Infinite alternative theorems and nonsmooth constraint qualification conditions (Q1928761)

In this paper, the authors obtain some infinite alternative theorems in locally convex spaces. Using Clarke's generalized subdifferential and Mordukhovich's limiting subdifferential, they introduce nonsmooth versions of some constraint qualification conditions in optimization theory, in the absence of differentiability, in Banach and Asplund spaces and relationships between them are established. For establishing some of these relations, they apply the provided alternative theorems.