Some results on nonconvex minimization for quasi-metric spaces

Alegre Gil Maria Carmen, Marín Molina Josefa

2014

Some results on nonconvex minimization for quasi-metric spaces

We provide a nonconvex minimization theorem in the seting of quasi-metric spaces and, as a consequence, we obtain a quasi-metric version of the Ekeland variational principle. Furthermore, we also give some results of minimization in complete quasi-metric spaces using the notion of mw-distance.