Article ID Journal Published Year Pages File Type
841493 Nonlinear Analysis: Theory, Methods & Applications 2011 13 Pages PDF
Abstract

The notion of a scalar function that is ℓℓ-stable at a point is introduced in [D. Bednařík, K. Pastor, On second-order conditions in unconstrained optimization, Math. Program. Ser. A 113 (2008) 283–298]. In the present paper a characterization of the ℓℓ-stable functions is obtained. Further, the notion of an ℓℓ-stable function is generalized from scalar to vector functions. In an application, optimality conditions for constrained vector problems with ℓℓ-stable data are established.

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