Generalized monotonicity of subdifferentials and generalized convexity

被引：13
|
作者：
Penot, JP [1 ]
Sach, PH [1 ]
机构：
[1] HANOI INST MATH, HANOI, VIETNAM
来源：
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 1997年 / 94卷 / 01期
关键词：
convexity; generalized convexity; monotone functions; pseudoconvexity; pseudomonotone functions; quasiconvexity; quasimonotone functions; subdifferentials;
D O I：
10.1023/A:1022628223741
中图分类号：
C93 [管理学]; O22 [运筹学];
学科分类号：
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要：
Characterizations of convexity and quasiconvexity of lower semicontinuous functions on a Banach space X are presented in terms of the contingent and Frechet subdifferentials. They rely on a general mean-value theorem for such subdifferentials, which is valid in a class of spaces which contains the class of Asplund spaces.
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页码：251 / 262
页数：12
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