Global Optimality Conditions for Nonconvex Optimization

Authors:
Alexander S. Strekalovsky
Affiliations:
Mathematical Faculty, Irkutsk State University, Irkutsk, Russia e-mail:strekal@math.isu.runnet.ru
Venue:
Journal of Global Optimization
Year:
1998

Citing 1
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Abstract

In this paper we give an analytical equivalent for the inclusion of a setto the Lebesque set of a convex function. Using this results, we obtainglobal optimality conditions (GOC) related to classical optimization theoryfor convex maximization and reverse-convex optimization. Several examples illustrate the effectiveness of these optimality conditions allowing toescape from stationary points and local extremums.