Tilt stability of local minima and subdifferential of supremum functions

A. Hantoute

We study the behaviour of the optimal set-valued mapping, which gives the solutions set of a linearly perturbed functions; the parameter being the linear part. We characterize the single-valuedness of this operator, its continuity, Lipschitzianity and other properties, all by means of some appropriate variational properties of the initial functions (like existence of error bounds, convexity of some of its perfils, ect.). This analysis involves some subdifferential calculus for the supremum of convex functions.

Keywords: Tilt stability, supremum functions, subdifferential

GT11-1 MA-1 Continuous Optimization. Tribute to Marco Antonio López
September 5, 2019  2:45 PM
I2L7. Georgina Blanes building

B. Mordukhovich, P. Perez-Aros

R. Correa

F. J. Toledo Melero, M. J. Cánovas Cánovas, M. J. Gisbert Francés, J. Parra López