The proofs presented in this book use results from functional analysis, convex analysis, the theory of set-valued maps, nonsmooth analysis, and minimax theory. Since there is no book available that contains all of these results, in this chapter we will summarize an essential collection of mathematical facts that are basic to the understanding of our presentation.
KeywordsOptimal Control Problem Convex Subset Directional Derivative Real Hilbert Space Minimax Theorem
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