Second-order Dini set-valued directional derivative in C1,1 vector optimization
The constrained vector optimization problem [image omitted] is studied, where [image omitted], [image omitted] and [image omitted] are C1,1 functions, and [image omitted] and [image omitted] are closed convex cones. In terms of the second-order Dini set-valued directional derivative, second-order necessary conditions a point x0 to be a weakly efficient point and second-order sufficient conditions x0 to be an isolated minimizer of order two are established.
vector optimization c1 1 optimization second-order optimality conditions second-order directional derivatives dini derivatives set-valued derivatives