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A Characterization of Strict Local Minimizers of Order One for Nonsmooth Static Minmax Problems

✍ Scribed by Marcin Studniarski; Abdul Whab A. Taha

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 91 KB
Volume: 259
Category: Article
ISSN: 0022-247X
DOI: 10.1006/jmaa.2000.7379

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✦ Synopsis

We present first-order necessary optimality conditions for a nonsmooth static minmax problem with inequality constraints. These conditions, after some modification, turn out to characterize strict local minimizers of order one for the given problem.

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Differentiable (F , ρ)-convex function of order 2 F -approximated vector optimization problem a b s t r a c t In this paper, a new approximation method is introduced to characterize a so-called vector strict global minimizer of order 2 for a class of nonlinear differentiable multiobjective programm