Higher-order optimality conditions for weakly efficient solutions in nonconvex set-valued optimization

Unfortunately, the incorrect version of [1, Theorem 4.3] was published. The correct version of [1, Theorem 4.3] is given in this paper. By employing the generalized higher-order contingent derivatives of set-valued maps, Wang et al. [1] established a sufficient optimality condition of weakly efficient solutions for (SV P): (SV P) min F(x), s.t. G(x) (−D) = ∅, x ∈ E. Theorem 1 (see [1, Theorem 4.3]) Assume that the following conditions are satisfied: