A pre-order principle and set-valued Ekeland variational principle [article]

Jing-Hui Qiu
2013 arXiv   pre-print
We establish a pre-order principle. From the principle, we obtain a very general set-valued Ekeland variational principle, where the objective function is a set-valued map taking values in a quasi ordered linear space and the perturbation contains a family of set-valued maps satisfying certain property. From this general set-valued Ekeland variational principle, we deduce a number of particular versions of set-valued Ekeland variational principle, which include many known Ekeland variational principles, their improvements and some new results.
arXiv:1311.4951v1 fatcat:ra5bwn7k2rahfdanr56k5djz2y