On Ekeland's Variational Principle for Set-Valued Mappings

作     者：Sheng-jie Li Wen-yan Zhang 

作者机构：College of Mathematics and Science Chongqing University Chongqing 400044 China 

出 版 物：《Acta Mathematicae Applicatae Sinica》 (应用数学学报（英文版）)

年 卷 期：2007年第23卷第1期

页      面：141-148页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：Supported by the National Natural Science Foundation of China(No.60574073 No.10471142) 

主　　题：Vector Ekeland variational principle nonlinear scalarization function metric space set-valued mapping 

摘      要：In this paper, we derive a general vector Ekeland variational principle for set-valued mappings, which has a dosed relation to εk^0 -efficient points of set-valued optimization problems. The main result presented in this paper is a generalization of the corresponding result in [3].