Document Type
Technical Report
Abstract
We extend the definition of the limiting Frechet subdifferential and the limiting Frechet normal cone from Asplund spaces to Asplund generated spaces. Then we prove a sum rule, a mean value theorem, and other statements for this concept.
Number in Series
2005.07
Disciplines
Analysis | Applied Mathematics | Mathematics
AMS Subject Classification
Primary 49J52, 46B20; Secondary 58C20
Recommended Citation
Fabian, Marian; Loewen, Philip D.; and Mordukhovich, Boris S., "Subdifferential Calculus in Asplund Generated Spaces" (2005). Mathematics Research Reports. 30.
https://digitalcommons.wayne.edu/math_reports/30
Comments
Research was partly supported by the Institutional Research Plan of the Academy of Sciences of Czech Republic and by grants GA CR 201/01/1198, GA CR 201/04/0090, by the National Science Foundation under grant DMS-0304989, and by the Australian Research Council under grant DP-0451168.