Scalar characterizations of weakly cone-convex and weakly cone-quasiconvex functions |
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| Authors: | Davide La Torre Nicolae Popovici Matteo Rocca |
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| Institution: | 1. University of Milan, Department of Economics, Business and Statistics, 20122 Milan, Italy;2. Babe?-Bolyai University of Cluj, Faculty of Mathematics and Computer Science, 400084 Cluj-Napoca, Romania;3. University of Insubria, Department of Economics, 21100 Varese, Italy |
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| Abstract: | The principal aim of this paper is to show that weakly cone-convex vector-valued functions, as well as weakly cone-quasiconvex vector-valued functions, can be characterized in terms of usual weakly convexity and weakly quasiconvexity of certain real-valued functions, defined by means of the extreme directions of the polar cone or by Gerstewitz’s scalarization functions. |
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