{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,13]],"date-time":"2026-02-13T18:02:33Z","timestamp":1771005753037,"version":"3.50.1"},"reference-count":31,"publisher":"Springer Science and Business Media LLC","issue":"4","license":[{"start":{"date-parts":[[2011,2,5]],"date-time":"2011-02-05T00:00:00Z","timestamp":1296864000000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J Glob Optim"],"published-print":{"date-parts":[[2011,12]]},"DOI":"10.1007\/s10898-011-9651-z","type":"journal-article","created":{"date-parts":[[2011,2,4]],"date-time":"2011-02-04T09:27:15Z","timestamp":1296811635000},"page":"677-688","source":"Crossref","is-referenced-by-count":22,"title":["Calmness of efficient solution maps in parametric vector optimization"],"prefix":"10.1007","volume":"51","author":[{"given":"T. D.","family":"Chuong","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"A. Y.","family":"Kruger","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"J.-C.","family":"Yao","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2011,2,5]]},"reference":[{"key":"9651_CR1","doi-asserted-by":"crossref","unstructured":"Bednarczuk, E.M.: Some stability results for vector optimization problems in partially ordered topological vector. In: Proceedings of First World Congress Nonlinear Analysis (vol. III, pp. 2371\u20132382). Tampa, FL (1996)","DOI":"10.1515\/9783110883237.2371"},{"issue":"2","key":"9651_CR2","first-page":"327","volume":"9","author":"E.M. Bednarczuk","year":"2002","unstructured":"Bednarczuk E.M.: Upper H\u00f6lder continuity of minimal points. J. Convex Anal. 9(2), 327\u2013338 (2002)","journal-title":"J. Convex Anal."},{"issue":"3","key":"9651_CR3","first-page":"423","volume":"31","author":"E.M. Bednarczuk","year":"2002","unstructured":"Bednarczuk E.M.: H\u00f6lder-like properties of minimal points in vector optimization. Control Cybernet. 31(3), 423\u2013438 (2002)","journal-title":"Control Cybernet."},{"key":"9651_CR4","doi-asserted-by":"crossref","first-page":"29","DOI":"10.1007\/s10479-007-0186-0","volume":"154","author":"A. Chinchuluun","year":"2007","unstructured":"Chinchuluun A., Pardalos P.M.: A survey of recent developments in multiobjective optimization. Ann. Oper. Res. 154, 29\u201350 (2007)","journal-title":"Ann. Oper. Res."},{"key":"9651_CR5","volume-title":"Pareto Optimality, Game Theory and Equilibria","year":"2008","unstructured":"Chinchuluun, A., Pardalos, P.M., Migdalas, A., Pitsoulis, L. (eds): Pareto Optimality, Game Theory and Equilibria. Springer, Berlin (2008)"},{"key":"9651_CR6","doi-asserted-by":"crossref","first-page":"583","DOI":"10.1007\/s10898-008-9391-x","volume":"45","author":"T.D. Chuong","year":"2009","unstructured":"Chuong T.D., Huy N.Q., Yao J.-C.: Stability of semi-infinite vector optimization problems under functional purtubations. J. Global Optim. 45, 583\u2013595 (2009)","journal-title":"J. Global Optim."},{"key":"9651_CR7","doi-asserted-by":"crossref","first-page":"639","DOI":"10.1016\/j.ejor.2009.01.004","volume":"200","author":"T.D. Chuong","year":"2010","unstructured":"Chuong T.D., Huy N.Q., Yao J.-C.: Pseudo-Lipschitz property of linear semi-infinite vector optimization problems. Eur. J. Oper. Res. 200, 639\u2013644 (2010)","journal-title":"Eur. J. Oper. Res."},{"key":"9651_CR8","doi-asserted-by":"crossref","first-page":"6312","DOI":"10.1016\/j.na.2009.06.038","volume":"71","author":"T.D. Chuong","year":"2009","unstructured":"Chuong T.D., Yao J.-C.: Sufficient conditions for pseudo-Lipschitz property in convex semi-infinite vector optimization problems. Nonlinear Anal. 71, 6312\u20136322 (2009)","journal-title":"Nonlinear Anal."},{"key":"9651_CR9","first-page":"405","volume":"6","author":"T.D. Chuong","year":"2010","unstructured":"Chuong T.D., Yao J.-C., Yen N.D.: Further results on the lower semicontinuity of efficient point multifunctions. Pacific J. Optim. 