Nonsmooth Optimization and Related Topics pp 39-47 | Cite as

# Applications of Proximal Subgradients

Chapter

## Abstract

Nonsmooth analysis has developed into a widely used tool. The theory of generalized gradients and its associated geometric constructions have in particular seen broad application in optimization and elsewhere. Of late, one of the most active areas of study has been proximal normal analysis. Although the proximal normal concept was actually at the heart of the very first definitions of the generalized gradient and normal cone [5], [6], it was not fully realized until recently how powerful the technique could be.

## Keywords

Normal Cone Generalize Gradient Proximal Analysis Nonsmooth Analysis Regularity Theorem
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