Smulyan Lemma and Differentiability of the Support Function

Ildar Sadeqi & Sima Hassankhali

doi:10.4208/ata.OA-2017-0024

Smulyan Lemma and Differentiability of the Support Function

Authors

Ildar Sadeqi & Sima Hassankhali

DOI:

https://doi.org/10.4208/ata.OA-2017-0024

Keywords:

Frechet and Gateaux differentiability, support function, strict convexity, Smulyan lemma.

Abstract

The purpose of this paper is to verify the Smulyan lemma for the support function, and also the Gateaux differentiability of the support function is studied on its domain. Moreover, we provide a characterization of Frechet differentiability of the support function on the extremal points.

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Published

2018-11-14

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Issue

Vol. 34 No. 4 (2018)

Section

Articles

How to Cite

Smulyan Lemma and Differentiability of the Support Function. (2018). Analysis in Theory and Applications, 34(4), 348-357. https://doi.org/10.4208/ata.OA-2017-0024