Volume 4, Number 3, September 2008, pp. 411-422
M.J. Cánovas, A. Hantoute, M.A. López and J. Parra
Key words:
Lipschitz modulus, convex programming, metric regularity
Mathematices Subject Classification: 49J53, 90C25, 90C31, 52A41
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Abstract:
In this paper we relate the Lipschitz modulus of the optimal set mapping of a canonically perturbed convex optimization problem in lRn with the Lipschitz moduli of suitable subproblems with exactly n constraints. This approach allows us to simplify other expressions for the modulus given in [8] in terms of d.c. functions involving the problem's data.
Lipschitz modulus of the optimal set mapping in convex optimization via minimal subproblems