A Linear Perturbed Palais-Smale Condition for Lower Semicontinuous Functions on Banach spaces

被引：2
|
作者：
Cheng, Li Xing [1 ]
Liu, Xiao Yan [1 ]
Zuo, Mai Fang [1 ]
机构：
[1] Xiamen Univ, Dept Math, Xiamen 361005, Peoples R China
来源：
ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2008年 / 24卷 / 11期
关键词：
Palais-Smale condition; variational question; perturbed optimization; Radon-Nikodym property; Banach space;
D O I：
10.1007/s10114-008-7163-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper introduces a notion of linear perturbed Palais-Smale condition for real-valued functions on Banach spaces. In terms of strongly exposed points, it presents a characterization which guarantees linear perturbed Palais-Smale condition holds for lower semicontinuous functions with bounded effective domains defined on a Banach space with the Radon-Nikodym property; and gives an example showing that linear perturbed P-S condition is strictly weaker than the P-S condition.
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页码：1853 / 1860
页数：8
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