Some remarks about strictly pseudoconvex functions with respect to the Clarke-Rockafellar subdifferential.
Samir, Lahrech, Abdessamad, Jaddar, Abdelmalek, Ouahab, Abderrahim, Mbarki (2006)
Lobachevskii Journal of Mathematics
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Samir, Lahrech, Abdessamad, Jaddar, Abdelmalek, Ouahab, Abderrahim, Mbarki (2006)
Lobachevskii Journal of Mathematics
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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.
Klas Diederich, John Erik Fornaess (1982)
Manuscripta mathematica
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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.
Giorgio Giorgi (1987)
Trabajos de Investigación Operativa
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In the present note we consider the definitions and properties of locally pseudo- and quasiconvex functions and give a sufficient condition for a locally quasiconvex function at a point x ∈ R, to be also locally pseudoconvex at the same point.
John Erik Fornaess, Eric Bedford (1978)
Inventiones mathematicae
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Joachim Michel (1993)
Mathematische Zeitschrift
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Mechthild Behrens (1985)
Mathematische Annalen
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Alan T. Huckleberry (1976)
Mathematische Annalen
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Alberto Scalari (1997)
Rendiconti del Seminario Matematico della Università di Padova
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Adib A. Fadlalla (1994)
Mathematische Annalen
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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...