Rejoinder on: Critical Lagrange multipliers: what we currently know about them, how they spoil our lives, and what we can do about it

We are also especially grateful to the colleagues who accepted the invitation of the Editor-in-Chief to participate in this discussion. All the discussants are leading experts in theoretical and numerical issues of optimization and variational analysis. Their insightful comments shed additional light on various aspects of the phenomenon in question, from a good number of different perspectives covering all the spectrum from “very theoretical” to “very practical”. We believe that joint efforts by everybody involved led to a truly fruitful and stimulating discussion. We also hope that due to the diversity, it will be of interest for a wide readership. In addition, all the commentators point out promising directions for future research related to critical multipliers. Below, we summarize their proposals, and give some comments on them.