Complete Duality for Quasiconvex and Convex Set-Valued Functions

被引：3

作者：

Drapeau, Samuel ^{[1
,2
]}

Hamel, Andreas H. ^{[3
]}

Kupper, Michael ^{[4
]}

机构：

[1] Shanghai Jiao Tong Univ, SAIF CAFR, 211 West Huaihai Rd, Shanghai 200030, Peoples R China

[2] Shanghai Jiao Tong Univ, Dept Math, 211 West Huaihai Rd, Shanghai 200030, Peoples R China

[3] Free Univ Bolzano, Piazzetta Univ 1, I-39031 Brunico, Italy

[4] Univ Konstanz, Univ Str 10, D-78464 Constance, Germany

来源：

SET-VALUED AND VARIATIONAL ANALYSIS | 2016年 / 24卷 / 02期

关键词：

Set-valued functions; Quasiconvexity; Dual representation; Increasing functions; Fenchel-Moreau;

D O I：

10.1007/s11228-015-0332-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper provides a unique dual representation of set-valued lower semi-continuous quasiconvex and convex functions. The results are based on a duality result for increasing set-valued functions.

引用

页码：253 / 275

页数：23

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