Kybernetika 51 no. 6, 1023-1034, 2015

Necessary conditions for vector optimization in infinite dimension

Marie Dvorská and Karel PastorDOI: 10.14736/kyb-2015-6-1023

Abstract:

In the paper we present second-order necessary conditions for constrained vector optimization problems in infinite-dimensional spaces. In this way we generalize some corresponding results obtained earlier.

Keywords:

${\ell }$-stable function, generalized second-order directional derivative, Dini derivative, vector optimization, $C^{1,1}$-function

Classification:

49K10, 49J52, 49J50, 90C29, 90C30

paper.pdf

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