Renorming Concerning Mazur's Intersection Property of Balls for Weakly Compact Convex Sets.
V. Zizler (1986)
Mathematische Annalen
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V. Zizler (1986)
Mathematische Annalen
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Magdalena Lemańska (2010)
Discussiones Mathematicae Graph Theory
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Nordhaus-Gaddum results for weakly convex domination number of a graph G are studied.
Dominique Azé, Jean-Paul Penot (1995)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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Saint-Pierre, Jean, Valadier, Michel (1994)
Journal of Convex Analysis
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I. Kouada (1997)
RAIRO - Operations Research - Recherche Opérationnelle
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W. L. Bynum (1972)
Compositio Mathematica
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Martin Kell (2014)
Analysis and Geometry in Metric Spaces
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In this paper the theory of uniformly convex metric spaces is developed. These spaces exhibit a generalized convexity of the metric from a fixed point. Using a (nearly) uniform convexity property a simple proof of reflexivity is presented and a weak topology of such spaces is analyzed. This topology, called coconvex topology, agrees with the usually weak topology in Banach spaces. An example of a CAT(0)-space with weak topology which is not Hausdorff is given. In the end existence and...
Looney, Carl G. (1978)
International Journal of Mathematics and Mathematical Sciences
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Lixin Cheng, Qingjin Cheng, Bo Wang, Wen Zhang (2010)
Studia Mathematica
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This paper mainly concerns the topological nature of uniformly convexifiable sets in general Banach spaces: A sufficient and necessary condition for a bounded closed convex set C of a Banach space X to be uniformly convexifiable (i.e. there exists an equivalent norm on X which is uniformly convex on C) is that the set C is super-weakly compact, which is defined using a generalization of finite representability. The proofs use appropriate versions of classical theorems, such as James'...
Park, Sehie (2008)
International Journal of Mathematics and Mathematical Sciences
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