A Note on Optimality Conditions for DC Programs Involving Composite Functions

Xiang-Kai Sun, Hong-Yong Fu
2014 Abstract and Applied Analysis  
By using the formula of theε-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.
doi:10.1155/2014/203467 fatcat:h4fomyybwzcj3hqsdm5gzv66hi