
AbstractWe generalize local and global inverse function theorems to continuous transformations in Rn, replacing nonexistent derivatives by set-valued “unbounded derivate containers.” We also construct and study unbounded and ordinary derivate containers, including extensions of generalized Jacobians.
Implicit function theorems, Jacobians, transformations with several variables, unbounded derivate containers, generalized Jacobians, set-valued derivatives, Applied Mathematics, Continuity and differentiation questions, Analysis, generalization of local and global inverse function theorems
Implicit function theorems, Jacobians, transformations with several variables, unbounded derivate containers, generalized Jacobians, set-valued derivatives, Applied Mathematics, Continuity and differentiation questions, Analysis, generalization of local and global inverse function theorems
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