Document Type
Technical Report
Abstract
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
2011.08
Disciplines
Applied Mathematics | Mathematics
AMS Subject Classification
49J52, 49J53, 90C29
Recommended Citation
Ginchev, Ivan and Mordukhovich, Boris S., "Directional Subdifferentials and Optimality Conditions" (2011). Mathematics Research Reports. 89.
https://digitalcommons.wayne.edu/math_reports/89
Comments
This research was partly supported by a grant of Technical University Varna, by the USA National Science Foundation under grant DMS-1007132, by the Australian Research Council under grant DP-1292508, and by the Portuguese Foundation of Science and Technologies under grant MAT/11109.