## Title data

Lempio, Frank ; Maurer, H.:

**Differential stability in infinite-dimensional nonlinear programming.**

*In:* Applied Mathematics and Optimization.
Vol. 6
(March 1980)
Issue 1
.
- pp. 139-152.

ISSN 1432-0606

DOI: https://doi.org/10.1007/BF01442889

Review: |

## Abstract in another language

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.