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

Autor:	Qiu, Jing-Hui
Rok vydání:	2013
Předmět:	Mathematics - Functional Analysis 49J53 90C48 65K10 46A03
Druh dokumentu:	Working Paper
Popis:	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. Comment: This paper includes 47 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1311.4951 Zobrazit plný text záznamu View this record from Arxiv