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

The author considers a contrained variational problem of the abstract form

minimizef(x)subjecttoG(x)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.

MSC:
49K27Optimal control problems in abstract spaces (optimality conditions)
90C46Optimality conditions, duality