Displaying similar documents to “Some remarks about strictly pseudoconvex functions with respect to the Clarke-Rockafellar subdifferential.”

First Order Characterizations of Pseudoconvex Functions

Ivanov, Vsevolod (2001)

Serdica Mathematical Journal

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First order characterizations of pseudoconvex functions are investigated in terms of generalized directional derivatives. A connection with the invexity is analysed. Well-known first order characterizations of the solution sets of pseudolinear programs are generalized to the case of pseudoconvex programs. The concepts of pseudoconvexity and invexity do not depend on a single definition of the generalized directional derivative.

A note on strong pseudoconvexity

Vsevolod Ivanov (2008)

Open Mathematics

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A strongly pseudoconvex function is generalized to non-smooth settings. A complete characterization of the strongly pseudoconvex radially lower semicontinuous functions is obtained.

Characterizations of the Solution Sets of Generalized Convex Minimization Problems

Ivanov, Vsevolod (2003)

Serdica Mathematical Journal

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2000 Mathematics Subject Classification: 90C26, 90C20, 49J52, 47H05, 47J20. In this paper we obtain some simple characterizations of the solution sets of a pseudoconvex program and a variational inequality. Similar characterizations of the solution set of a quasiconvex quadratic program are derived. Applications of these characterizations are given.

Convexity, C-convexity and Pseudoconvexity Изпъкналост, c-изпъкналост и псевдоизпъкналост

Nikolov, Nikolai (2011)

Union of Bulgarian Mathematicians

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Николай М. Николов - Разгледани са характеризации на различни понятия за изпъкналост, като тези понятия са сравнени. We discuss different characterizations of various notions of convexity as well as we compare these notions. *2000 Mathematics Subject Classification: 32F17.

Estimation of the Carathéodory distance on pseudoconvex domains of finite type whose boundary has Levi form of corank at most one

Gregor Herbort (2013)

Annales Polonici Mathematici

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We study the class of smooth bounded weakly pseudoconvex domains D ⊂ ℂⁿ whose boundary points are of finite type (in the sense of J. Kohn) and whose Levi form has at most one degenerate eigenvalue at each boundary point, and prove effective estimates on the invariant distance of Carathéodory. This completes the author's investigations on invariant differential metrics of Carathéodory, Bergman, and Kobayashi in the corank one situation and on invariant distances on pseudoconvex finite...