Generalized Directional Derivatives

Generalized Directional Derivatives

Theory and Examples

LAP Lambert Academic Publishing ( 2010-07-05 )

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Over the last fifty years, generalized second-order derivatives have been studied because it is important to state optimization conditions for nonsmooth functions. We recall e.g. the concept of convex subdifferential, the Clarke gradient for locally Lipschitz function or the co-derivatives studied by Boris Mordukhovich. In this book it was introduced the class of l-stable functions which is wider than the class of functions with locally Lipschitz gradient and there were stated some second-order optimization conditions. The characterization of convexity and strict convexity for locally Licpschitz functions is also provided. Moreover, a new characterization of minimal cusco is given.

Book Details:

ISBN-13:

978-3-8383-8025-4

ISBN-10:

3838380258

EAN:

9783838380254

Book language:

English

By (author) :

Karel Pastor
Dušan Bednařík

Number of pages:

72

Published on:

2010-07-05

Category:

Analysis