{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,16]],"date-time":"2026-05-16T05:16:08Z","timestamp":1778908568485,"version":"3.51.4"},"reference-count":47,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2022,6,27]],"date-time":"2022-06-27T00:00:00Z","timestamp":1656288000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2022,6,27]],"date-time":"2022-06-27T00:00:00Z","timestamp":1656288000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"}],"funder":[{"DOI":"10.13039\/501100001807","name":"Funda\u00e7\u00e3o de Amparo \u00e0 Pesquisa do Estado de S\u00e3o Paulo","doi-asserted-by":"publisher","award":["2017\/18308-2"],"award-info":[{"award-number":["2017\/18308-2"]}],"id":[{"id":"10.13039\/501100001807","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001807","name":"Funda\u00e7\u00e3o de Amparo \u00e0 Pesquisa do Estado de S\u00e3o Paulo","doi-asserted-by":"publisher","award":["2017\/17840-2"],"award-info":[{"award-number":["2017\/17840-2"]}],"id":[{"id":"10.13039\/501100001807","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001807","name":"Funda\u00e7\u00e3o de Amparo \u00e0 Pesquisa do Estado de S\u00e3o Paulo","doi-asserted-by":"publisher","award":["2017\/12187-9"],"award-info":[{"award-number":["2017\/12187-9"]}],"id":[{"id":"10.13039\/501100001807","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001807","name":"Funda\u00e7\u00e3o de Amparo \u00e0 Pesquisa do Estado de S\u00e3o Paulo","doi-asserted-by":"publisher","award":["2018\/24293-0"],"award-info":[{"award-number":["2018\/24293-0"]}],"id":[{"id":"10.13039\/501100001807","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001807","name":"Funda\u00e7\u00e3o de Amparo \u00e0 Pesquisa do Estado de S\u00e3o Paulo","doi-asserted-by":"publisher","award":["2020\/00130-5"],"award-info":[{"award-number":["2020\/00130-5"]}],"id":[{"id":"10.13039\/501100001807","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001807","name":"Funda\u00e7\u00e3o de Amparo \u00e0 Pesquisa do Estado de S\u00e3o Paulo","doi-asserted-by":"publisher","award":["2013\/07375-0"],"award-info":[{"award-number":["2013\/07375-0"]}],"id":[{"id":"10.13039\/501100001807","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100003593","name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico","doi-asserted-by":"publisher","award":["301888\/2017-5"],"award-info":[{"award-number":["301888\/2017-5"]}],"id":[{"id":"10.13039\/501100003593","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100003593","name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico","doi-asserted-by":"publisher","award":["303427\/2018-3"],"award-info":[{"award-number":["303427\/2018-3"]}],"id":[{"id":"10.13039\/501100003593","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100003593","name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico","doi-asserted-by":"publisher","award":["404656\/2018-8"],"award-info":[{"award-number":["404656\/2018-8"]}],"id":[{"id":"10.13039\/501100003593","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100004586","name":"Funda\u00e7\u00e3o Carlos Chagas Filho de Amparo \u00e0 Pesquisa do Estado do Rio de Janeiro","doi-asserted-by":"publisher","award":["E-26\/010.001247\/2016"],"award-info":[{"award-number":["E-26\/010.001247\/2016"]}],"id":[{"id":"10.13039\/501100004586","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100002850","name":"Fondo Nacional de Desarrollo Cient\u00edfico y Tecnol\u00f3gico","doi-asserted-by":"publisher","award":["1201982"],"award-info":[{"award-number":["1201982"]}],"id":[{"id":"10.13039\/501100002850","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100008736","name":"Fondo de Fomento al