This paper is devoted to the introduction and development of new dual-space constructions of generalized differentiation in variational analysis, which combine certain features of subdifferentials for nonsmooth functions (resp. normal cones to sets) and directional derivatives (resp. tangents). We derive some basic properties of these constructions and apply them to optimality conditions in problems of unconstrained and constrained optimization.
Number in Series
Applied Mathematics | Mathematics
AMS Subject Classification
49J52, 49J53, 90C29
Ginchev, Ivan and Mordukhovich, Boris S., "Directional Subdifferentials and Optimality Conditions" (2011). Mathematics Research Reports. 89.