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Optimality conditions in global optimization and their applications.
- Source :
-
Mathematical Programming . Aug2009, Vol. 120 Issue 1, p101-123. 23p. - Publication Year :
- 2009
-
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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00255610
- Volume :
- 120
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Mathematical Programming
- Publication Type :
- Academic Journal
- Accession number :
- 37371812
- Full Text :
- https://doi.org/10.1007/s10107-007-0142-4