On generalized convex functions and generalized subdifferential II

被引：3

作者：

Alizadeh, Mohammad Hossein ^{[1
]}

机构：

[1] Inst Adv Studies Basic Sci IASBS, Dept Math, Zanjan 4513766731, Iran

来源：

OPTIMIZATION LETTERS | 2021年 / 15卷 / 06期

基金：

美国国家科学基金会;

关键词：

Convex functions; Generalized convex functions; Conjugates; Generalized subdifferentials;

D O I：

10.1007/s11590-020-01682-0

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：

We introduce and study the notion of the (sigma, y)-conjugate of a proper sigma-convex function. Some relations between the sigma-subdifferentials and the Clarke-Rockafellar subdifferential are established. Also, we present some results regarding the sigma-monotonicity of the sigma-subdifferential of a function and its sigma-convexity. Moreover, we obtain some particular relationships between the sigma-subdifferential and the (sigma, y)-conjugate.

引用

页码：2225 / 2240

页数：16

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