CHARACTERIZATIONS OF PREINVEX AND PREQUASIINVEX SET-VALUED MAPS

被引：10

作者：

Jabarootian, T. ^{[1
]}

Zafarani, J. ^{[2
,3
]}

机构：

[1] Islamic Azad Univ, Khomeiny Shahr Branch, Dept Math, Khomeiny Shahr 84175119, Isfahan, Iran

[2] Sheikhbahaee Univ, Dept Math, Esfahan 81745163, Iran

[3] Univ Isfahan, Esfahan 81745163, Iran

来源：

TAIWANESE JOURNAL OF MATHEMATICS | 2009年 / 13卷 / 03期

关键词：

Set-valued map; Preinvex functions; Prequasiinvex functions; Vector optimization problem; INVEX FUNCTIONS; NONCONVEX FUNCTIONS; CONVEX; OPTIMIZATION; CRITERIA;

D O I：

10.11650/twjm/1500405445

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The purpose of this paper is to characterize in terms of scalar preinvexity (resp. prequasiinvexity) the set-valued maps which are K-preinvex (resp. K-prequasiinvex) with respect to a closed convex cone K. Moreover, as applications of our results some conditions under which a local solution of set-valued scalar optimization for (VP) is a global supper efficient solution for (VP) are given.

引用

页码：871 / 898

页数：28

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