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Second order analysis for optimal control problems: improving results expected from abstract theory. (English) Zbl 1259.90162

This research work contains an original comparison between the first- and the second-order optimality conditions for some important optimization problems in Banach spaces. By proper applications, the authors suggest significant projections in appropriate numerical methods.
Reviewer’s remark: It is a pertinent research, which can be developed by adequate numerical methods.

MSC:

90C48 Programming in abstract spaces
49K20 Optimality conditions for problems involving partial differential equations
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