{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,23]],"date-time":"2025-07-23T12:06:05Z","timestamp":1753272365388},"reference-count":20,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2005,5,1]],"date-time":"2005-05-01T00:00:00Z","timestamp":1114905600000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Comput Optim Applic"],"published-print":{"date-parts":[[2005,5]]},"DOI":"10.1007\/s10589-005-1104-5","type":"journal-article","created":{"date-parts":[[2005,5,17]],"date-time":"2005-05-17T13:40:08Z","timestamp":1116337208000},"page":"57-67","source":"Crossref","is-referenced-by-count":8,"title":["A General Iterative Procedure for Solving Nonsmooth Generalized Equations"],"prefix":"10.1007","volume":"31","author":[{"given":"Michel H.","family":"Geoffroy","sequence":"first","affiliation":[]},{"given":"Alain","family":"Pietrus","sequence":"additional","affiliation":[]}],"member":"297","reference":[{"key":"1104_CR1","doi-asserted-by":"crossref","first-page":"87","DOI":"10.1287\/moor.9.1.87","volume":"9","author":"J.P. Aubin","year":"1984","unstructured":"J.P. Aubin, \u201cLipschitz behavior of solutions to convex minimization problems,\u201d Mathematics of Operations Research, vol. 9, pp. 87\u2013111, 1984.","journal-title":"Mathematics of Operations Research"},{"key":"1104_CR2","volume-title":"Set-Valued Analysis","author":"J.P. Aubin","year":"1990","unstructured":"J.P. Aubin and H. Frankowska, Set-Valued Analysis, Birkh\u00e4user, Boston, 1990."},{"issue":"I","key":"1104_CR3","first-page":"327","volume":"322","author":"A.L. Dontchev","year":"1996","unstructured":"A.L. Dontchev, \u201cLocal convergence of the Newton method for generalized equation,\u201d C.R.A.S Paris, vol. 322, Serie I, pp. 327\u2013331, 1996.","journal-title":"C.R.A.S Paris"},{"key":"1104_CR4","unstructured":"A.L. Dontchev, \u201cLocal analysis of a Newton-type method based on partial linearization,\u201d in The Mathematics of Numerical Analysis, Renegar, James et al. (Eds.), 1995 AMS-SIAM Summer Seminar in Applied Mathematics, Providence, RI: AMS. Lect. Appl. Math., vol., 32, pp. 295\u2013306, 1996."},{"key":"1104_CR5","doi-asserted-by":"crossref","first-page":"481","DOI":"10.1090\/S0002-9939-1994-1215027-7","volume":"121","author":"A.L. Dontchev","year":"1994","unstructured":"A.L. Dontchev and W.W. Hager, \u201cAn inverse function theorem for set-valued maps,\u201d Proc. Amer. Math. Soc., vol. 121, pp. 481\u2013489, 1994.","journal-title":"Proc. Amer. Math. Soc."},{"issue":"4","key":"1104_CR6","doi-asserted-by":"crossref","first-page":"1087","DOI":"10.1137\/S1052623495284029","volume":"6","author":"A.L. Dontchev","year":"1996","unstructured":"A.L. Dontchev and R.T. Rockafellar, \u201cCharacterizations of strong regularity for variational inequalities over polyhedral convex sets,\u201d SIAM J. Optim, vol. 6, no. 4, pp. 1087\u20131105, 1996.","journal-title":"SIAM J. Optim"},{"issue":"3","key":"1104_CR7","first-page":"385","volume":"22","author":"A.L. Dontchev","year":"1996","unstructured":"A.L. Dontchev, \u201cUniform convergence of the Newton method for Aubin continuous maps,\u2019 Serdica Math. J., vol. 22, no. 3, pp. 385\u2013398, 1996.","journal-title":"Serdica Math. J"},{"key":"1104_CR8","volume-title":"Finite-Dimensional Variational Inequalities and Complementarity Problems, Springer Series in Operations Research","author":"F. Facchinei","year":"2003","unstructured":"F. Facchinei and J.-S. Pang, Finite-Dimensional Variational Inequalities and Complementarity Problems, Springer Series in Operations Research, Springer-Verlag, New York, 2003."},{"issue":"4","key":"1104_CR9","doi-asserted-by":"crossref","first-page":"669","DOI":"10.1137\/S0036144595285963","volume":"39","author":"M.C. Ferris","year":"1997","unstructured":"M.C. Ferris and J.S. Pang, \u201cEngineering and economic applications of complementarity problems,\u201d SIAM Rev., vol. 39, no. 4, pp. 669\u2013713, 1997.","journal-title":"SIAM Rev"},{"key":"1104_CR10","unstructured":"M.H. Geoffroy, S. Hilout, and A. Pi\u00e9trus, \u201cAcceleration of convergence in Donctchev\u2019s iterative methods for solving variational inclusions,\u201d Serdica Math. J., pp. 45\u201354, 2003."