Maximization and minimization are often useful in constructing new functions and mappings from given ones, but, in contrast to addition and composition, they commonly fail to preserve smoothness. These operations, and others of prime interest in variational analysis, fit poorly in the traditional environment of differential calculus. The conceptual platform for `differentiation' needs to be enlarged in order to cope with such circumstances.
CITATION STYLE
Subderivatives and Subgradients. (1998) (pp. 298–348). https://doi.org/10.1007/978-3-642-02431-3_8
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