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Regularity of Functions

In: Regularity Concepts in Nonsmooth Analysis

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  • Messaoud Bounkhel

    (King Saud University)

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.

Suggested Citation

  • Messaoud Bounkhel, 2012. "Regularity of Functions," Springer Optimization and Its Applications, in: Regularity Concepts in Nonsmooth Analysis, chapter 0, pages 73-85, Springer.
    • Handle: RePEc:spr:spochp:978-1-4614-1019-5_3
    DOI: 10.1007/978-1-4614-1019-5_3
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