Year: 2018
Analysis in Theory and Applications, Vol. 34 (2018), Iss. 4 : pp. 348–357
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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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/ata.OA-2017-0024
Analysis in Theory and Applications, Vol. 34 (2018), Iss. 4 : pp. 348–357
Published online: 2018-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 10
Keywords: Frechet and Gateaux differentiability support function strict convexity Smulyan lemma.