Inhomogeneous convex approximations of nonsmooth functions
Maksim V. Dolgopolik · Russian Mathematics · 2012
In this paper we introduce notions of inhomogeneous upper convex and lower concave approximations of an increment of a nonsmooth function defined on a normed space and study exhaustive families of these approximations. In terms of the introduced notions we establish optimality conditions for various constrained and unconstrained extremum problems.