Desarrollo Cient\u00edfico y Tecnol\u00f3gico","doi-asserted-by":"publisher","award":["ACE210010"],"award-info":[{"award-number":["ACE210010"]}],"id":[{"id":"10.13039\/501100008736","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100002850","name":"Fondo Nacional de Desarrollo Cient\u00edfico y Tecnol\u00f3gico","doi-asserted-by":"publisher","award":["AFB210005"],"award-info":[{"award-number":["AFB210005"]}],"id":[{"id":"10.13039\/501100002850","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100003593","name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico","doi-asserted-by":"publisher","award":["306988\/2021-6"],"award-info":[{"award-number":["306988\/2021-6"]}],"id":[{"id":"10.13039\/501100003593","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["J Optim Theory Appl"],"published-print":{"date-parts":[[2022,10]]},"DOI":"10.1007\/s10957-022-02056-5","type":"journal-article","created":{"date-parts":[[2022,6,27]],"date-time":"2022-06-27T15:02:43Z","timestamp":1656342163000},"page":"42-78","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":10,"title":["Global Convergence of Algorithms Under Constant Rank Conditions for Nonlinear Second-Order Cone Programming"],"prefix":"10.1007","volume":"195","author":[{"given":"Roberto","family":"Andreani","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Gabriel","family":"Haeser","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2851-8285","authenticated-orcid":false,"given":"Leonardo M.","family":"Mito","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"C. H\u00e9ctor","family":"Ram\u00edrez","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Thiago P.","family":"Silveira","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2022,6,27]]},"reference":[{"key":"2056_CR1","doi-asserted-by":"publisher","first-page":"229","DOI":"10.1007\/s10107-017-1146-3","volume":"168","author":"L Adam","year":"2018","unstructured":"Adam, L., Henrion, R., Outrata, J.: On M-stationarity conditions in MPECs and the associated qualification conditions. Math. Program. 168, 229\u2013259 (2018)","journal-title":"Math. Program."},{"key":"2056_CR2","doi-asserted-by":"publisher","first-page":"3","DOI":"10.1007\/s10107-002-0339-5","volume":"95","author":"F Alizadeh","year":"2003","unstructured":"Alizadeh, F., Goldfarb, D.: Second-order cone programming. Math. Program. Ser. B 95, 3\u201351 (2003)","journal-title":"Math. Program. Ser. B"},{"key":"2056_CR3","doi-asserted-by":"crossref","unstructured":"Alvarez, F., L\u00f3pez, J., Ram\u00edrez, C., H.: Interior proximal algorithm with variable metric for second-order cone programming: applications to structural optimization and support vector machines. Optim. Methods Softw. 25(6), 859\u2013881 (2010)","DOI":"10.1080\/10556780903483356"},{"issue":"1\u20132","key":"2056_CR4","first-page":"5","volume":"111","author":"R Andreani","year":"2008","unstructured":"Andreani, R., Birgin, E.G., Mart\u00ednez, J.M., Schuverdt, M.L.: Augmented Lagragrian methods under the constant positive linear dependence constraint qualification. Math. Program. 111(1\u20132), 5\u201332 (2008)","journal-title":"Math. Program."},{"key":"2056_CR5","doi-asserted-by":"publisher","first-page":"255","DOI":"10.1007\/s10957-010-9671-8","volume":"146","author":"R Andreani","year":"2010","unstructured":"Andreani, R., Echag\u00fce, C.E., Schuverdt, M.L.: Constant-rank condition and second-order constraint qualification. J. Optim. Theory Appl. 146, 255\u2013266 (2010)","journal-title":"J. Optim. Theory Appl."