We develop various (exact) calculus rules for Frechet lower and upper subgradients of extended-realvalued functions in general Banach spaces. Then we apply this calculus to derive new necessary optimality conditions for some remarkable classes of problems in constrained optimization including minimization problems for difference-type functions under geometric and operator constraints as well as subdifferential optimality conditions for the so-called weak sharp minima.
Number in Series
Applied Mathematics | Mathematics
AMS Subject Classification
Primary: 49J52, 49J53; Secondary: 40C30
Mordukhovich, Boris S.; Nam, Nguyen Mau; and Yen, N. D., "Fréchet Subdifferential Calculus and Optimality Conditions in Nondifferentiable Programming" (2005). Mathematics Research Reports. 29.