{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,5,19]],"date-time":"2023-05-19T11:14:12Z","timestamp":1684494852979},"reference-count":27,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2012,6,12]],"date-time":"2012-06-12T00:00:00Z","timestamp":1339459200000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J Optim Theory Appl"],"published-print":{"date-parts":[[2013,2]]},"DOI":"10.1007\/s10957-012-0099-1","type":"journal-article","created":{"date-parts":[[2012,6,11]],"date-time":"2012-06-11T16:32:15Z","timestamp":1339432335000},"page":"247-265","source":"Crossref","is-referenced-by-count":13,"title":["Derivatives of the Efficient Point Multifunction in Parametric Vector Optimization Problems"],"prefix":"10.1007","volume":"156","author":[{"given":"Thai Doan","family":"Chuong","sequence":"first","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2012,6,12]]},"reference":[{"key":"99_CR1","doi-asserted-by":"crossref","first-page":"479","DOI":"10.1007\/BF00939554","volume":"56","author":"T. Tanino","year":"1988","unstructured":"Tanino, T.: Sensitivity analysis in multiobjective optimization. J. Optim. Theory Appl. 56, 479\u2013499 (1988)","journal-title":"J. Optim. Theory Appl."},{"key":"99_CR2","doi-asserted-by":"crossref","first-page":"521","DOI":"10.1137\/0326031","volume":"26","author":"T. Tanino","year":"1988","unstructured":"Tanino, T.: Stability and sensitivity analysis in convex vector optimization. SIAM J. Control Optim. 26, 521\u2013536 (1988)","journal-title":"SIAM J. Control Optim."},{"key":"99_CR3","first-page":"159","volume-title":"Mathematical analysis and applications","author":"J.P. Aubin","year":"1981","unstructured":"Aubin, J.P.: Contingent derivatives of set-valued maps and existence of solutions to nonlinear inclusions and differential inclusions. In: Nachbin, L. (ed.) Mathematical analysis and applications, pp.\u00a0159\u2013229. Academic Press, New York (1981)"},{"key":"99_CR4","doi-asserted-by":"crossref","first-page":"385","DOI":"10.1007\/BF00940634","volume":"70","author":"D.S. Shi","year":"1991","unstructured":"Shi, D.S.: Contingent derivative of the perturbation map in multiobjective optimization. J. Optim. Theory Appl. 70, 385\u2013396 (1991)","journal-title":"J. Optim. Theory Appl."},{"key":"99_CR5","doi-asserted-by":"crossref","first-page":"145","DOI":"10.1007\/BF00940783","volume":"77","author":"D.S. Shi","year":"1993","unstructured":"Shi, D.S.: Sensitivity analysis in convex vector optimization. J. Optim. Theory Appl. 77, 145\u2013159 (1993)","journal-title":"J. Optim. Theory Appl."},{"key":"99_CR6","doi-asserted-by":"crossref","first-page":"511","DOI":"10.1006\/jmaa.1996.0331","volume":"202","author":"H. Kuk","year":"1996","unstructured":"Kuk, H., Tanino, T., Tanaka, M.: Sensitivity analysis in parametrized convex vector optimization. J. Math. Anal. Appl. 202, 511\u2013522 (1996)","journal-title":"J. Math. Anal. Appl."},{"key":"99_CR7","doi-asserted-by":"crossref","first-page":"713","DOI":"10.1007\/BF02275356","volume":"89","author":"H. Kuk","year":"1996","unstructured":"Kuk, H., Tanino, T., Tanaka, M.: Sensitivity analysis in vector optimization. J. Optim. Theory Appl. 89, 713\u2013730 (1996)","journal-title":"J. Optim. Theory Appl."},{"key":"99_CR8","doi-asserted-by":"crossref","first-page":"449","DOI":"10.1016\/S0294-1449(17)30034-3","volume":"6","author":"R.T. Rockafellar","year":"1989","unstructured":"Rockafellar, R.T.: Proto-differentiability of set-valued mappings and its applications in optimization. Ann. Inst. Henri Poincar\u00e9, Anal. Non Lin\u00e9aire 6, 449\u2013482 (1989)","journal-title":"Ann. Inst. Henri Poincar\u00e9, Anal. Non Lin\u00e9aire"},{"key":"99_CR9","doi-asserted-by":"crossref","first-page":"945","DOI":"10.11650\/twjm\/1500404767","volume":"11","author":"G.M. Lee","year":"2007","unstructured":"Lee, G.M., Huy, N.Q.: On sensitivity analysis in vector optimization. Taiwan. J. Math. 11, 945\u2013958 (2007)","journal-title":"Taiwan. J. Math."},{"key":"99_CR10","first-page":"303","volume":"3","author":"L. Chen","year":"2002","unstructured":"Chen, L.: Generalized tangent epiderivative and applications to set-valued map optimization. J. Nonlinear Convex Anal. 3, 303\u2013313 (2002)","journal-title":"J. Nonlinear Convex Anal."},{"key":"99_CR11","doi-asserted-by":"crossref","first-page":"77","DOI":"10.1007\/s10957-010-9646-9","volume":"146","author":"T.D. Chuong","year":"2010","unstructured":"Chuong, T.D., Yao, J.-C.: Generalized Clarke epiderivatives of parametric vector optimization problems. J. Optim. Theory Appl. 146, 77\u201394 (2010)","journal-title":"J. Optim. Theory Appl."},{"key":"99_CR12","doi-asserted-by":"crossref","first-page":"2083","DOI":"10.11650\/twjm\/1500405137","volume":"12","author":"N.Q. Huy","year":"2008","unstructured":"Huy, N.Q., Mordukhovich, B.S., Yao, J.