Giannessi, Franco 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 \[ \text{minimize }\;f(x)\text{ subject to }G(x)\in K, \] 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.For the entire collection see [Zbl 0968.00020]. Reviewer: Alberto Seeger (Avignon) Cited in 1 Document MSC: 49K27 Optimality conditions for problems in abstract spaces 90C46 Optimality conditions and duality in mathematical programming Keywords:mathematical programming; optimality conditions PDFBibTeX XMLCite \textit{F. Giannessi}, Nonconvex Optim. Appl. 54, 75--103 (2001; Zbl 1039.49028)