Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6418378 | Journal of Mathematical Analysis and Applications | 2014 | 34 Pages |
Abstract
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.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Jing-Hui Qiu,