In this paper directionally contextual concepts of variational analysis, based on dual-space constructions similar to those in [4, 5], are introduced and studied. As an illustration of their usefulness, necessary and also sufficient optimality conditions in terms of directioual subdifferentials are established, and it is shown that they can be effective in the situations where known optimality conditions in terms of nondirectional subdifferentials fail.
Number in Series
Applied Mathematics | Mathematics
AMS Subject Classification
49J52, 49J53, 90C29
Ginchev, Ivan and Mordukhovich, Boris S., "On Directionally Dependent Subdifferentials" (2010). Mathematics Research Reports. 76.