| R. Baier and E. Farkhi,Directed Sets and Differences of Convex Compact Sets, in: M.P. Polis, A.L. Dontchev, P. Kall, I. Lasiecka and A.W. Olbrot, eds., Systems Modelling and Optimization, Proc. of the 18th IFIP TC7 Conference, CRC Research Notes in Mathematics, (Chapman and Hall,1999) 135--143. |
.... mathematical tools used for analysing set valued functions include the support function technique for describing convex compact sets (see e.g. 10] and methods of embedding the cone of convex compact subsets of R n in a linear normed space, with addition defined as the Minkowski sum of sets ([2], 7] 8] 9] In any such linear normed space, we introduce a partial order generated by the set inclusion order in the cone of convex compact sets. Thus a multifunction with convex compact images from R to R n is considered as an abstract function with values in a partially ordered normed ....
R. Baier and E. Farkhi,Directed Sets and Differences of Convex Compact Sets, in: M.P. Polis, A.L. Dontchev, P. Kall, I. Lasiecka and A.W. Olbrot, eds., Systems Modelling and Optimization, Proc. of the 18th IFIP TC7 Conference, CRC Research Notes in Mathematics, (Chapman and Hall,1999) 135--143.
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