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First-order optimality conditions for two classes of generalized nonsmooth semi-infinite optimization

✍ Scribed by Li-Ping Pang; Ming-Zheng Wang; Zun-Quan Xia

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
310 KB
Volume
56
Category
Article
ISSN
0898-1221

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✦ Synopsis

a b s t r a c t

We investigate two classes of generalized nonsmooth semi-infinite optimization problems in this paper, that is, the generalized convex semi-infinite optimization problem and the generalized Lipscitz semi-infinite optimization problem. Their first order necessary optimality conditions are obtained using either the differentiability properties of the optimal value functions or the bounds for the directional derivatives of the optimal value function.

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