Second-order multiobjective symmetric duality involving cone-bonvex functions

被引：8
|
作者：
Gupta, S. K. [1 ]
Kailey, N. [2 ]
机构：
[1] Indian Inst Technol, Dept Math, Patna 800013, Bihar, India
[2] Thapar Univ, Sch Math & Comp Applicat, Patiala 147004, Punjab, India
来源：
JOURNAL OF GLOBAL OPTIMIZATION | 2013年 / 55卷 / 01期
关键词：
Multiobjective programming; Symmetric duality; K-eta-bonvexity; Duality theorems; Efficient solutions; INVEX FUNCTIONS;
D O I：
10.1007/s10898-012-9878-3
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 new pair of second-order multiobjective symmetric dual programs over arbitrary cones is formulated and appropriate duality theorems are then established under K-eta-bonvexity assumptions. We identify a function lying exclusively in the class of K-eta-bonvex and not in class of invex function already existing in literature. Self duality is also obtained by assuming the functions involved to be skew-symmetric.
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页码：125 / 140
页数：16
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