TY  - JOUR
ID  - iiasa4684
UR  - http://www.ams.org/journals/tran/1996-348-04/S0002-9947-96-01543-7/S0002-9947-96-01543-7.pdf
IS  - 4
A1  - Mordukhovich, B.S.
A1  - Shao, Y.
Y1  - 1996/04//
N2  - 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.
JF  - Transcripts of the American Mathematical Society
VL  - 348
SN  - 0002-9947
TI  - Nonsmooth sequential analysis in Asplund spaces
SP  - 1235
AV  - none
EP  - 1280
ER  -