{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T03:24:06Z","timestamp":1740108246389,"version":"3.37.3"},"reference-count":25,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[2017,6,26]],"date-time":"2017-06-26T00:00:00Z","timestamp":1498435200000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2017,6,26]],"date-time":"2017-06-26T00:00:00Z","timestamp":1498435200000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"funder":[{"DOI":"10.13039\/501100002428","name":"Austrian Science Fund","doi-asserted-by":"publisher","award":["P29190-N32"],"award-info":[{"award-number":["P29190-N32"]}],"id":[{"id":"10.13039\/501100002428","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100000923","name":"Grantov\u00e1 Agentura Cesk\u00e9 Republiky","doi-asserted-by":"publisher","award":["15-00735S"],"award-info":[{"award-number":["15-00735S"]}],"id":[{"id":"10.13039\/501100000923","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001711","name":"Australian Research Council","doi-asserted-by":"publisher","award":["DP160100854"],"award-info":[{"award-number":["DP160100854"]}],"id":[{"id":"10.13039\/501100001711","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Math Meth Oper Res"],"published-print":{"date-parts":[[2017,12]]},"DOI":"10.1007\/s00186-017-0596-y","type":"journal-article","created":{"date-parts":[[2017,6,26]],"date-time":"2017-06-26T14:51:28Z","timestamp":1498488688000},"page":"443-467","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":11,"title":["On the Aubin property of a class of parameterized variational systems"],"prefix":"10.1007","volume":"86","author":[{"given":"H.","family":"Gfrerer","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"J. V.","family":"Outrata","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2017,6,26]]},"reference":[{"key":"596_CR1","first-page":"365","volume":"15","author":"FJA Artacho","year":"2008","unstructured":"Artacho FJA, Geoffroy MH (2008) Characterrization of metric regularity of subdifferentials. J Convex Anal 15:365\u2013380","journal-title":"J Convex Anal"},{"key":"596_CR2","doi-asserted-by":"publisher","first-page":"87","DOI":"10.1287\/moor.9.1.87","volume":"9","author":"JP Aubin","year":"1984","unstructured":"Aubin JP (1984) Lipschitz behavior of solutions to convex minimization problems. Math Oper Res 9:87\u2013111","journal-title":"Math Oper Res"},{"key":"596_CR3","first-page":"123","volume":"70","author":"JF Bonnans","year":"1995","unstructured":"Bonnans JF, Sulem A (1995) Pseudopower expansion of solutions of gerneralized equations and constraint optimization problems. Math Progr 70:123\u2013148","journal-title":"Math Progr"},{"key":"596_CR4","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4612-1394-9","volume-title":"Perturbation analysis of optimization problems","author":"JF Bonnans","year":"2000","unstructured":"Bonnans JF, Shapiro A (2000) Perturbation analysis of optimization problems. Springer, New York"},{"key":"596_CR5","doi-asserted-by":"publisher","first-page":"539","DOI":"10.1007\/s10107-013-0735-z","volume":"147","author":"C Ding","year":"2014","unstructured":"Ding C, Sun D, Ye JJ (2014) First-order optimality conditions for mathematical programs with semidefinite cone complementarity constraints. Math Prog Ser A 147:539\u2013579","journal-title":"Math Prog Ser A"},{"key":"596_CR6","doi-asserted-by":"publisher","first-page":"1087","DOI":"10.1137\/S1052623495284029","volume":"7","author":"AL Dontchev","year":"1996","unstructured":"Dontchev AL, Rockafellar RT (1996) Characterizations of strong regularity for variational inequalities over polyhedral convex sets. SIAM J Optim 7:1087\u20131105","journal-title":"SIAM J Optim"},{"key":"596_CR7","doi-asserted-by":"publisher","first-page":"170","DOI":"10.1137\/S1052623400371016","volume":"1","author":"AL Dontchev","year":"2001","unstructured":"Dontchev AL, Rockafellar RT (2001) Ample parameterization of variational inclusions. SIAM J Optim 1:170\u2013187","journal-title":"SIAM J Optim"},{"key":"596_CR8","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4939-1037-3","volume-title":"Implicit functions and solution mappings","author":"AL Dontchev","year":"2014","unstructured":"Dontchev AL, Rockafellar RT (2014) Implicit functions and solution mappings. Springer, Heidelberg"},{"key":"596_CR9","first-page":"281","volume":"13","author":"AL Dontchev","year":"2006","unstructured":"Dontchev AL, Quincampoix M, Zlateva N (2006) Aubin criterion for metric regularity. J Convex Anal 13:281\u2013297","journal-title":"J Convex Anal"},{"key":"596_CR10","first-page":"1165","volume":"21","author":"D Drusvyatskiy","year":"2014","unstructured":"Drusvyatskiy D, Mordukhovich BS, Nghia TTA (2014) Second-order growth, tilt stability and metric regularity of the subdifferential. J Convex Anal 21:1165\u20131192","journal-title":"J Convex Anal"},{"key":"596_CR11","volume-title":"Finite-dimensional variational inequalities and complementarity problems II","author":"F Facchinei","year":"2003","unstructured":"Facchinei F, Pang J-S (2003) Finite-dimensional variational inequalities and complementarity problems II. Springer, New York"},{"key":"596_CR12","doi-asserted-by":"publisher","first-page":"1439","DOI":"10.1137\/100813415","volume":"21","author":"H Gfrerer","year":"2011","unstructured":"Gfrerer H (2011) First order and second order characterizations of metric subregularity and calmness of constraint set mappings. SIAM J Optim 21:1439\u20131474","journal-title":"SIAM J