TY - JOUR
T1 - Optimality conditions for pseudoconvex minimization over convex sets defined by tangentially convex constraints
AU - Martínez-Legaz, Juan Enrique
PY - 2015/6/26
Y1 - 2015/6/26
N2 - © 2014, Springer-Verlag Berlin Heidelberg. We present necessary and sufficient optimality conditions for the minimization of pseudoconvex functions over convex sets defined by non necessarily convex functions, in terms of tangential subdifferentials. Our main result unifies a recent KKT type theorem obtained by Lasserre for differentiable functions with a nonsmooth version due to Dutta and Lalitha.
AB - © 2014, Springer-Verlag Berlin Heidelberg. We present necessary and sufficient optimality conditions for the minimization of pseudoconvex functions over convex sets defined by non necessarily convex functions, in terms of tangential subdifferentials. Our main result unifies a recent KKT type theorem obtained by Lasserre for differentiable functions with a nonsmooth version due to Dutta and Lalitha.
KW - Convex optimization
KW - Nonsmooth optimization
KW - Optimality conditions
U2 - https://doi.org/10.1007/s11590-014-0822-y
DO - https://doi.org/10.1007/s11590-014-0822-y
M3 - Article
SN - 1862-4472
VL - 9
SP - 1017
EP - 1023
JO - Optimization Letters
JF - Optimization Letters
IS - 5
ER -