An alternative theorem for set-valued maps via set relations and its application to robustness of feasible sets
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DOI: 10.1080/02331934.2018.1426582
Abstract: Abstract This paper contains a generalized Gordan-type alternative theorem for set-valued maps which characterizes set relations without any convexity assumptions using certain evaluation functions. As a direct consequence and as a good example, we discuss… read more here.
Keywords: theorem set; valued maps; alternative theorem; set valued ... See more keywords
Shannon’s Sampling Theorem for Set-Valued Functions with an Application
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DOI: 10.3390/math12192982
Abstract: In this study, we defined a kind of Fourier expansion of set-valued square-integrable functions. In fact, we have seen that the classical Fourier basis also constitutes a basis for the Hilbert quasilinear space L2(−π,π,Ω(C)) of… read more here.
Keywords: shannon sampling; set valued; sampling theorem; valued functions ... See more keywords