},{"key":"2056_CR6","doi-asserted-by":"crossref","unstructured":"Andreani, R., Fukuda, E.H., Haeser, G., Ram\u00edrez\u00a0C., H., Santos, D.O., Silva, P.J.S.: Silveira Erratum to, Silva, P.J.S., Silveira, T.P.: Erratum to: New constraint qualifications and optimality conditions for second order cone programs (2021) (To appear in Set-Valued and Variational Analysis)","DOI":"10.1007\/s11228-021-00573-5"},{"key":"2056_CR7","unstructured":"Andreani, R., Fukuda, E.H., Haeser, G., Santos, D.O., Secchin, L.D.: Optimality conditions for nonlinear second-order cone programming and symmetric cone programming. Technical report (2019)"},{"key":"2056_CR8","doi-asserted-by":"crossref","unstructured":"Andreani, R., G\u00f3mez, W., Haeser, G., Mito, L.M. , Ramos, A.: On optimality conditions for nonlinear conic programming (2021) (To appear in Mathematics of Operations Research)","DOI":"10.1287\/moor.2021.1203"},{"key":"2056_CR9","unstructured":"Andreani, R., Haeser, G., Mito, L.M.,\u00a0Ram\u00edrez\u00a0C., H.: Sequential constant rank constraint qualifications for nonlinear semidefinite programming with applications. Technical report (2020). arXiv:2106.00775"},{"key":"2056_CR10","unstructured":"Andreani, R., Haeser, G., Mito, L.M., Ram\u00edrez\u00a0C., H.: Weak notions of nondegeneracy in nonlinear semidefinite programming. Technical report (2020). arXiv:2012.14810"},{"key":"2056_CR11","doi-asserted-by":"crossref","unstructured":"Andreani, R., Haeser, G., Mito, L.M. , Ram\u00edrez\u00a0C., H. Santos, D.O. , Silveira, T.P.: Naive constant rank-type constraint qualifications for multifold second-order cone programming and semidefinite programming (2021) (To appear in Optimization Letters)","DOI":"10.1007\/s11590-021-01737-w"},{"key":"2056_CR12","unstructured":"Andreani, R.,\u00a0Haeser, G., Mito, L.M., Ram\u00edrez\u00a0C., H., Silveira, T.P.: First- and second-order optimality conditions for second-order cone and semidefinite programming under a constant rank condition. Technical report (2021). arXiv:2107.04693"},{"key":"2056_CR13","doi-asserted-by":"crossref","unstructured":"Andreani, R., Haeser,G., Schuverdt, M.L. , Secchin, L.D., Silva,P.J.S.: On scaled stopping criteria for a safeguarded augmented Lagrangian method with theoretical guarantees. (2021) (To appear in Mathematical Programming Computation)","DOI":"10.1007\/s12532-021-00207-9"},{"issue":"1\u20132","key":"2056_CR14","doi-asserted-by":"publisher","first-page":"255","DOI":"10.1007\/s10107-011-0456-0","volume":"135","author":"R Andreani","year":"2012","unstructured":"Andreani, R., Haeser, G., Schuverdt, M.L., Silva, P.J.S.: A relaxed constant positive linear dependence constraint qualification and applications. Math. Program. Ser. A 135(1\u20132), 255\u2013273 (2012)","journal-title":"Math. Program. Ser. A"},{"issue":"3","key":"2056_CR15","doi-asserted-by":"publisher","first-page":"1109","DOI":"10.1137\/110843939","volume":"22","author":"R Andreani","year":"2012","unstructured":"Andreani, R., Haeser, G., Schuverdt, M.L., Silva, P.J.S.: Two new weak constraint qualifications and applications. SIAM J. Optim. 22(3), 1109\u20131135 (2012)","journal-title":"SIAM J. Optim."},{"issue":"2","key":"2056_CR16","doi-asserted-by":"publisher","first-page":"473","DOI":"10.1007\/s10957-004-1861-9","volume":"125","author":"R Andreani","year":"2005","unstructured":"Andreani, R., Mart\u00ednez, J.M., Schuverdt, M.L.: On the relation between constant positive linear dependence condition and quasinormality constraint qualification. J. Optim. Theory Appl. 125(2), 473\u2013485 (2005)","journal-title":"J. Optim. Theory Appl."