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
Analysis | Applied Mathematics | Mathematics
AMS Subject Classification
Primary 49J52, 46B20; Secondary 58C20
Fabian, Marian; Loewen, Philip D.; and Mordukhovich, Boris S., "Subdifferential Calculus in Asplund Generated Spaces" (2005). Mathematics Research Reports. 30.