Set-Valued Mapping Lower Semicontinuous Function Subdifferential Normal Cone Coderivative Marginal Function
Issue Date:
1996
Publisher:
Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Citation:
Serdica Mathematical Journal, Vol. 22, No 3, (1996), 359p-384p
Abstract:
The paper contains calculus rules for coderivatives of compositions,
sums and intersections of set-valued mappings. The types of coderivatives considered
correspond to Dini-Hadamard and limiting Dini-Hadamard subdifferentials
in Gˆateaux differentiable spaces, Fréchet and limiting Fréchet subdifferentials in
Asplund spaces and approximate subdifferentials in arbitrary Banach spaces. The
key element of the unified approach to obtaining various calculus rules for various
types of derivatives presented in the paper are simple formulas for subdifferentials
of marginal, or performance functions.
