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Inversion of multifunctions and differential inclusions. (English) Zbl 1158.47316

Summary: We present a new inverse mapping theorem for correspondences. It uses a notion of differentiability for multifunctions which seems to be new. We compare it with previous versions. We provide an application to differential inclusions.

MSC:

47J07 Abstract inverse mapping and implicit function theorems involving nonlinear operators
47H04 Set-valued operators
49J53 Set-valued and variational analysis
34A60 Ordinary differential inclusions
47N20 Applications of operator theory to differential and integral equations
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