6, 405\u2013422 (2010)","journal-title":"Pacific J. Optim."},{"key":"9651_CR10","doi-asserted-by":"crossref","first-page":"324","DOI":"10.1016\/0022-247X(74)90025-0","volume":"47","author":"I. Ekeland","year":"1974","unstructured":"Ekeland I.: On the variational principle. J. Math. Anal. Appl. 47, 324\u2013353 (1974)","journal-title":"J. Math. Anal. Appl."},{"key":"9651_CR11","volume-title":"Encyclopedia of Optimization","year":"2009","unstructured":"Floudas, C.A., Pardalos, P.M. (eds): Encyclopedia of Optimization. Springer, Berlin (2009)"},{"key":"9651_CR12","volume-title":"Variational Methods in Partially Ordered Spaces","author":"A. Gopfert","year":"2003","unstructured":"Gopfert A., Riahi H., Tammer C., Z\u0103linescu C.: Variational Methods in Partially Ordered Spaces. Springer, New York (2003)"},{"key":"9651_CR13","doi-asserted-by":"crossref","first-page":"520","DOI":"10.1137\/S1052623401386071","volume":"13","author":"R. Henrion","year":"2002","unstructured":"Henrion R., Jourani A.: Subdifferential conditions for calmness of convex constraints. SIAM J. Optim. 13, 520\u2013534 (2002)","journal-title":"SIAM J. Optim."},{"key":"9651_CR14","doi-asserted-by":"crossref","first-page":"603","DOI":"10.1137\/S1052623401395553","volume":"13","author":"R. Henrion","year":"2002","unstructured":"Henrion R., Jourani A., Outrata J.: On the calmness of a class of multifunctions. SIAM J. Optim. 13, 603\u2013618 (2002)","journal-title":"SIAM J. Optim."},{"key":"9651_CR15","doi-asserted-by":"crossref","first-page":"437","DOI":"10.1007\/s10107-005-0623-2","volume":"104","author":"R. Henrion","year":"2005","unstructured":"Henrion R., Outrata J.: Calmness of constraint systems with applications. Math. Program. 104, 437\u2013464 (2005)","journal-title":"Math. Program."},{"key":"9651_CR16","doi-asserted-by":"crossref","first-page":"47","DOI":"10.11650\/twjm\/1500405272","volume":"13","author":"N.Q. Huy","year":"2009","unstructured":"Huy N.Q., Yao J.-C.: Stability of implicit multifunctions in Asplund spaces. Taiwan. J. Math. 13, 47\u201365 (2009)","journal-title":"Taiwan. J. Math."},{"issue":"2\u20133","key":"9651_CR17","doi-asserted-by":"crossref","first-page":"199","DOI":"10.1007\/s11228-008-0076-x","volume":"16","author":"A.D. Ioffe","year":"2008","unstructured":"Ioffe A.D., Outrata J.: On metric and calmness qualification conditions in subdifferential calculus. Set-Valued Anal. 16(2\u20133), 199\u2013227 (2008)","journal-title":"Set-Valued Anal."},{"key":"9651_CR18","volume-title":"Nonsmooth Equations in Optimization","author":"D. Klatte","year":"2002","unstructured":"Klatte D., Kummer B.: Nonsmooth Equations in Optimization. Regularity, Calculus, Methods and Applications. Kluwer Academic Publisher, Dordrecht-Boston-London (2002)"},{"issue":"3","key":"9651_CR19","doi-asserted-by":"crossref","first-page":"3325","DOI":"10.1023\/A:1023673105317","volume":"116","author":"A.Y. Kruger","year":"2003","unstructured":"Kruger A.Y.: On Fr\u00e9chet subdifferentials. J. Math. Sci. (N.Y.) 116(3), 3325\u20133358 (2003)","journal-title":"J. Math. Sci. (N.Y.)"},{"key":"9651_CR20","doi-asserted-by":"crossref","first-page":"209","DOI":"10.1023\/A:1008775413250","volume":"7","author":"Y.S. Ledyaev","year":"1999","unstructured":"Ledyaev Y.S., Zhu Q.J.: Implicit multifunctions theorems. Set-Valued Anal. 7, 209\u2013238 (1999)","journal-title":"Set-Valued Anal."},{"key":"9651_CR21","doi-asserted-by":"crossref","first-page":"11","DOI":"10.1016\/j.jmaa.2007.05.001","volume":"338","author":"G.M. Lee","year":"2008","unstructured":"Lee G.M., Tam N.N., Yen N.D.: Normal coderivative for multifunctions and implicit function theorems. J. Math. Anal. Appl. 338, 11\u201322 (2008)","journal-title":"J. Math. Anal. Appl."