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Nonconvex separation theorems and some applications in vector optimization |
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| Authors: | C. Gerth P. Weidner |
| Affiliation: | (1) Sektion Mathematik, Technische Hochschule Leuna-Merseburg, Merseburg, Germany;(2) Sektion Mathematik, Martin-Luther-Universität Halle-Wittenberg, Halle, Germany |
| Abstract: | Separation theorems for an arbitrary set and a not necessarily convex set in a linear topological space are proved and applied to vector optimization. Scalarization results for weakly efficient points and properly efficient points are deduced. |
| Keywords: | Separation theorems vector optimization efficiency weak efficiency proper efficiency |
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