"4684","5","archive","351",,,"disk0/00/00/46/84","2016-01-15 02:06:51","2021-08-27 17:36:14","2016-01-15 02:06:51","article",,,"show","","","1",,,"Mordukhovich","B.S.","","","7482","","",,,,,"","","Nonsmooth sequential analysis in Asplund spaces","pub","","iis_met","prog_dyn",,,"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.","1996-04","published",,,"http://www.ams.org/journals/tran/1996-348-04/S0002-9947-96-01543-7/S0002-9947-96-01543-7.pdf",,,,,"",,,,,"",,,,,"",,,,,"","",,"","XJ-96-017",,,,,,"1461","none",,,,"Transcripts of the American Mathematical Society","348","4",,"1235-1280",,,,,,,,,,,"TRUE",,"0002-9947",,,,,,"","","","",,"","",,,,,,,"",,,,,"FALSE",,,"info:eu-repo/semantics/article",
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