},{"key":"1104_CR11","unstructured":"M.H. Geoffroy and A. Pi\u00e9trus, A Superquadratic Method for Solving Generalized Equations in the H\u00f6lder Case, Ricerche Di Matematica, vol. LII, fasc. 2, pp. 231\u2013240, 2003."},{"key":"1104_CR12","doi-asserted-by":"crossref","unstructured":"M.H. Geoffroy and A. Pi\u00e9trus, \u201cLocal convergence of some iterative methods for generalized equation,\u201d J. Math. Anal. Appl., no. 2, pp. 497\u2013505, 2004.","DOI":"10.1016\/j.jmaa.2003.10.008"},{"key":"1104_CR13","volume-title":"Theory of Extremal Problems","author":"A.D. Ioffe","year":"1979","unstructured":"A.D. Ioffe and V.M. Tikhomirov, Theory of Extremal Problems, North Holland: Amsterdam, 1979."},{"key":"1104_CR14","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1090\/S0002-9947-1993-1156300-4","volume":"340","author":"B.S. Mordukhovich","year":"1993","unstructured":"B.S. Mordukhovich, \u201cComplete characterization of openess metric regularity and Lipschitzian properties of multifunctions,\u201d Trans. Amer. Math. Soc, vol. 340, pp. 1\u201336, 1993.","journal-title":"Trans. Amer. Math. Soc"},{"issue":"2","key":"1104_CR15","first-page":"49","volume":"32","author":"A. Pietrus","year":"2000","unstructured":"A. Pietrus, \u201cDoes Newton\u2019s method converges uniformly in mild differentiability context?\u201d Revista Colombiana de Matematicas, vol. 32, no. 2, pp. 49\u201356, 2000.","journal-title":"Revista Colombiana de Matematicas"},{"issue":"1","key":"1104_CR16","first-page":"15","volume":"94","author":"A. Pietrus","year":"2000","unstructured":"A. Pietrus, \u201cGeneralized equation under mild differentiability conditions,\u201d Revista de la Real Academia de Ciencias Exactas de Madrid, vol. 94, no. 1, pp. 15\u201318, 2000.","journal-title":"Revista de la Real Academia de Ciencias Exactas de Madrid"},{"key":"1104_CR17","doi-asserted-by":"crossref","first-page":"691","DOI":"10.1287\/moor.17.3.691","volume":"17","author":"S.M. Robinson","year":"1992","unstructured":"S.M. Robinson, \u201cNormal maps induced by linear transformations,\u201d Math. Oper. Res., vol. 17, pp. 691\u2013714, 1992.","journal-title":"Math. Oper. Res."},{"key":"1104_CR18","doi-asserted-by":"crossref","first-page":"291","DOI":"10.1007\/BF01027107","volume":"2","author":"S.M. Robinson","year":"1994","unstructured":"S.M. Robinson, \u201cNewton\u2019s method for a class of nonsmooth functions,\u201d Set-Valued Anal, vol. 2, pp. 291\u2013305, 1994.","journal-title":"Set-Valued Anal"},{"key":"1104_CR19","doi-asserted-by":"crossref","unstructured":"R.T. Rockafellar, \u201cLipschitzian properties of multifunctions, nonlinear analysis,\u201d vol. 9, pp. 867\u2013885, 1984.","DOI":"10.1016\/0362-546X(85)90024-0"},{"key":"1104_CR20","doi-asserted-by":"crossref","unstructured":"R.T. Rockafellar and R. Wets, Variational Analysis. A Series of Comprehensive Studies in Mathematics, Springer, vol. 317, 1998.","DOI":"10.1007\/978-3-642-02431-3"}],"container-title":["Computational Optimization and Applications"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10589-005-1104-5.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10589-005-1104-5\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10589-005-1104-5","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,4,7]],"date-time":"2020-04-07T10:37:17Z","timestamp":1586255837000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10589-005-1104-5"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2005,5]]},"references-count":20,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2005,5]]}},"alternative-id":["1104"],"URL":"https:\/\/doi.org\/10.1007\/s10589-005-1104-5","relation":{},"ISSN":["0926-6003","1573-2894"],"issn-type":[{"value":"0926-6003","type":"print"},{"value":"1573-2894","type":"electronic"}],"subject":[],"published":{"date-parts":[[2005,5]]}}}