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Optimality Conditions for Lower Semi-continuous Functions

✍ Scribed by Chin Cheng Chou; Xinbao Li; Kung-Fu Ng; Shuzhong Shi

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
181 KB
Volume
202
Category
Article
ISSN
0022-247X

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✦ Synopsis

Let f be a lower semi-continuous and bounded below function from a Banach Ε½ x space X into yΟ±, qΟ± where X is assumed to admit a Lipschitz smooth ''bump-function.'' Generalizing results of Chaney, we study optimality conditions for x g X to be a local minimum point of f. These conditions are described in terms of generalized Chaney's subdifferentials and second-order derivatives.

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