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

被引：0
作者：
Li Xing CHENG Xiao Yan LIU Mai Fang ZUO Department of Mathematics
机构：
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：
暂无
中图分类号：
O177.2 [巴拿赫空间及其线性算子理论];
学科分类号：
070104 ;
摘要：
This paper introduces a notion of linear perturbed Palais-Smale condition for real-valuedfunctions on Banach spaces.In terms of strongly exposed points,it presents a characterization whichguarantees linear perturbed Palais-Smale condition holds for lower semicontinuous functions withbounded effective domains defined on a Banach space with the Radon-Nikod■m property;and givesan 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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