eprintid: 4684 rev_number: 5 eprint_status: archive userid: 351 dir: disk0/00/00/46/84 datestamp: 2016-01-15 02:06:51 lastmod: 2021-08-27 17:36:14 status_changed: 2016-01-15 02:06:51 type: article metadata_visibility: show item_issues_count: 1 creators_name: Mordukhovich, B.S. creators_name: Shao, Y. creators_id: 7482 title: Nonsmooth sequential analysis in Asplund spaces ispublished: pub internal_subjects: iis_met internal_subjects: iis_mod divisions: prog_dyn abstract: 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. date: 1996-04 date_type: published official_url: http://www.ams.org/journals/tran/1996-348-04/S0002-9947-96-01543-7/S0002-9947-96-01543-7.pdf iiasapubid: XJ-96-017 creators_browse_id: 1461 full_text_status: none publication: Transcripts of the American Mathematical Society volume: 348 number: 4 pagerange: 1235-1280 refereed: TRUE issn: 0002-9947 coversheets_dirty: FALSE fp7_type: info:eu-repo/semantics/article citation: Mordukhovich, B.S. & Shao, Y. (1996). Nonsmooth sequential analysis in Asplund spaces. Transcripts of the American Mathematical Society 348 (4) 1235-1280.