Nondifferentiable multiobjective Mond-Weir type second-order symmetric duality over cones

被引：19

作者：

Gulati, T. R. ^{[1
]}

Mehndiratta, Geeta ^{[1
]}

机构：

[1] Indian Inst Technol, Dept Math, Roorkee 247667, Uttar Pradesh, India

来源：

OPTIMIZATION LETTERS | 2010年 / 4卷 / 02期

关键词：

Second-order symmetric duality; Second-orderK-F-convexity; K-eta-bonvexity; Cones; Multiobjective programming; Efficient solutions; FRACTIONAL-PROGRAMMING PROBLEMS; OPTIMALITY CONDITIONS; INVEX FUNCTIONS; F-CONVEXITY; CONSTRAINTS;

D O I：

10.1007/s11590-009-0161-6

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：

In this paper, a pair of Mond-Weir type nondifferentiable multiobjective second-order symmetric dual programs over arbitrary cones is formulated. Weak, strong and converse duality theorems are established under second-order K-F-convexity/K-eta-bonvexity assumptions. A self duality theorem is also obtained by assuming the functions involved to be skew-symmetric.

引用

页码：293 / 309

页数：17

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