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Decompositions of Compact Convex Sets
Pairs of convex sets sublinear function quasidifferential calculus
2009/2/5
In a recent paper R. Urbanski [13] investigated the mimimality of pairs compact convex sets which satisfy additional conditions, namely the minimal convex pairs. In this paper we consider some differe...
Invariants of Pairs of Compact Convex Sets
Pairs of convex sets sublinear function quasidifferential calculus
2009/1/22
In a recent paper P. Diamond, P. Kloeden, A. Rubinov and A. Vladimirov [3] investigated comperative properties of three different metrics in the space of pairs of compact convex sets. These metrics de...
Least Deviation Decomposition with Respect to a Pair of Convex Sets
Least deviation decomposition convex analysis Moreau orthogonal decomposition
2009/1/20
Let $K_1$ and $K_2$ be two nonempty closed convex sets in some normed space $(H,\Vert \cdot \Vert )$. This paper is concerned with the question of finding a "good" decomposition, with respect to $K_1$...