Geometric properties of Banach spaces and metric fixed point theory.
Tomás Domínguez Benavides (2002)
Extracta Mathematicae
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Tomás Domínguez Benavides (2002)
Extracta Mathematicae
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Butnariu, Dan, Iusem, Alfredo N., Resmerita, Elena (2000)
Journal of Convex Analysis
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Denkowska, Anna (2005)
Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica
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Foertsch, Thomas (2004)
Beiträge zur Algebra und Geometrie
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Sánchez Pérez, Enrique A., Werner, Dirk (2011)
Banach Journal of Mathematical Analysis [electronic only]
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Abdelhakim Maaden (2001)
Extracta Mathematicae
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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.
Acu, Mugur (2002)
General Mathematics
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Wagdy Gomaa El-Sayed, Krzysztof Fraczek (1996)
Commentationes Mathematicae Universitatis Carolinae
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The aim of this paper is to derive some relationships between the concepts of the property of strong introduced recently by Hong-Kun Xu and the so-called characteristic of near convexity defined by Goebel and Sȩkowski. Particularly we provide very simple proof of a result obtained by Hong-Kun Xu.