},{"key":"2056_CR17","volume-title":"Nonlinear Programming","author":"DP Bertsekas","year":"1999","unstructured":"Bertsekas, D.P.: Nonlinear Programming. Athenas Scientific, Belmont, Mass (1999)"},{"key":"2056_CR18","doi-asserted-by":"crossref","unstructured":"Bonnans, J.F., Ram\u00edrez\u00a0C., H.: Perturbation analysis of second-order cone programming problems. Math. Program. Ser. B 104, 205\u2013227 (2005)","DOI":"10.1007\/s10107-005-0613-4"},{"key":"2056_CR19","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4612-1394-9","volume-title":"Pertubation Analysis of Optimization Problems","author":"JF Bonnans","year":"2000","unstructured":"Bonnans, J.F., Shapiro, A.: Pertubation Analysis of Optimization Problems. Springer-Verlag, Berlin (2000)"},{"key":"2056_CR20","doi-asserted-by":"crossref","unstructured":"Bosch, P., L\u00f3pez, J., Ram\u00edrez, C., H., Robotham, H.: Support vector machine under uncertainty: an application for hydroacoustic classification of fish-schools in Chile. Expert Syst. Appl. 40(10), 4029\u20134034 (2013)","DOI":"10.1016\/j.eswa.2013.01.006"},{"issue":"4","key":"2056_CR21","doi-asserted-by":"publisher","first-page":"2986","DOI":"10.1137\/17M1140479","volume":"29","author":"J-S Chen","year":"2019","unstructured":"Chen, J.-S., Ye, J.J., Zhang, J., Zhou, J.: Exact formula for the second-order tangent set of the second-order cone complementarity set. SIAM J. Optim. 29(4), 2986\u20133011 (2019)","journal-title":"SIAM J. Optim."},{"issue":"4","key":"2056_CR22","doi-asserted-by":"publisher","first-page":"1111","DOI":"10.3934\/jimo.2015.11.1111","volume":"11","author":"X Chi","year":"2015","unstructured":"Chi, X., Wan, Z., Hao, Z.: Second order sufficient conditions for a class of bilevel programs with lower level second-order cone programming problem. J. Indus. Manage. Optim. 11(4), 1111\u20131125 (2015)","journal-title":"J. Indus. Manage. Optim."},{"key":"2056_CR23","unstructured":"Fukuda, E.H., Haeser, G., Mito, L.M.: On the weak second-order optimality condition for nonlinear semidefinite and second-order cone programming. Technical report (2020) (available at Optmization online)"},{"key":"2056_CR24","doi-asserted-by":"publisher","first-page":"101","DOI":"10.1007\/BFb0120984","volume":"19","author":"J Gauvin","year":"1982","unstructured":"Gauvin, J., Dubeau, F.: Differential properties of the marginal function in mathematical programming. Math. Program. Study 19, 101\u2013119 (1982)","journal-title":"Math. Program. Study"},{"issue":"4","key":"2056_CR25","doi-asserted-by":"publisher","first-page":"2081","DOI":"10.1137\/15M1012608","volume":"25","author":"H Gfrerer","year":"2015","unstructured":"Gfrerer, H., Mordukhovich, B.S.: Complete characterizations of tilt stability in nonlinear programming under weakest qualification conditions. SIAM J. Optim. 25(4), 2081\u20132119 (2015)","journal-title":"SIAM J. Optim."},{"issue":"4","key":"2056_CR26","doi-asserted-by":"publisher","first-page":"1535","DOI":"10.1287\/moor.2016.0789","volume":"41","author":"H Gfrerer","year":"2016","unstructured":"Gfrerer, H., Outrata, J.V.: On computation of generalized derivatives of the normal-cone mapping and their applications. Math. Oper. Res. 41(4), 1535\u20131556 (2016)","journal-title":"Math. Oper. Res."},{"key":"2056_CR27","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, A.Y., Outrata, J.V.: Some remarks on stability of generalized equations. J. Optim. Theory Appl. 159, 681\u2013697 (2013)","journal-title":"J. Optim. Theory Appl."},{"key":"2056_CR28","doi-asserted-by":"publisher","first-page":"303","DOI":"10.1007\/BF00927673","volume":"4","author":"MR Hestenes","year":"1969","unstructured":"Hestenes, M.R.: Multiplier and gradient methods. J. Optim. Theory Appl. 4, 303\u2013320 (1969)","journal-title":"J. Optim. Theory Appl."