TY - JOUR
T1 - Approximations, expansions and univalued representations of multifunctions
AU - Dentcheva, Darinka
PY - 2001/7
Y1 - 2001/7
N2 - Approximations that serve as local directional expansions of the multifunction is introduced. An extension of the notion semi-differentiability is presented. The notion is modified by using a metric convergence on the hyperspace of nonempty closed subsets of Y, which is better suited to the infinite-dimensional case.
AB - Approximations that serve as local directional expansions of the multifunction is introduced. An extension of the notion semi-differentiability is presented. The notion is modified by using a metric convergence on the hyperspace of nonempty closed subsets of Y, which is better suited to the infinite-dimensional case.
KW - Castaing representation
KW - Delta theorems
KW - Higher-order differentiable multifunctions
KW - Selections
KW - Wijsman topology
UR - http://www.scopus.com/inward/record.url?scp=0035400803&partnerID=8YFLogxK
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U2 - 10.1016/S0362-546X(99)00331-4
DO - 10.1016/S0362-546X(99)00331-4
M3 - Article
AN - SCOPUS:0035400803
SN - 0362-546X
VL - 45
SP - 85
EP - 108
JO - Nonlinear Analysis, Theory, Methods and Applications
JF - Nonlinear Analysis, Theory, Methods and Applications
IS - 1
ER -