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Accession Number:
AD0481551
Title:
SOME PROPERTIES OF AN OPTIMAL VALUE FUNCTION.
Corporate Author:
GRUMMAN AIRCRAFT ENGINEERING CORP BETHPAGE NY RESEARCH DEPT
Report Date:
1966-04-01
Abstract:
If f. . . denotes a functional BxM -- E1 B real normed linear space, M metric space, and if fsuperscript o. denotes an associated optimal value functional defined by the rule fsuperscript ox sup f x, mu and the point mu belongs to the set M then the following questions arise 1 Where is fsuperscript o continuous 2 Where is fsuperscript o differentiable. Within the framework of certain reasonable assumptions on the properties of M and f, this paper answers questions 1 and 2. In particular, it offers a necessary and sufficient condition for the existence of a continuous derivative of fsuperscript o on subsets of B.
Descriptive Note:
Research memo.,
Pages:
0015
Contract Number:
AF 49(638)-1512
File Size:
0.00MB
