Strekalovsky, Alexander S. Global optimality conditions for nonconvex optimization. (English) Zbl 0908.90243 J. Glob. Optim. 12, No. 4, 415-434 (1998). Summary: We give an analytical equivalent for the inclusion of a set to the Lebesgue set of a convex function. Using this result, 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. Cited in 4 ReviewsCited in 36 Documents MSC: 90C30 Nonlinear programming 49J52 Nonsmooth analysis Keywords:normal cone; extreme points; subdifferential; Lebesgue set of a convex function; global optimality conditions PDFBibTeX XMLCite \textit{A. S. Strekalovsky}, J. Glob. Optim. 12, No. 4, 415--434 (1998; Zbl 0908.90243) Full Text: DOI