Abstract
In this paper stability properties of the extremal value function are studied for infinite-dimensional nonlinear optimization problems with differentiable 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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Communicated by J. Stoer
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Lempio, F., Maurer, H. Differential stability in infinite-dimensional nonlinear programming. Appl Math Optim 6, 139–152 (1980). https://doi.org/10.1007/BF01442889
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DOI: https://doi.org/10.1007/BF01442889