Differentiable perturbations of infinite optimization problems

F. Lempio, H. Maurer: Differentiable perturbations of infinite optimization problems
in: Optimization and operations research (Proc. Workshop, Univ. Bonn, Bonn, 1977), Lecture Notes in Economics and Mathematical Systems 157, Springer, Berlin, 1978, 181 - 191

DOI: 10.1007/978-3-642-95322-4_19
MR Nummer: 511339
Zentralblattnummer: 0404.90089
Mathematics Subject Classification Code: 90C31 (90C48 49A99)


Abstract:

In this paper stability properties of the extremal value function are studied for general differentiable optimization problems with perturbations in the objective function and in the constraints. In particular, upper and lower bounds for the directional derivative of the extremal value function as well as necessary and sufficient conditions for the existence of the directional derivative are given.

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