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On the Construction of Hölder and Proximal Subderivatives

On the construction of Hölder and proximal subderivatives

descriptionPublicationkeyboard_double_arrow_right Article 01 Dec 1998 Australia Publisher:Canadian Mathematical SocietyJournal:Canadian Mathematical Bulletin, volume 41, pages 497-507 (issn: 0008-4395, eissn: 1496-4287,

Authors: Borwein, J. M.; Girgensohn, R.; Wang, Xianfu;

doi: 10.4153/cmb-1998-065-9

handle: 1959.13/940639

On the Construction of Hölder and Proximal Subderivatives

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Abstract

AbstractWe construct Lipschitz functions such that for all s > 0 they are s-Hölder, and so proximally, subdifferentiable only on dyadic rationals and nowhere else. As applications we construct Lipschitz functions with prescribed Hölder and approximate subderivatives.

Country

Australia

Related Organizations

University of Newcastle Australia
Australia
Simon Fraser University
Canada

Keywords

Lipschitz functions, subderivatives, proximal subgradient, proximal subdifferential, Nonsmooth analysis, Hölder subdifferentials, Hölder, Hölder subgradient

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