TY - JOUR
T1 - On Second-Order Sufficient Conditions in Constrained Nonsmooth Optimization
AU - Wang , Fengling
AU - Song , Wen
JO - Communications in Mathematical Research 
VL - 3
SP - 203
EP - 210
PY - 2021
DA - 2021/05
SN - 26
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/cmr/19152.html
KW - second-order optimality condition, $ℓ$-stable function, Dini directional
derivative, isolated minimizer.
AB - <p style="text-align: justify;">In this paper, we establish a second-order sufficient condition for constrained optimization problems of a class of so called $ℓ$-stable functions in terms of
the first-order and the second-order Dini type directional derivatives. The result extends the corresponding result of [D. Bednařík and K. Pastor, Math. Program. Ser.
A, 113(2008), 283–298] to constrained optimization problems.</p>