Abstract
It is well known that the smoothness of functions and mappings is preserved under some operations like addition, composition, etc., but contrarily to these operations there are many other operations of prime interest in analysis, like maximization and minimization that fail to preserve smoothness. So, it would be very natural to ask how the classical concept of differentiability can be enlarged in order to deal with such situations.
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© 2012 Springer Science+Business Media, LLC
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Bounkhel, M. (2012). Regularity of Functions. In: Regularity Concepts in Nonsmooth Analysis. Springer Optimization and Its Applications(), vol 59. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-1019-5_3
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DOI: https://doi.org/10.1007/978-1-4614-1019-5_3
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