Second-order characterization of convex functions and its applications

被引：1

作者：

Nadi, Mohammad Taghi ^{[1
]}

Yao, Jen Chih ^{[3
]}

Zafarani, Jafar ^{[1
,2
]}

机构：

[1] Univ Isfahan, Esfahan 81745163, Iran

[2] Sheikhbahaee Univ, Esfahan 81745163, Iran

[3] Natl Sun Yat Sen Univ, Dept Appl Math, Kaohsiung 804, Taiwan

来源：

JOURNAL OF APPLIED ANALYSIS | 2019年 / 25卷 / 01期

关键词：

Convexity; second-order subdifferential; positive definite; optimality conditions; TILT STABILITY; MAXIMAL MONOTONICITY;

D O I：

10.1515/jaa-2019-0006

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Some developments of the second-order characterizations of convex functions are investigated by using the coderivative of the subdifferential mapping. Furthermore, some applications of the second-order subdifferentials in optimization problems are studied.

引用

页码：49 / 58

页数：10

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