},{"key":"9651_CR22","volume-title":"Theory of Vector Optimization. Lecture Notes in Economics, Math Syst 319","author":"D.T. Luc","year":"1989","unstructured":"Luc D.T.: Theory of Vector Optimization. Lecture Notes in Economics, Math Syst 319. Springer, Berlin (1989)"},{"key":"9651_CR23","volume-title":"Variational Analysis and Generalized Differentiation. I: Basic Theory","author":"B.S. Mordukhovich","year":"2006","unstructured":"Mordukhovich B.S.: Variational Analysis and Generalized Differentiation. I: Basic Theory. Springer, Berlin (2006)"},{"key":"9651_CR24","volume-title":"Convex Functions, Monotone Operators and Differentiability, 2nd edn. Lecture Notes in Mathematics, vol. 1364","author":"R.R. Phelps","year":"1993","unstructured":"Phelps R.R.: Convex Functions, Monotone Operators and Differentiability, 2nd edn. Lecture Notes in Mathematics, vol. 1364. Springer, Berlin (1993)"},{"key":"9651_CR25","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-642-02431-3","volume-title":"Variational Analysis","author":"R.T. Rockafellar","year":"1998","unstructured":"Rockafellar R.T., Wets R.J.-B.: Variational Analysis. Springer, Berlin (1998)"},{"key":"9651_CR26","doi-asserted-by":"crossref","first-page":"128","DOI":"10.1007\/BFb0120850","volume":"10","author":"S.M. Robinson","year":"1979","unstructured":"Robinson S.M.: Generalized equations and their solutions, Part I: Basic theory. Math. Program. Study 10, 128\u2013141 (1979)","journal-title":"Math. Program. Study"},{"key":"9651_CR27","volume-title":"Theory of Multiobjective Optimization. Mathematics in Science and Engineering, vol. 176","author":"Y. Sawaragi","year":"1985","unstructured":"Sawaragi Y., Nakayama H., Tanino T.: Theory of Multiobjective Optimization. Mathematics in Science and Engineering, vol. 176. Academic Press, Orlando, FL (1985)"},{"key":"9651_CR28","doi-asserted-by":"crossref","first-page":"2496","DOI":"10.1016\/j.na.2005.08.029","volume":"64","author":"S.W. Xiang","year":"2006","unstructured":"Xiang S.W., Zhou Y.H.: Continuity properties of solutions of vector optimization. Nonlinear Anal. 64, 2496\u20132506 (2006)","journal-title":"Nonlinear Anal."},{"key":"9651_CR29","doi-asserted-by":"crossref","first-page":"385","DOI":"10.1007\/s10957-007-9214-0","volume":"134","author":"S.W. Xiang","year":"2007","unstructured":"Xiang S.W., Yin W.S.: Stability results for efficient solutions of vector optimization problems. J. Optim. Theory Appl. 134, 385\u2013398 (2007)","journal-title":"J. Optim. Theory Appl."},{"issue":"2","key":"9651_CR30","doi-asserted-by":"crossref","first-page":"437","DOI":"10.1137\/050648079","volume":"18","author":"X.Y. Zheng","year":"2007","unstructured":"Zheng X.Y., Ng K.F.: Metric subregularity and constraint qualifications for convex generalized equations in Banach spaces. SIAM J. Optim. 18(2), 437\u2013460 (2007)","journal-title":"SIAM J. Optim."},{"issue":"4","key":"9651_CR31","doi-asserted-by":"crossref","first-page":"1648","DOI":"10.1137\/080714129","volume":"19","author":"X.Y. Zheng","year":"2009","unstructured":"Zheng X.Y., Ng K.F.: Calmness for L-subsmooth multifunctions in Banach spaces. SIAM J. Optim. 19(4), 1648\u20131673 (2009)","journal-title":"SIAM J. Optim."}],"container-title":["Journal of Global Optimization"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10898-011-9651-z.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10898-011-9651-z\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10898-011-9651-z","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,11,18]],"date-time":"2021-11-18T14:39:41Z","timestamp":1637246381000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10898-011-9651-z"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2011,2,5]]},"references-count":31,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2011,12]]}},"alternative-id":["9651"],"URL":"https:\/\/doi.org\/10.1007\/s10898-011-9651-z","relation":{},"ISSN":["0925-5001","1573-2916"],"issn-type":[{"value":"0925-5001","type":"print"},{"value":"1573-2916","type":"electronic"}],"subject":[],"published":{"date-parts":[[2011,2,5]]}}}