The Mazur intersection property for families of closed bounded convex sets in Banach spaces
Pradipta Bandyopadhyaya (1992)
Colloquium Mathematicae
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Pradipta Bandyopadhyaya (1992)
Colloquium Mathematicae
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Matkowski, Janusz (2007)
Banach Journal of Mathematical Analysis [electronic only]
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Penot, Jean-Paul, Zălinescu, Constantin (2000)
Journal of Convex Analysis
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Alimohammady, M., Shahmari, A. (2009)
The Journal of Nonlinear Sciences and its Applications
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Olusegun O. Owojori (2008)
Kragujevac Journal of Mathematics
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Guedda, L., Hallouz, A. (2008)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Stepanov, V.D., Ushakova, E.P. (2010)
Banach Journal of Mathematical Analysis [electronic only]
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Xue Zhiqun (2006)
Kragujevac Journal of Mathematics
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Acu, Mugur (2004)
Georgian Mathematical Journal
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Gerd Herzog (1998)
Colloquium Mathematicae
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We prove that the initial value problem x’(t) = f(t,x(t)), is uniquely solvable in certain ordered Banach spaces if f is quasimonotone increasing with respect to x and f satisfies a one-sided Lipschitz condition with respect to a certain convex functional.
Acu, Mugur (2004)
General Mathematics
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Binyamin Schwarz, Uri Srebro (1996)
Banach Center Publications
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It is shown that for n ≥ 2 and p > 2, where p is not an even integer, the only balls in the Carathéodory distance on which are balls with respect to the complex norm in are those centered at the origin.