RT Journal Article
SR 00
ID 10.1007/BF00419366
A1 Mordukhovich, B.S.
A1 Shao, Y.
T1 Nonconvex differential calculus for infinite dimensional multifunctions
JF Set-Valued Analysis
YR 1996
FD 1996
VO 4
IS 3
SP 205
OP 236
AB The paper is concerned with generalized differentiation of set-valued mappings between Banach spaces. Our basic object is the so-called coderivative of multifunctions that was introduced earlier by the first author and has had a number of useful applications to nonlinear analysis, optimization, and control. This coderivative is a nonconvex-valued mapping which is related to sequential limits of Fréchet-like graphical normals but is not dual to any tangentially generated derivative of multifunctions. Using a variational approach, we develop a full calculus for the coderivative in the framework of Asplund spaces. The latter class is sufficiently broad and convenient for many important applications. Some useful calculus results are also obtained in general Banach spaces.
PB Springer
SN 0927-6947
LK https://pure.iiasa.ac.at/id/eprint/4683/