Fabio Botelho
Published 2019-06-18Version 1
In this article we develop a duality principle suitable for a large class of problems in optimization. The main result is obtained through basic tools of convex analysis and duality theory. We establish a correct relation between the critical points of the primal and dual formulations and formally prove there is no duality gap between such formulations, in a local extremal context.
A duality principle for non-convex optimization in $\mathbb{R}^n$
Non-convex optimization problems for maximum hands-off control
A duality principle for a semi-linear model in micro-magnetism
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