TY - JOUR
T1 - Smulyan Lemma and Differentiability of the Support Function
JO - Analysis in Theory and Applications
VL - 4
SP - 348
EP - 357
PY - 2018
DA - 2018/11
SN - 34
DO - http://doi.org/10.4208/ata.OA-2017-0024
UR - https://global-sci.org/intro/article_detail/ata/12848.html
KW - Frechet and Gateaux differentiability, support function, strict convexity, Smulyan lemma.
AB - <p style="text-align: justify;">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.</p>