Optim"},{"key":"596_CR13","doi-asserted-by":"publisher","first-page":"151","DOI":"10.1007\/s11228-012-0220-5","volume":"21","author":"H Gfrerer","year":"2013","unstructured":"Gfrerer H (2013) On directional metric regularity, subregularity and optimality conditions for nonsmooth mathematical programs. Set Valued Var Anal 21:151\u2013176","journal-title":"Set Valued Var Anal"},{"key":"596_CR14","doi-asserted-by":"publisher","first-page":"2160","DOI":"10.1137\/15M1052299","volume":"26","author":"H Gfrerer","year":"2016","unstructured":"Gfrerer H, Outrata JV (2016) On Lipschitzian properties of implicit multifunctions. SIAM J. Optim 26:2160\u20132189","journal-title":"SIAM J. Optim"},{"key":"596_CR15","doi-asserted-by":"publisher","first-page":"149","DOI":"10.1016\/j.cma.2010.09.010","volume":"205\u2013208","author":"J Haslinger","year":"2012","unstructured":"Haslinger J, Janovsky V, Ligursky T (2012) Qualitative analysis of solutions to discrete static contact problems with Coulomb friction. Comput Methods Appl Mech Eng 205\u2013208:149\u2013161","journal-title":"Comput Methods Appl Mech Eng"},{"key":"596_CR16","doi-asserted-by":"publisher","first-page":"681","DOI":"10.1007\/s10957-012-0147-x","volume":"159","author":"R Henrion","year":"2013","unstructured":"Henrion R, Kruger AY, Outrata JV (2013) Some remarks on stability of generalized equations. J Optim Theory Appl 159:681\u2013697","journal-title":"J Optim Theory Appl"},{"key":"596_CR17","volume-title":"Variational analysis and generalized differentiation I","author":"BS Mordukhovich","year":"2006","unstructured":"Mordukhovich BS (2006) Variational analysis and generalized differentiation I. Springer, Heidelberg"},{"key":"596_CR18","doi-asserted-by":"publisher","first-page":"389","DOI":"10.1137\/060665609","volume":"18","author":"BS Mordukhovich","year":"2007","unstructured":"Mordukhovich BS, Outrata JV (2007) Coderivative analysis of quasi-variational inequalities with applications to stability and optimization. SIAM J Optim 18:389\u2013412","journal-title":"SIAM J Optim"},{"key":"596_CR19","doi-asserted-by":"publisher","first-page":"76","DOI":"10.1137\/120903221","volume":"25","author":"BS Mordukhovich","year":"2015","unstructured":"Mordukhovich BS, Outrata JV, Ramir\u00e9z HC (2015a) Second-order variational analysis in conic programming with application to optimality and stability. SIAM J Optim 25:76\u2013101","journal-title":"SIAM J Optim"},{"key":"596_CR20","doi-asserted-by":"publisher","first-page":"687","DOI":"10.1007\/s11228-015-0328-5","volume":"23","author":"BS Mordukhovich","year":"2015","unstructured":"Mordukhovich BS, Outrata JV, Ramir\u00e9z HC (2015b) Graphical derivative and stability analysis for parameterized equilibria with conic constraints. Set Valued Var Anal 23:687\u2013704","journal-title":"Set Valued Var Anal"},{"key":"596_CR21","doi-asserted-by":"publisher","first-page":"798","DOI":"10.1137\/100807168","volume":"21","author":"JV Outrata","year":"2011","unstructured":"Outrata JV, Ramir\u00e9z HC (2011) On Aubin property of critical points to perturbed second-order cone programs. SIAM J Optim 21:798\u2013823","journal-title":"SIAM J Optim"},{"key":"596_CR22","doi-asserted-by":"publisher","first-page":"999","DOI":"10.1007\/s11228-008-0092-x","volume":"16","author":"JV Outrata","year":"2008","unstructured":"Outrata JV, Sun DF (2008) On the coderivative of the projection operator on the second-order cone. Set-Valued Anal 16:999\u20131014","journal-title":"Set-Valued Anal"},{"key":"596_CR23","doi-asserted-by":"publisher","first-page":"206","DOI":"10.1007\/BFb0120929","volume":"14","author":"SM Robinson","year":"1981","unstructured":"Robinson SM (1981) Some continuity properties of polyhedral multifunctions. Math Prog Study 14:206\u2013214","journal-title":"Math Prog Study"},{"key":"596_CR24","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-02431-3","volume-title":"Variational analysis","author":"RT Rockafellar","year":"1998","unstructured":"Rockafellar RT, Wets RJ-B (1998) Variational analysis. Springer, Berlin"},{"key":"596_CR25","doi-asserted-by":"publisher","first-page":"2352","DOI":"10.1137\/S0036142901393814","volume":"40","author":"DF Sun","year":"2003","unstructured":"Sun DF, Sun J (2003) Strong semismoothness of eigenvalues of symmetric matrices and its applications in inverse eigenvalue problems. SIAM J Numer Anal 40:2352\u20132367","journal-title":"SIAM J Numer Anal"}],"container-title":["Mathematical Methods of Operations Research"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00186-017-0596-y\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00186-017-0596-y.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00186-017-0596-y.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,5,15]],"date-time":"2020-05-15T18:43:33Z","timestamp":1589568213000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00186-017-0596-y"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017,6,26]]},"references-count":25,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2017,12]]}},"alternative-id":["596"],"URL":"https:\/\/doi.org\/10.1007\/s00186-017-0596-y","relation":{},"ISSN":["1432-2994","1432-5217"],"issn-type":[{"type":"print","value":"1432-2994"},{"type":"electronic","value":"1432-5217"}],"subject":[],"published":{"date-parts":[[2017,6,26]]},"assertion":[{"value":"25 October 2016","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"26 June 2017","order":2,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}