{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,18]],"date-time":"2026-03-18T15:44:28Z","timestamp":1773848668456,"version":"3.50.1"},"reference-count":14,"publisher":"Springer Science and Business Media LLC","issue":"1-2","license":[{"start":{"date-parts":[[2015,3,3]],"date-time":"2015-03-03T00:00:00Z","timestamp":1425340800000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Math. Program."],"published-print":{"date-parts":[[2016,3]]},"DOI":"10.1007\/s10107-015-0877-2","type":"journal-article","created":{"date-parts":[[2015,3,2]],"date-time":"2015-03-02T14:22:41Z","timestamp":1425306161000},"page":"257-270","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":7,"title":["A nonsmooth Robinson\u2019s inverse function theorem in Banach spaces"],"prefix":"10.1007","volume":"156","author":[{"given":"R.","family":"Cibulka","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"A. L.","family":"Dontchev","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2015,3,3]]},"reference":[{"key":"877_CR1","doi-asserted-by":"crossref","first-page":"97","DOI":"10.2140\/pjm.1976.64.97","volume":"64","author":"FH Clarke","year":"1976","unstructured":"Clarke, F.H.: On the inverse function theorem. Pac. J. Math. 64, 97\u2013102 (1976)","journal-title":"Pac. J. Math."},{"key":"877_CR2","volume-title":"Optimization and Nonsmooth Analysis","author":"FH Clarke","year":"1983","unstructured":"Clarke, F.H.: Optimization and Nonsmooth Analysis. Wiley, New York (1983)"},{"key":"877_CR3","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4939-1037-3","volume-title":"Implicit Functions and Solution Mappings","author":"AL Dontchev","year":"2014","unstructured":"Dontchev, A.L., Rockafellar, R.T.: Implicit Functions and Solution Mappings, 2nd edn. Springer, Dordrecht (2014)","edition":"2"},{"key":"877_CR4","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1090\/S0002-9947-1981-0613784-7","volume":"266","author":"AD Ioffe","year":"1981","unstructured":"Ioffe, A.D.: Nonsmooth analysis: differential calculus of nondifferentiable mappings. Trans. Am. Math. Soc. 266, 1\u201356 (1981)","journal-title":"Trans. Am. Math. Soc."},{"key":"877_CR5","doi-asserted-by":"crossref","DOI":"10.1137\/1.9780898718614","volume-title":"Lagrange Multiplier Approach to Variational Problems and Applications","author":"K Ito","year":"2008","unstructured":"Ito, K., Kunisch, K.: Lagrange Multiplier Approach to Variational Problems and Applications. SIAM, Philadelphia (2008)"},{"key":"877_CR6","doi-asserted-by":"crossref","first-page":"581","DOI":"10.1007\/s10107-013-0717-1","volume":"147","author":"AF Izmailov","year":"2014","unstructured":"Izmailov, A.F.: Strongly regular nonsmooth generalized equations. Math. Program. Ser. A 147, 581\u2013590 (2014)","journal-title":"Math. Program. Ser. A"},{"key":"877_CR7","unstructured":"Klatte, D., Kummer, B.: Nonsmooth equations in optimization. Regularity, calculus, methods and applications. In: Nonconvex Optimization and Its Applications, vol. 60. Kluwer, Dordrecht (2002)"},{"key":"877_CR8","doi-asserted-by":"crossref","first-page":"35","DOI":"10.1016\/0022-247X(91)90264-Z","volume":"158","author":"B Kummer","year":"1991","unstructured":"Kummer, B.: An implicit-function theorem for $$C^{0,1}$$ C 0 , 1 -equations and parametric $$C^{1,1}$$ C 1 , 1 -optimization. J. Math. Anal. Appl. 158, 35\u201346 (1991)","journal-title":"J. Math. Anal. Appl."},{"key":"877_CR9","doi-asserted-by":"crossref","first-page":"427","DOI":"10.1007\/BF01196433","volume":"62","author":"Z P\u00e1les","year":"1994","unstructured":"P\u00e1les, Z.: Linear selections for set-valued functions and extensions of bilinear forms. Arch. Math. 62, 427\u2013432 (1994)","journal-title":"Arch. Math."},{"key":"877_CR10","doi-asserted-by":"crossref","first-page":"202","DOI":"10.1006\/jmaa.1997.5358","volume":"209","author":"Z P\u00e1les","year":"1997","unstructured":"P\u00e1les, Z.: Inverse and implicit function theorems for nonsmooth maps in Banach spaces. J. Math. Anal. Appl. 209, 202\u2013220 (1997)","journal-title":"J. Math. Anal. Appl."},{"key":"877_CR11","doi-asserted-by":"crossref","unstructured":"P\u00e1les, Z.: On abstract control problems with non-smooth data. In: Recent Advances in Optimization, pp. 205\u2013216. Springer, Berlin (2006)","DOI":"10.1007\/3-540-28258-0_13"},{"key":"877_CR12","doi-asserted-by":"crossref","first-page":"43","DOI":"10.1287\/moor.5.1.43","volume":"5","author":"SM Robinson","year":"1980","unstructured":"Robinson, S.M.: Strongly regular generalized equations. Math. Oper. Res. 5, 43\u201362 (1980)","journal-title":"Math. Oper. Res."},{"key":"877_CR13","doi-asserted-by":"crossref","first-page":"292","DOI":"10.1287\/moor.16.2.292","volume":"16","author":"SM Robinson","year":"1991","unstructured":"Robinson, S.M.: An implicit-function theorem for a class of nonsmooth functions. Math. Oper. Res. 16, 292\u2013309 (1991)","journal-title":"Math. Oper. Res."},{"key":"877_CR14","doi-asserted-by":"crossref","DOI":"10.1137\/1.9781611970692","volume-title":"Semismooth Newton Methods for Variational Inequalities and Constrained Optimization Problems in Function Spaces","author":"M Ulbrich","year":"2011","unstructured":"Ulbrich, M.: Semismooth Newton Methods for Variational Inequalities and Constrained Optimization Problems in Function Spaces. SIAM, Philadelphia (2011)"}],"container-title":["Mathematical Programming"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10107-015-0877-2.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10107-015-0877-2\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10107-015-0877-2","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,6,7]],"date-time":"2024-06-07T15:01:48Z","timestamp":1717772508000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10107-015-0877-2"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,3,3]]},"references-count":14,"journal-issue":{"issue":"1-2","published-print":{"date-parts":[[2016,3]]}},"alternative-id":["877"],"URL":"https:\/\/doi.org\/10.1007\/s10107-015-0877-2","relation":{},"ISSN":["0025-5610","1436-4646"],"issn-type":[{"value":"0025-5610","type":"print"},{"value":"1436-4646","type":"electronic"}],"subject":[],"published":{"date-parts":[[2015,3,3]]}}}