},{"key":"2056_CR29","doi-asserted-by":"crossref","first-page":"127","DOI":"10.1007\/BFb0121215","volume":"21","author":"R Janin","year":"1984","unstructured":"Janin, R.: Directional derivative of the marginal function in nonlinear programming. Math. Program. Study 21, 127\u2013138 (1984)","journal-title":"Math. Program. Study"},{"issue":"2","key":"2056_CR30","doi-asserted-by":"publisher","first-page":"129","DOI":"10.1007\/s11590-006-0009-2","volume":"1","author":"H Kato","year":"2007","unstructured":"Kato, H., Fukushima, M.: An SQP-type algorithm for nonlinear second-order cone programs. Optim. Lett. 1(2), 129\u2013144 (2007)","journal-title":"Optim. Lett."},{"issue":"3","key":"2056_CR31","doi-asserted-by":"publisher","first-page":"317","DOI":"10.1080\/1055678031000098773","volume":"18","author":"M Ko\u010dvara","year":"2003","unstructured":"Ko\u010dvara, M., Stingl, M.: PENNON: A code for convex nonlinear and semidefinite programming. Optim. Methods Softw. 18(3), 317\u2013333 (2003)","journal-title":"Optim. Methods Softw."},{"key":"2056_CR32","doi-asserted-by":"publisher","first-page":"193","DOI":"10.1016\/S0024-3795(98)10032-0","volume":"284","author":"MS Lobo","year":"1998","unstructured":"Lobo, M.S., Vandenberghe, L., Boyd, S., Lebret, H.: Applications of second-order cone programming. Linear Algebra Appl. 284, 193\u2013228 (1998)","journal-title":"Linear Algebra Appl."},{"key":"2056_CR33","doi-asserted-by":"publisher","first-page":"20190428","DOI":"10.1098\/rsta.2019.0428","volume":"379","author":"JP Luna","year":"2021","unstructured":"Luna, J.P., Sagastiz\u00e1bal, C., Silva, P.J.S.: A discussion on electricity prices, or the two sides of the coin. Phil. Trans. R. Soc. A 379, 20190428 (2021)","journal-title":"Phil. Trans. R. Soc. A"},{"issue":"4","key":"2056_CR34","doi-asserted-by":"publisher","first-page":"429","DOI":"10.1080\/02331930902971377","volume":"60","author":"L Minchenko","year":"2011","unstructured":"Minchenko, L., Stakhovski, S.: On relaxed constant rank regularity condition in mathematical programming. Optimization 60(4), 429\u2013440 (2011)","journal-title":"Optimization"},{"key":"2056_CR35","doi-asserted-by":"publisher","first-page":"314","DOI":"10.1137\/090761318","volume":"21","author":"L Minchenko","year":"2011","unstructured":"Minchenko, L., Stakhovski, S.: Parametric nonlinear programming problems under the relaxed constant rank condition. SIAM J. Optim. 21, 314\u2013332 (2011)","journal-title":"SIAM J. Optim."},{"key":"2056_CR36","unstructured":"Mordukhovich, B.S., Hang, N.T.V., Sarabi, M.E.: Augmented Lagrangian method for second-order conic programs under second-order sufficiency (2021) (To appear in Journal of Global Optimization)"},{"key":"2056_CR37","doi-asserted-by":"crossref","unstructured":"Mordukhovich, B.S., Outrata, J.V., Ram\u00edrez, C., H.: Graphical derivatives and stability analysis for parameterized equilibria with conic constraints. Set-Valued Var. Anal. 23, 687\u2013704 (2015)","DOI":"10.1007\/s11228-015-0328-5"},{"key":"2056_CR38","doi-asserted-by":"crossref","unstructured":"Mordukhovich, B.S., Outrata, J.V., Ram\u00edrez, C., H.: Second-order variational analysis in conic programming with applications to optimality and stability. SIAM J. Optim. 25(1), 76\u2013101 (2015)","DOI":"10.1137\/120903221"},{"issue":"4","key":"2056_CR39","doi-asserted-by":"publisher","first-page":"1581","DOI":"10.1137\/130928637","volume":"24","author":"BS Mordukhovich","year":"2014","unstructured":"Mordukhovich, B.S., Outrata, J.V., Sarabi, M.E.: Full stability of locally optimal solutions in second-order cone programs. SIAM J. Optim. 24(4), 1581\u20131613 (2014)","journal-title":"SIAM J. Optim."