Second-Order Characterizations of Convex and Pseudoconvex Functions

The present paper gives characterizations of radially u.s.c. convex and pseudoconvex functions f : X → ℝ defined on a convex subset X of a real linear space E in terms of first and second-order upper Dini-directional derivatives. Observing that the property f radially u.s.c. does not require a topol...

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Veröffentlicht in:	Journal of applied analysis 2003-12, Vol.9 (2), p.261-273
Hauptverfasser:	Ginchev, I., Ivanov, V. I.
Format:	Artikel
Sprache:	eng
Schlagworte:	Nonsmooth analysis second-order characterizations of convex and pseudoconvex functions second-order Dini-directional derivatives
Online-Zugang:	Volltext
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