×

On the differential properties of the support function of the epsilon- subdifferential of a convex function. (English) Zbl 0505.90067


MSC:

90C30 Nonlinear programming
PDFBibTeX XMLCite
Full Text: DOI

References:

[1] D.P. Bertsekas and S.K. Mitter, ”A descent numerical method for optimization problems with nondifferentiable cost functionals”,SIAM Journal of Control and Optimization 11 (1973) 637–652. · Zbl 0266.49023 · doi:10.1137/0311049
[2] F.H. Clarke, ”Necessary conditions for nonsmooth problems in optimal control and the calculus of variations”, Dissertation, University of Washington, Seattle, WA (1973).
[3] J.B. Hiriart-Urruty, ”Lipschitzr-continuity of the approximate subdifferential of a convex function”,Mathmatica Scandinavica 47 (1980) 123–134. · Zbl 0426.26005
[4] W.W. Hogan, ”Directional derivatives for extremal value functions with applications to the completely convex case”,Operations Research 21 (1973) 188–206. · Zbl 0278.90062 · doi:10.1287/opre.21.1.188
[5] P.J. Laurent,Approximation and optimization (Hermann, Paris, 1972). · Zbl 0236.68011
[6] C. Lemaréchal and E.A. Nurminski, ”Sur la différentiabilité de la fonction d’appui du sous différentiel approché”,Comptes Rendus de l’Académie des Sciences 290A (1980) 855–858.
[7] E.A. Nurminski, ”Nondifferentiable optimization withsubdifferential methods”, Working paper 78-55, I.I.A.S.A., Laxenburg (1978).
[8] R.T. Rockafellar,Convex analysis (Princeton University Press, Princeton, NJ, 1970). · Zbl 0193.18401
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.