Non-existence of perturbed solutions under a second-order sufficient condition

We present an optimization problem in infinite dimensions which satisfies the usual second-order sufficient condition but for which perturbed problems fail to possess solutions.

Bibliographic Details
Main Author: Gerd Wachsmuth
Format: Article
Language:English
Published: Elsevier 2023-12-01
Series:Examples and Counterexamples
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S2666657X23000241
Description
Summary:We present an optimization problem in infinite dimensions which satisfies the usual second-order sufficient condition but for which perturbed problems fail to possess solutions.
ISSN:2666-657X