{"id":"https://openalex.org/W2063141400","doi":"https://doi.org/10.1007/s10107-015-0877-2","title":"A nonsmooth Robinson\u2019s inverse function theorem in Banach spaces","display_name":"A nonsmooth Robinson\u2019s inverse function theorem in Banach spaces","publication_year":2015,"publication_date":"2015-03-02","ids":{"openalex":"https://openalex.org/W2063141400","doi":"https://doi.org/10.1007/s10107-015-0877-2","mag":"2063141400"},"language":"en","primary_location":{"id":"doi:10.1007/s10107-015-0877-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10107-015-0877-2","pdf_url":null,"source":{"id":"https://openalex.org/S193920097","display_name":"Mathematical Programming","issn_l":"0025-5610","issn":["0025-5610","1436-4646"],"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":"Mathematical Programming","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/A5089016981","display_name":"Radek Cibulka","orcid":"https://orcid.org/0000-0002-3626-4652"},"institutions":[{"id":"https://openalex.org/I92715842","display_name":"University of West Bohemia in Pilsen","ror":"https://ror.org/040t43x18","country_code":"CZ","type":"education","lineage":["https://openalex.org/I92715842"]}],"countries":["CZ"],"is_corresponding":false,"raw_author_name":"R. Cibulka","raw_affiliation_strings":["NTIS - New Technologies for the Information Society and Department of Mathematics, Faculty of Applied Sciences, University of West Bohemia, Univerzitn\u00ed 22, 306 14, Plze\u0148, Czech Republic","NTIS - New Technologies for the Information Society and Department of Mathematics, Faculty of Applied Sciences, University of West Bohemia#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"NTIS - New Technologies for the Information Society and Department of Mathematics, Faculty of Applied Sciences, University of West Bohemia, Univerzitn\u00ed 22, 306 14, Plze\u0148, Czech Republic","institution_ids":["https://openalex.org/I92715842"]},{"raw_affiliation_string":"NTIS - New Technologies for the Information Society and Department of Mathematics, Faculty of Applied Sciences, University of West Bohemia#TAB#","institution_ids":["https://openalex.org/I92715842"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5083269925","display_name":"Asen L. Dontchev","orcid":"https://orcid.org/0000-0003-3160-7828"},"institutions":[{"id":"https://openalex.org/I27837315","display_name":"University of Michigan","ror":"https://ror.org/00jmfr291","country_code":"US","type":"education","lineage":["https://openalex.org/I27837315"]},{"id":"https://openalex.org/I4210159850","display_name":"Annual Reviews","ror":"https://ror.org/05r2g1b90","country_code":"US","type":"nonprofit","lineage":["https://openalex.org/I4210159850"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"A. L. Dontchev","raw_affiliation_strings":["Mathematical Reviews and Department of Mathematics, The University of Michigan, Ann Arbor, MI, USA","Mathematical Reviews and Department of Mathematics, The University of Michigan, Ann Arbor, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematical Reviews and Department of Mathematics, The University of Michigan, Ann Arbor, MI, USA","institution_ids":["https://openalex.org/I4210159850","https://openalex.org/I27837315"]},{"raw_affiliation_string":"Mathematical Reviews and Department of Mathematics, The University of Michigan, Ann Arbor, USA","institution_ids":["https://openalex.org/I27837315"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5083269925"],"corresponding_institution_ids":["https://openalex.org/I27837315","https://openalex.org/I4210159850"],"apc_list":{"value":2190,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":1.9653,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.85134592,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"156","issue":"1-2","first_page":"257","last_page":"270"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9939000010490417,"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":0.9939000010490417,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9829999804496765,"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":0.977400004863739,"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/mathematics","display_name":"Mathematics","score":0.9115224480628967},{"id":"https://openalex.org/keywords/inverse-function-theorem","display_name":"Inverse function theorem","score":0.7987186908721924},{"id":"https://openalex.org/keywords/banach-space","display_name":"Banach space","score":0.7723388671875},{"id":"https://openalex.org/keywords/implicit-function-theorem","display_name":"Implicit function theorem","score":0.5704589486122131},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.5453786253929138},{"id":"https://openalex.org/keywords/bounded-inverse-theorem","display_name":"Bounded inverse theorem","score":0.5388926863670349},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.5329431295394897},{"id":"https://openalex.org/keywords/extension","display_name":"Extension (predicate logic)","score":0.4881938099861145},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4566369354724884},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4505506157875061},{"id":"https://openalex.org/keywords/inverse-function","display_name":"Inverse function","score":0.42158788442611694},{"id":"https://openalex.org/keywords/eberlein\u2013\u0161mulian-theorem","display_name":"Eberlein\u2013\u0160mulian theorem","score":0.420573353767395},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.39794275164604187},{"id":"https://openalex.org/keywords/picard\u2013lindel\u00f6f-theorem","display_name":"Picard\u2013Lindel\u00f6f theorem","score":0.3110721707344055},{"id":"https://openalex.org/keywords/fixed-point-theorem","display_name":"Fixed-point theorem","score":0.29660412669181824},{"id":"https://openalex.org/keywords/lp-space","display_name":"Lp space","score":0.17108187079429626},{"id":"https://openalex.org/keywords/finite-rank-operator","display_name":"Finite-rank operator","score":0.11699250340461731}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9115224480628967},{"id":"https://openalex.org/C43987214","wikidata":"https://www.wikidata.org/wiki/Q931001","display_name":"Inverse function theorem","level":4,"score":0.7987186908721924},{"id":"https://openalex.org/C132954091","wikidata":"https://www.wikidata.org/wiki/Q194397","display_name":"Banach space","level":2,"score":0.7723388671875},{"id":"https://openalex.org/C138578839","wikidata":"https://www.wikidata.org/wiki/Q848375","display_name":"Implicit function theorem","level":2,"score":0.5704589486122131},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.5453786253929138},{"id":"https://openalex.org/C93796298","wikidata":"https://www.wikidata.org/wiki/Q4949984","display_name":"Bounded inverse theorem","level":4,"score":0.5388926863670349},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.5329431295394897},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.4881938099861145},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4566369354724884},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4505506157875061},{"id":"https://openalex.org/C140528856","wikidata":"https://www.wikidata.org/wiki/Q191884","display_name":"Inverse function","level":3,"score":0.42158788442611694},{"id":"https://openalex.org/C184908153","wikidata":"https://www.wikidata.org/wiki/Q2226650","display_name":"Eberlein\u2013\u0160mulian theorem","level":4,"score":0.420573353767395},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.39794275164604187},{"id":"https://openalex.org/C206929604","wikidata":"https://www.wikidata.org/wiki/Q530152","display_name":"Picard\u2013Lindel\u00f6f theorem","level":3,"score":0.3110721707344055},{"id":"https://openalex.org/C45962547","wikidata":"https://www.wikidata.org/wiki/Q1422068","display_name":"Fixed-point theorem","level":2,"score":0.29660412669181824},{"id":"https://openalex.org/C172294467","wikidata":"https://www.wikidata.org/wiki/Q305936","display_name":"Lp space","level":3,"score":0.17108187079429626},{"id":"https://openalex.org/C99392333","wikidata":"https://www.wikidata.org/wiki/Q5450385","display_name":"Finite-rank operator","level":3,"score":0.11699250340461731},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","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/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10107-015-0877-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10107-015-0877-2","pdf_url":null,"source":{"id":"https://openalex.org/S193920097","display_name":"Mathematical Programming","issn_l":"0025-5610","issn":["0025-5610","1436-4646"],"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":"Mathematical Programming","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W21204387","https://openalex.org/W82519427","https://openalex.org/W581038412","https://openalex.org/W1525781748","https://openalex.org/W1551360398","https://openalex.org/W1579781026","https://openalex.org/W1993647205","https://openalex.org/W1997015026","https://openalex.org/W2018119054","https://openalex.org/W2027378843","https://openalex.org/W2030322501","https://openalex.org/W2053305504","https://openalex.org/W2073329629","https://openalex.org/W2138718381","https://openalex.org/W2292832864","https://openalex.org/W2496276084","https://openalex.org/W2774032669"],"related_works":["https://openalex.org/W2247514228","https://openalex.org/W4293417932","https://openalex.org/W3129229278","https://openalex.org/W2347049040","https://openalex.org/W1802683367","https://openalex.org/W3197876738","https://openalex.org/W1983886663","https://openalex.org/W2380576583","https://openalex.org/W3175156163","https://openalex.org/W1965121594"],"abstract_inverted_index":null,"counts_by_year":[{"year":2022,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1}],"updated_date":"2026-06-19T15:47:20.252518","created_date":"2025-10-10T00:00:00"}
