We derive exact calculus rules for the directed subdifferential defined for the class of directed subdifferentiable functions. We also state optimality conditions, a chain rule and a mean-value theorem. Thus, we extend the theory of the directed subdifferential from quasidifferentiable to directed subdifferentiable functions.
- Difference of convex (DC) functions
- Directional derivatives
- Mean-value theorem and chain rule for nonsmooth functions
- Nonconvex subdifferentials