TY - JOUR
T1 - New Constraint Qualifications with Second-Order Properties in Nonlinear Optimization
AU - Haeser, G.
AU - Ramos, A.
N1 - Publisher Copyright:
© 2019, Springer Science+Business Media, LLC, part of Springer Nature.
PY - 2020/2/1
Y1 - 2020/2/1
N2 - In this paper, we present and discuss new constraint qualifications to ensure the validity of well-known second-order properties in nonlinear optimization. Here, we discuss conditions related to the so-called basic second-order condition, where a new notion of polar pairing is introduced in order to replace the polar operation, useful in the first-order case. We then proceed to define our second-order constraint qualifications, where we present an approach similar to the Guignard constraint qualification in the first-order case.
AB - In this paper, we present and discuss new constraint qualifications to ensure the validity of well-known second-order properties in nonlinear optimization. Here, we discuss conditions related to the so-called basic second-order condition, where a new notion of polar pairing is introduced in order to replace the polar operation, useful in the first-order case. We then proceed to define our second-order constraint qualifications, where we present an approach similar to the Guignard constraint qualification in the first-order case.
KW - Constraint qualifications
KW - Nonlinear optimization
KW - Second-order optimality conditions
UR - https://www.scopus.com/pages/publications/85075122256
U2 - 10.1007/s10957-019-01603-x
DO - 10.1007/s10957-019-01603-x
M3 - Article
AN - SCOPUS:85075122256
SN - 0022-3239
VL - 184
SP - 494
EP - 506
JO - Journal of Optimization Theory and Applications
JF - Journal of Optimization Theory and Applications
IS - 2
ER -