In this paper, we use continuation technique to obtain estimates on the domain of invertibility for a diffeomorphism. We then apply these estimates to implicit function theorems. Our estimates are more feasible and sharper than those known in the literature.

Journal of optimization theory and applications

Continuation property; Diffeomorphism; Calculus of Variations and Optimal Control; Optimization; Operations Research/Decision Theory; Domain of invertibility; Mathematics; Theory of Computation; Hadamard–Lévy’s condition; Applications of Mathematics; Engineering, general; Optimization

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