Piecewise-smooth+ version of the implicit-function theorem
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- Miklyukov, V.M. Ukr Math J (2008) 60: 708. doi:10.1007/s11253-008-0092-x
We introduce a class of piecewise-smooth+ mappings and prove the implicit-function theorem for this class. The proof is based on the theorem on global homeomorphism, which follows from the well-known Chernavskii theorem.