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- Title
Optimality conditions in global optimization and their applications.
- Authors
Rubinov, A. M.; Wu, Z. Y.
- Abstract
In this paper we derive necessary and sufficient conditions for some problems of global minimization. Our approach is based on methods of abstract convexity: we use a representation of an upper semicontinuous function as the lower envelope of a family of convex functions. We discuss applications of conditions obtained to the examination of some tractable sufficient conditions for the global minimum and to the theory of inequalities.
- Subjects
MATHEMATICAL optimization; MATHEMATICAL analysis; SIMULATION methods &; models; CONVEX domains; CONVEX geometry; POINT set theory; CONVEX sets
- Publication
Mathematical Programming, 2009, Vol 120, Issue 1, p101
- ISSN
0025-5610
- Publication type
Article
- DOI
10.1007/s10107-007-0142-4