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Zbl 1039.49028
Giannessi, Franco
Some remarks on mimimum principles. (English)
[A] Hadjisavvas, Nicolas (ed.) et al., Advances in convex analysis and global optimization. Honoring the memory of C. Caratheodory (1873-1950). Dordrecht: Kluwer Academic Publishers. Nonconvex Optim. Appl. 54, 75-103 (2001). ISBN 0-7923-6942-4; ISBN 978-1-4613-7975-1/pbk

The author considers a contrained variational problem of the abstract form $$\text{minimize }\;f(x)\text { subject to }G(x)\in K,$$ where $K$ is a convex cone in a Banach space. He reformulates this problem by using Image Space Analysis, and then he discusses various items like, for instance, optimality conditions and minimum principles.
[Alberto Seeger (Avignon)]

MSC 2000:: *49K27 Optimal control problems in abstract spaces (nec./ suff.)
90C46 Optimality conditions, duality

Keywords: mathematical programming; optimality conditions

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