Existence of diametrically complete sets with empty interior in reflexive and separable Banach spaces
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DOI: 10.1016/j.jfa.2019.108418
Abstract: Abstract In this paper we prove that every infinite-dimensional and separable Banach space ( X , ‖ ⋅ ‖ X ) admits an equivalent norm ‖ ⋅ ‖ X , 1 such that ( X… read more here.
Keywords: empty interior; diametrically complete; reflexive separable; separable banach ... See more keywords
Existence Results for Second Order Nonconvex Sweeping Processes in q-Uniformly Convex and 2-Uniformly Smooth Separable Banach Spaces
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DOI: 10.3390/sym11010028
Abstract: We prove an existence result, in the separable Banach spaces setting, for second order differential inclusions of type sweeping process. This type of differential inclusion is defined in terms of normal cones and it covers… read more here.
Keywords: existence; second order; uniformly convex; banach spaces ... See more keywords