Global Optimality Criterion and a Duality with a Zero Gap in Nonconvex Optimization
- 1 November 1993
- journal article
- Published by Society for Industrial & Applied Mathematics (SIAM) in SIAM Journal on Mathematical Analysis
- Vol. 24 (6) , 1537-1556
- https://doi.org/10.1137/0524087
Abstract
This paper presents a relation between geometrical criteria for optimality and a duality in two nonconvex problems: a quasi-convex maximization over a convex set, and a general minimization over the complement of a convex set. A connection between the duality by Toland, the global optimality criterion by Hiriart-Urruty, and the author's result is also given. Several applications are presented.Keywords
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