},{"key":"2056_CR40","doi-asserted-by":"crossref","unstructured":"Outrata , J.V. , Ram\u00edrez\u00a0C., H.: On the Aubin property of critical points to perturbed second-order cone programs. SIAM J. Optim. 21(3), 798\u2013823 (2011)","DOI":"10.1137\/100807168"},{"key":"2056_CR41","volume-title":"A Method for Nonlinear Constraints in Minimization Problems","author":"MJD Powell","year":"1982","unstructured":"Powell, M.J.D.: A Method for Nonlinear Constraints in Minimization Problems. Academic Press, New York (1982)"},{"key":"2056_CR42","doi-asserted-by":"publisher","first-page":"963","DOI":"10.1137\/S1052623497326629","volume":"10","author":"L Qi","year":"2000","unstructured":"Qi, L., Wei, Z.: On the constant positive linear dependence conditions and its application to SQP methods. SIAM J. Optim. 10, 963\u2013981 (2000)","journal-title":"SIAM J. Optim."},{"key":"2056_CR43","doi-asserted-by":"publisher","first-page":"268","DOI":"10.1137\/0312021","volume":"12","author":"RT Rockafellar","year":"1974","unstructured":"Rockafellar, R.T.: Augmented Lagrange multiplier functions and duality in nonconvex programming. SIAM J. Control. Optim. 12, 268\u2013285 (1974)","journal-title":"SIAM J. Control. Optim."},{"key":"2056_CR44","doi-asserted-by":"publisher","first-page":"213","DOI":"10.1007\/BFb0121219","volume":"21","author":"RT Rockafellar","year":"1984","unstructured":"Rockafellar, R.T.: Directional differentiability of the optimal value function in a nonlinear programming problem. Math. Program. Study 21, 213\u2013226 (1984)","journal-title":"Math. Program. Study"},{"issue":"3","key":"2056_CR45","doi-asserted-by":"publisher","first-page":"552","DOI":"10.1137\/0805028","volume":"5","author":"A Shapiro","year":"1995","unstructured":"Shapiro, A., Fan, M.K.H.: On eigenvalue optimization. SIAM J. Optim. 5(3), 552\u2013569 (1995)","journal-title":"SIAM J. Optim."},{"key":"2056_CR46","doi-asserted-by":"publisher","first-page":"1885","DOI":"10.1137\/080725088","volume":"20","author":"JJ Ye","year":"2010","unstructured":"Ye, J.J., Zhu, D.L.: New necessary optimality conditions for bilevel programs by combining the MPEC and value function approaches. SIAM J. Optim. 20, 1885\u20131905 (2010)","journal-title":"SIAM J. Optim."},{"key":"2056_CR47","doi-asserted-by":"publisher","first-page":"693","DOI":"10.1007\/s11228-018-0487-2","volume":"27","author":"Y Zhang","year":"2019","unstructured":"Zhang, Y., Zhang, L.: New constraint qualifications and optimality conditions for second order cone programs. Set-Valued Var. Anal. 27, 693\u2013712 (2019)","journal-title":"Set-Valued Var. Anal."}],"container-title":["Journal of Optimization Theory and Applications"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s10957-022-02056-5.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s10957-022-02056-5\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s10957-022-02056-5.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,9,28]],"date-time":"2022-09-28T16:26:36Z","timestamp":1664382396000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s10957-022-02056-5"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,6,27]]},"references-count":47,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2022,10]]}},"alternative-id":["2056"],"URL":"https:\/\/doi.org\/10.1007\/s10957-022-02056-5","relation":{},"ISSN":["0022-3239","1573-2878"],"issn-type":[{"value":"0022-3239","type":"print"},{"value":"1573-2878","type":"electronic"}],"subject":[],"published":{"date-parts":[[2022,6,27]]},"assertion":[{"value":"22 October 2021","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"20 May 2022","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"27 June 2022","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}