A characterization of -convexity and -convexity of Banach spaces.
Mitani, Ken-Ichi, Saito, Kichi-Suke (2007)
Banach Journal of Mathematical Analysis [electronic only]
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Mitani, Ken-Ichi, Saito, Kichi-Suke (2007)
Banach Journal of Mathematical Analysis [electronic only]
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Francesco Saverio De Blasi, Giulio Pianigiani (1999)
Commentationes Mathematicae Universitatis Carolinae
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We study a Cauchy problem for non-convex valued evolution inclusions in non separable Banach spaces under Filippov type assumptions. We establish existence and relaxation theorems.
Chobanyan, S., Salehi, H. (2001)
Georgian Mathematical Journal
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Sababheh, M., Khalil, R. (2009)
The Journal of Nonlinear Sciences and its Applications
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Nguyen Van Huan, Nguyen Van Quang (2012)
Kybernetika
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We establish the Doob inequality for martingale difference arrays and provide a sufficient condition so that the strong law of large numbers would hold for an arbitrary array of random elements without imposing any geometric condition on the Banach space. Some corollaries are derived from the main results, they are more general than some well-known ones.
Astashkin, S.V. (2002)
Sibirskij Matematicheskij Zhurnal
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Mamporia, B. (2000)
Georgian Mathematical Journal
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Barrenechea, A.L., Peña, C.C. (2002)
Acta Mathematica Universitatis Comenianae. New Series
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