Local–Global Minimum Property in Unconstrained Minimization Problems

  • Pál BuraiEmail author


The main goal of this paper is to prove some new results and extend some earlier ones about functions, which possess the so-called local–global minimum property. In the last section, we show an application of these in the theory of calculus of variations.


Nonlinear optimization Non-convex optimization First-order sufficient condition Generalized convexity Local–global minimum property 



This research has been supported by the Hungarian Scientific Research Fund OTKA “Mobility” call HUMAN-MB8A-84581 and Zoltán Magyary Postdoctoral Scholarship A2-MZPD-12-0253.


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© Springer Science+Business Media New York 2013

Authors and Affiliations

  1. 1.Department of MathematicsTU BerlinBerlinGermany

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