%0 Journal Article
%@ 0002-9947
%A Mordukhovich, B.S.
%A Shao, Y.
%D 1996
%F iiasa:4684
%J Transcripts of the American Mathematical Society
%N 4
%P 1235-1280
%T Nonsmooth sequential analysis in Asplund spaces
%U https://pure.iiasa.ac.at/id/eprint/4684/
%V 348
%X We develop a generalized differentiation theory for nonsmooth functions and sets with nonsmooth boundaries defined in Asplund spaces. This broad subclass of Banach spaces provides a convenient framework for many important applications to optimization, sensitivity, variational inequalities, etc. Our basic normal and subdifferential constructions are related to sequential weak-star limits of Frechet normals and subdifferentials. Using a variational approach, we establish a rich calculus for these nonconvex limiting objects which turn out to be minimal among other set-valued di erential constructions with natural properties. The results obtained provide new developments in infinite dimensional nonsmooth analysis and have useful applications to optimization and the geometry of Banach spaces.