RT Journal Article
SR 00
A1 Mordukhovich, B.S.
A1 Shao, Y.
T1 Nonsmooth sequential analysis in Asplund spaces
JF Transcripts of the American Mathematical Society
YR 1996
FD 1996-04
VO 348
IS 4
SP 1235
OP 1280
AB 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.
SN 0002-9947
LK https://pure.iiasa.ac.at/id/eprint/4684/
UL http://www.ams.org/journals/tran/1996-348-04/S0002-9947-96-01543-7/S0002-9947-96-01543-7.pdf