Abstract
In this chapter we will first discuss a generalization of local inverse function theorem due to Clarke and Hadamard's theorem due to Pourciau when F is a Lipschitzian function but not necessarily a C(1) function. We will then discuss the notion of monotone functions. Next we will say something about PL functions. Finally we will discuss global univalent results when the Jacobian is allowed to vanish. Main aim of this chapter is to indicate possible generalizations in global univalent results.
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© 1983 Springer-Verlag
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Parthasarathy, T. (1983). Further generalizations and remarks. In: On Global Univalence Theorems. Lecture Notes in Mathematics, vol 977. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0065576
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DOI: https://doi.org/10.1007/BFb0065576
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-11988-3
Online ISBN: 978-3-540-39462-4
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