On strict pseudoconvexity

• Autorzy: Ivanov V., I.
• Języki publikacji: PL

Abstrakty

EN

The present paper provides first and second-order characterizations of a radilly lower semicontinuous strictly pseudoconvex function ∫ : X → R defined on a convex set X in the real Euclidean space R^{n in twerms of the lower Dini-directional derivative. In particular we obtain connections between the strictly pseudoconvex functions, nonlinear programming problem, Stampacchia variational inequality, and strict Minty variational inequality. We extend to the radially continuous functions the characterization due to Diewert, Avriel, Zang [6]. A new implication appears in our conditions. Connections with other classes of functions are also derived}

Słowa kluczowe

PL

analiza niegładka; wypukłość uogólniona

EN

generalized convexity; strict pseudoconvexity; nonsmooth analysis; nonsmooth optimization; Dini-directional derivatives

• Wydawca: De Gruyter
• Czasopismo: Journal of Applied Analysis
• Rocznik: 2007
• Tom: Vol. 13, nr 2
• Strony: 183--196
• Opis fizyczny: Bibliogr. 24 poz.

Twórcy

autor

Ivanov V., I.

• Department of Varna. Technical University of Varna, 9010 Varna, Bulgaria,

Bibliografia

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