Second order symmetric duality for nondifferentiable multiobjective programming involving cones

被引：1

作者：

Kim, Do Sang ^{[1
]}

Kang, Hun Suk ^{[1
]}

Lee, Yu Jung ^{[1
]}

机构：

[1] Pukyong Natl Univ, Dept Appl Math, Pusan 608737, South Korea

来源：

TAIWANESE JOURNAL OF MATHEMATICS | 2008年 / 12卷 / 06期

关键词：

nondifferentiable multiobjective programming; second order generalized convexity functions; second order symmetric duality;

D O I：

10.11650/twjm/1500405030

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We construct Mond-Weir and Wolfe types of nondifferentiable multiobjective second order symmetric dual problems with cone constraints over arbitrary closed convex cones. Weak, strong, and converse duality theorems for weakly efficient solutions are established under the assumptions of second order invex and pseudo-invex functions. Several known results are obtained as special cases of our symmetric duality.

引用

页码：1347 / 1363

页数：17