On Second-Order Generalized Convexity

被引：2
作者：
Zalinescu, C. [1 ,2 ]
机构：
[1] Univ Alexandru Ioan Cuza, Fac Math, Iasi 700506, Romania
[2] Romanian Acad, Octav Mayer Inst Math, Iasi, Romania
来源：
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2016年 / 168卷 / 03期
关键词：
Second-order (generalized) convex function; Semidefinite matrix; Quadratic function; MULTIOBJECTIVE PROGRAMMING-PROBLEMS; OBJECTIVE FUNCTION-METHOD; SYMMETRIC DUALITY; CONE CONSTRAINTS; I FUNCTIONS; CONVERSE DUALITY; BONVEX FUNCTIONS; INVEX FUNCTIONS; F-CONVEXITY; ETA;
D O I：
10.1007/s10957-015-0820-y
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：
Second-order convex functions were introduced by Mond (Opsearch 11(2-3):90-99, 1974) in order to deal with second-order duality. Then that notion was generalized again and again, using more and more parameters introduced using several quantifiers. In the present paper, we show that most of these notions have quite simple intrinsic characterizations. This paper can be viewed as a continuation of our paper (Zlinescu in An AtiinA pound Univ Al I Cuza IaAYi SecA pound I a Mat 35(3):213-220, 1989) in which we characterized generalized bonvex functions.
引用
收藏
页码：802 / 829
页数：28
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