-convexity and best approximation.
Chatterjee, Dipak (1980)
Publications de l'Institut Mathématique. Nouvelle Série
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Chatterjee, Dipak (1980)
Publications de l'Institut Mathématique. Nouvelle Série
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B. Krakus (1972)
Fundamenta Mathematicae
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Inese Bula (2005)
Banach Center Publications
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The paper introduces a notion of strictly convex metric space and strictly convex metric space with round balls. These objects generalize the well known concept of strictly convex Banach space. We prove some fixed point theorems in strictly convex metric spaces with round balls.
Narang, T.D. (1986)
Publications de l'Institut Mathématique. Nouvelle Série
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V. W. Bryant (1970)
Compositio Mathematica
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Taras Banakh, Ivan Hetman (2011)
Studia Mathematica
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We prove that a closed convex subset C of a complete linear metric space X is polyhedral in its closed linear hull if and only if no infinite subset A ⊂ X∖ C can be hidden behind C in the sense that [x,y]∩ C ≠ ∅ for any distinct x,y ∈ A.
R. Duda (1970)
Fundamenta Mathematicae
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T. D. Narang, Sangeeta (2010)
Publications de l'Institut Mathématique
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Tadeusz Dobrowolski, Jan van Mill (2006)
Fundamenta Mathematicae
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We characterize the AR property in convex subsets of metric linear spaces in terms of certain near-selections.
Alireza Moazzen, Yoel-Je Cho, Choonkil Park, Madjid Eshaghi Gordji (2017)
Mathematica Bohemica
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Tadeusz Dobrowolski (2011)
Bulletin of the Polish Academy of Sciences. Mathematics
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CEP stands for the compact extension property. We characterize nonlocally convex complete metric linear spaces with convex-hereditary CEP.