A pre-order principle and set-valued Ekeland variational principle

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:419

Article

Qiu, Jing-Hui

关键词: Pre-order principle;    Ekeland variational principle;    Set-valued map;    Perturbation;    Locally convex space;    Vector optimization;   

DOI  :  10.1016/j.jmaa.2014.05.027

来源: Elsevier

【 摘 要 】

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. (C) 2014 Elsevier Inc. All rights reserved.

【 授权许可】

Free