# A Mountain Pass Lemma and its implications regarding the uniqueness of constrained minimizers

@article{Mascarenhas2011AMP, title={A Mountain Pass Lemma and its implications regarding the uniqueness of constrained minimizers}, author={Walter F. Mascarenhas}, journal={Optimization}, year={2011}, volume={60}, pages={1121 - 1159} }

We present a version of the classical Mountain Pass Lemma and explain how to combine it with constraint qualifications to prove that nonlinear programming problems have a unique local minimizer.

## One Citation

Almost sure uniqueness of a global minimum without convexity

- Mathematics, EconomicsThe Annals of Statistics
- 2020

This paper provides a theorem for the set of global minimizers, the argmin, of a random objective function to be unique almost surely. The usual way to get uniqueness is to assume the function is…

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