caa a22 4500 463169697 CHVBK 20180406164809.0 cr unu---uuuuu 170326e20071101xx s 000 0 eng 10.1007/s10957-007-9247-4 doi (NATIONALLICENCE)springer-10.1007/s10957-007-9247-4 New Constraint Qualification and Conjugate Duality for Composed Convex Optimization Problems [Elektronische Daten] [R. Boţ, S. Grad, G. Wanka] We present a new constraint qualification which guarantees strong duality between a cone-constrained convex optimization problem and its Fenchel-Lagrange dual. This result is applied to a convex optimization problem having, for a given nonempty convex cone K, as objective function a K-convex function postcomposed with a K-increasing convex function. For this so-called composed convex optimization problem, we present a strong duality assertion, too, under weaker conditions than the ones considered so far. As an application, we rediscover the formula of the conjugate of a postcomposition with a K-increasing convex function as valid under weaker conditions than usually used in the literature. Springer Science+Business Media, LLC, 2007 Conjugate functions nationallicence Fenchel-Lagrange duality nationallicence Composed convex optimization problems nationallicence Cone constraint qualifications nationallicence Boţ R. Faculty of Mathematics, Chemnitz University of Technology, Chemnitz, Germany aut Grad S. Faculty of Mathematics, Chemnitz University of Technology, Chemnitz, Germany aut Wanka G. Faculty of Mathematics, Chemnitz University of Technology, Chemnitz, Germany aut Journal of Optimization Theory and Applications Springer US; http://www.springer-ny.com 135/2(2007-11-01), 241-255 0022-3239 135:2<241 2007 135 10957 https://doi.org/10.1007/s10957-007-9247-4 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10957-007-9247-4 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Boţ R. Faculty of Mathematics, Chemnitz University of Technology, Chemnitz, Germany aut NATIONALLICENCE 700 1- Grad S. Faculty of Mathematics, Chemnitz University of Technology, Chemnitz, Germany aut NATIONALLICENCE 700 1- Wanka G. Faculty of Mathematics, Chemnitz University of Technology, Chemnitz, Germany aut NATIONALLICENCE 773 0- Journal of Optimization Theory and Applications Springer US; http://www.springer-ny.com 135/2(2007-11-01), 241-255 0022-3239 135:2<241 2007 135 10957 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer