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On a class of compactly epi-Lipschitzian sets

✍ Scribed by Abderrahim Jourani

Publisher: Elsevier Science
Year: 2003
Tongue: English
Weight: 146 KB
Volume: 54
Category: Article
ISSN: 0362-546X
DOI: 10.1016/s0362-546x(03)00106-8

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✦ Synopsis

The paper is devoted to the study of the so-called compactly epi-Lipschitzian sets. These sets are needed for many aspects of generalized di erentiation, particulary for necessary optimality conditions, stability of mathematical programming problems and calculus rules for subdi erentials and normal cones. We present general conditions under which sets deÿned by general constraints are compactly epi-Lipschitzian. This allows us to show how the compact epi-Lipschitzness properties behave under set intersections.

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