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Abstract We prove a non-smooth generalization of the global implicit function theorem. More precisely we use the non-smooth local implicit function theorem and the non-smooth critical point theory in order… Click to show full abstract
Abstract We prove a non-smooth generalization of the global implicit function theorem. More precisely we use the non-smooth local implicit function theorem and the non-smooth critical point theory in order to prove a non-smooth global implicit function theorem for locally Lipschitz functions. A comparison between several global inversion theorems is discussed. Applications to algebraic equations are given.
Keywords:
non smooth;
function theorem;
global implicit;
implicit function
Journal Title: Quaestiones Mathematicae
Year Published: 2017
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Journal Title: Quaestiones Mathematicae
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!