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| Volume 5, Number 1, January 2009, pp. 143-153 | |||||||||
| Abdelmalek Aboussoror | |||||||||
| Key words: | |||||||||
| convex analysis, reverse convex programs, optimality conditions | |||||||||
| Mathematices Subject Classification: 90C25, 90C26, 49K35 | |||||||||
|
|||||||||
| Volume 5, Number 1, January 2009, pp. 143-153 | |||||||||
| Abdelmalek Aboussoror | |||||||||
| Key words: | |||||||||
| convex analysis, reverse convex programs, optimality conditions | |||||||||
| Mathematices Subject Classification: 90C25, 90C26, 49K35 | |||||||||
|
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| Abstract: | |||
| In this paper, we consider a reverse convex program for which we first give sufficient conditions ensuring stability. Then, we give necessary and sufficient conditions for global optimality. In particular, a necessary and sufficient optimality condition reduces the problem to a convex maximization problem constrained by a compact convex set. | |||
| Reverse convex programs: stability and global optimality | ||