An inverse-function theorem for a class of multivalued functions

Robinson, Stephen M.

doi:10.1090/S0002-9939-1973-0320746-7

An inverse-function theorem for a class of multivalued functions
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Proc. Amer. Math. Soc. 41 (1973), 211-218 Request permission

Abstract:

The inverse-function theorem is generalized to multivalued functions of the form $f(x) + K$, where $f$ is a differentiable single-valued function and $K$ is a nonempty closed convex cone. An application to Pareto optimization is given.

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