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Dvorská, Marie

Vector optimization results for \(\ell\)-stable data. (English) Zbl 1287.49016

Acta Univ. Palacki. Olomuc., Fac. Rerum Nat., Math. 52, No. 2, 43-52 (2013).
Summary: The aim of this paper is to summarize basic facts about at a point \(\ell\)-stable vector functions and existing results for certain vector constrained programming problem with \(\ell\)-stable data.

MSC:

49J52 Nonsmooth analysis
49J50 Fréchet and Gateaux differentiability in optimization
49K99 Optimality conditions
90C29 Multi-objective and goal programming
90C30 Nonlinear programming

Keywords:

\(\ell\)-stable function; generalized second-order directional derivative; Dini derivative; weakly efficient minimizer; isolated minimizer
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\textit{M. Dvorská}, Acta Univ. Palacki. Olomuc., Fac. Rerum Nat., Math. 52, No. 2, 43--52 (2013; Zbl 1287.49016)
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