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Necessary and sufficient condition on global optimality without convexity and second order differentiability

Burai, Pál (2012) Necessary and sufficient condition on global optimality without convexity and second order differentiability. Optimization Letters. ISSN 1862-4472

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Abstract

The main goal of this paper is to give a necessary and sufficient condition of global optimality for unconstrained optimization problems, when the objective function is not necessarily convex. We use Gâteaux differentiability of the objective function and its bidual (the latter is known from convex analysis).

Item Type: Article
Subjects: Q Science / természettudomány > QA Mathematics / matematika
Q Science / természettudomány > QA Mathematics / matematika > QA74 Analysis / analízis
Depositing User: Pál Burai
Date Deposited: 20 Jul 2012 05:17
Last Modified: 26 Sep 2012 09:42
URI: http://real.mtak.hu/id/eprint/2988

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