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A General Gordan Alternative Theorem with Weakened Convexity and Its Application |
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| Abstract: | In this paper, we present a general Gordan alternative theorem for presubconvexlike functions in a Hausdorff topological linear space. This is then applied to discuss the saddle point theorem, concave-convex condition and minimax theorem for vector extremum problems. |
| Keywords: | Hausdorff Topological Linear Space Alternative Theorem Vector Extremum Problem Presubconvexlike Function |