/W1974950672","https://openalex.org/W1982027431","https://openalex.org/W1982110324","https://openalex.org/W2016599513","https://openalex.org/W2025702035","https://openalex.org/W2063506355","https://openalex.org/W2086637754","https://openalex.org/W2107501462","https://openalex.org/W2125946036","https://openalex.org/W2128234186","https://openalex.org/W2132528752","https://openalex.org/W2166043714","https://openalex.org/W2496276084","https://openalex.org/W2748423750","https://openalex.org/W2766254243","https://openalex.org/W2788034879","https://openalex.org/W2801445168","https://openalex.org/W2898292060","https://openalex.org/W2962882678","https://openalex.org/W2963179500","https://openalex.org/W2971776330","https://openalex.org/W3006274790","https://openalex.org/W3122244759","https://openalex.org/W4231183558"],"related_works":["https://openalex.org/W2358490822","https://openalex.org/W3086329158","https://openalex.org/W4286813019","https://openalex.org/W3011250038","https://openalex.org/W2009214374","https://openalex.org/W2019985658","https://openalex.org/W4387720664","https://openalex.org/W2153743214","https://openalex.org/W2087034358","https://openalex.org/W2001612753"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":2}],"updated_date":"2026-07-25T09:21:30.201066","created_date":"2025-10-10T00:00:00"}