-C.: Coderivatives of frontier and solution maps in parametric multiobjective optimization. Taiwan. J. Math. 12, 2083\u20132111 (2008)","journal-title":"Taiwan. J. Math."},{"key":"99_CR13","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":"99_CR14","doi-asserted-by":"crossref","first-page":"273","DOI":"10.1016\/j.na.2010.08.042","volume":"74","author":"T.D. Chuong","year":"2011","unstructured":"Chuong, T.D.: Clarke coderivatives of efficient point multifunctions in parametric vector optimization. Nonlinear Anal. 74, 273\u2013285 (2011)","journal-title":"Nonlinear Anal."},{"key":"99_CR15","volume-title":"Variational Methods in Partially Ordered Spaces","author":"A. Gopfert","year":"2003","unstructured":"Gopfert, A., Riahi, H., Tammer, C., Zalinescu, C.: Variational Methods in Partially Ordered Spaces. Springer, New York (2003)"},{"key":"99_CR16","doi-asserted-by":"crossref","first-page":"1297","DOI":"10.1016\/j.jmaa.2006.01.030","volume":"324","author":"G.M. Lee","year":"2006","unstructured":"Lee, G.M., Huy, N.Q.: On proto-differentiability of generalized perturbation maps. J.\u00a0Math. Anal. Appl. 324, 1297\u20131309 (2006)","journal-title":"J.\u00a0Math. Anal. Appl."},{"key":"99_CR17","doi-asserted-by":"crossref","first-page":"121","DOI":"10.1080\/01630569808816819","volume":"19","author":"A. Taa","year":"1998","unstructured":"Taa, A.: Set-valued derivatives of multifunctions and optimality conditions. Numer. Funct. Anal. Optim. 19, 121\u2013140 (1998)","journal-title":"Numer. Funct. Anal. Optim."},{"key":"99_CR18","volume-title":"Set-Valued Analysis","author":"J.P. Aubin","year":"1990","unstructured":"Aubin, J.P., Frankowska, H.: Set-Valued Analysis. Birkh\u00e4user, Basel (1990)"},{"key":"99_CR19","volume-title":"Linear Semi-Infinite Optimization","author":"M.A. Goberna","year":"1998","unstructured":"Goberna, M.A., L\u00f3pez, M.A.: Linear Semi-Infinite Optimization. Wiley, Chichester (1998)"},{"key":"99_CR20","volume-title":"Semi-Infinite Programming","year":"1998","unstructured":"Reemtsen, R., R\u00fcckmann, J.-J. (eds.): Semi-Infinite Programming. Kluwer Academic, Boston (1998)"},{"key":"99_CR21","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 perturbations. J. Glob. Optim. 45, 583\u2013595 (2009)","journal-title":"J. Glob. Optim."},{"key":"99_CR22","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":"99_CR23","doi-asserted-by":"crossref","first-page":"1462","DOI":"10.1137\/080737083","volume":"20","author":"T.D. Chuong","year":"2009","unstructured":"Chuong, T.D., Huy, N.Q., Yao, J.-C.: Subdifferentials of marginal functions in semi-infinite programming. SIAM J. Optim. 20, 1462\u20131477 (2009)","journal-title":"SIAM J. Optim."},{"key":"99_CR24","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":"99_CR25","doi-asserted-by":"crossref","first-page":"1671","DOI":"10.11650\/twjm\/1500405608","volume":"13","author":"T.D. Chuong","year":"2009","unstructured":"Chuong, T.D., Yao, J.-C.: Coderivatives of efficient point multifunctions in parametric vector optimization. Taiwan. J. Math. 13, 1671\u20131693 (2009)","journal-title":"Taiwan. J. Math."},{"key":"99_CR26","first-page":"123","volume":"34","author":"N. Dinh","year":"2009","unstructured":"Dinh, N., Mordukhovich, B.S., Nghia, T.T.A.: Qualification and optimality conditions for DC programs with infinite constraints. Acta Math. Vietnam. 34, 123\u2013153 (2009)","journal-title":"Acta Math. Vietnam."},{"key":"99_CR27","doi-asserted-by":"crossref","first-page":"163","DOI":"10.1137\/060676982","volume":"19","author":"C. Li","year":"2008","unstructured":"Li, C., Ng, K.F., Pong, T.K.: Constraint qualifications for convex inequality systems with applications in constrained optimization. SIAM J. Optim. 19, 163\u2013187 (2008)","journal-title":"SIAM J. Optim."}],"container-title":["Journal of Optimization Theory and Applications"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10957-012-0099-1.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10957-012-0099-1\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10957-012-0099-1","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,6,29]],"date-time":"2019-06-29T18:16:33Z","timestamp":1561832193000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10957-012-0099-1"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012,6,12]]},"references-count":27,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2013,2]]}},"alternative-id":["99"],"URL":"https:\/\/doi.org\/10.1007\/s10957-012-0099-1","relation":{},"ISSN":["0022-3239","1573-2878"],"issn-type":[{"value":"0022-3239","type":"print"},{"value":"1573-2878","type":"electronic"}],"subject":[],"published":{"date-parts":[[2012,6,12]]}}}