INTERSECTION FORMULAS AND THE MARGINAL FUNCTION IN BANACH-SPACES

Intersection formulae are central to the development of subdifferentia l calculus and the differentiation of marginal functions. In this pape r, we reexamine the connection between independence conditions and int ersection formulae. Then we apply the formulae to a general parametric mathematical programming problem in which the constraints are defined by multivalued functions. These results allow us to obtain generalize d chain rules for composite functions. Corollaries of this work includ e several well-known intersection formulae and calculus rules. (C) 199 5 Academic Press, Inc.