Global Optimality Conditions for Nonconvex Optimization |
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Authors: | Alexander S Strekalovsky |
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Institution: | (1) Mathematical Faculty, Irkutsk State University, Irkutsk, Russia e-mail |
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Abstract: | In this paper we give an analytical equivalent for the inclusion of a set to the Lebesque set of a convex function. Using this results, we obtain global optimality conditions (GOC) related to classical optimization theory for convex maximization and reverse-convex optimization. Several examples illustrate the effectiveness of these optimality conditions allowing to escape from stationary points and local extremums. |
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Keywords: | Lebesque set Normal cone Extreme points Subdifferential |
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