By using the formula of the ε-subdifferential for the sum of a convex function with a composition of convex functions, some necessary and sufficient optimality conditions for a DC programming problem involving a composite function are obtained. As applications, a composed convex optimization problem, a DC optimization problem, and a convex optimization problem with a linear operator are examined at the end of this paper.
Xiang-Kai Sun. Hong-Yong Fu. "A Note on Optimality Conditions for DC Programs Involving Composite Functions." Abstr. Appl. Anal. 2014 (SI71) 1 - 6, 2014. https://doi.org/10.1155/2014/203467