An inverse mapping theorem for set-valued maps

Dontchev, A. L.; Hager, W. W.

doi:10.1090/S0002-9939-1994-1215027-7

An inverse mapping theorem for set-valued maps
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by A. L. Dontchev and W. W. Hager PDF

Proc. Amer. Math. Soc. 121 (1994), 481-489 Request permission

Abstract:

We prove that certain Lipschitz properties of the inverse ${F^{ - 1}}$ of a set-valued map F are inherited by the map ${(f + F)^{ - 1}}$ when f has vanishing strict derivative.

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