# Proximal Analysis in Smooth Spaces

Borwein, Jonathan M. and Ioffe, Alexander (1996) Proximal Analysis in Smooth Spaces. Set-Valued Analysis, 4 (1). pp. 1-24. ISSN 0927-6947

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We provide a highly--refined sequential description of the generalized gradients of Clarke and approximate $G$--subdifferential of a lower semicontinuous extended--real--valued function defined on a Banach space with a ${\beta}$--smooth equivalent renorm. In the case of a Frech\`{e}t differentiable renorm we give a corresponding result for the corresponding singular objects.