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.

引用

页码：251 / 262

页数：12

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[2]

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[3]

Aussel D., 1994, J CONVEX ANAL, V1, P195

[4]

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