A short remark on Kolmogoroff normability theorem.
Caruso, A. (2002)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
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Displaying similar documents to “A note on closed graph theorems.”
A short remark on Kolmogoroff normability theorem.
The Idzik type quasivariational inequalities and noncompact optimization problems
Sehie Park, Jong Park (1996)
Colloquium Mathematicae
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A generalization of the Hahn-Banach theorem
Jolanta Plewnia (1993)
Annales Polonici Mathematici
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If C is a non-empty convex subset of a real linear space E, p: E → ℝ is a sublinear function and f:C → ℝ is concave and such that f ≤ p on C, then there exists a linear function g:E → ℝ such that g ≤ p on E and f ≤ g on C. In this result of Hirano, Komiya and Takahashi we replace the sublinearity of p by convexity.
Some results about Banach compact algebras
B.M. Ramadisha, V.A. Babalola (2004)
Kragujevac Journal of Mathematics
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On the -uniformly close to convex functions with respect to a convex domain.
Blezu, Dorin (2001)
General Mathematics
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On faces of a convex polyhedron in with a small number of sides.
Kharazishvili, A. (2003)
Georgian Mathematical Journal
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Extensions of convex functionals on convex cones
E. Ignaczak, A. Paszkiewicz (1998)
Applicationes Mathematicae
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We prove that under some topological assumptions (e.g. if M has nonempty interior in X), a convex cone M in a linear topological space X is a linear subspace if and only if each convex functional on M has a convex extension on the whole space X.
Sufficient conditions for convexity in manifolds without focal points
M. Beltagy (1993)
Commentationes Mathematicae Universitatis Carolinae
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In this paper, local, global, strongly local and strongly global supportings of subsets in a complete simply connected smooth Riemannian manifold without focal points are defined. Sufficient conditions for convexity of subsets in the same sort of manifolds have been derived in terms of the above mentioned types of supportings.
An analogue of the Krein-Milman theorem for star-shaped sets.
Martini, Horst, Wenzel, Walter (2003)
Beiträge zur Algebra und Geometrie
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Sufficient Conditions of Optimality for Control Pproblem Governed by Variational Inequalities
Ndoutoume, James (1995)
Serdica Mathematical Journal
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* This work was completed while the author was visiting the University of Limoges. Support from the laboratoire “Analyse non-linéaire et Optimisation” is gratefully acknowledged. The author recently introduced a regularity assumption for derivatives of set-valued mappings, in order to obtain first order necessary conditions of optimality, in some generalized sense, for nondifferentiable control problems governed by variational inequalities. It was noticed that this regularity...