Nondifferentiable fractional semi-infinite multiobjective optimization problems

被引：29
|
作者：
Thai Doan Chuong [1 ]
机构：
[1] Univ New S Wales, Sch Math & Stat, Sydney, NSW 2052, Australia
来源：
OPERATIONS RESEARCH LETTERS | 2016年 / 44卷 / 02期
关键词：
Fractional semi-infinite multiobjective programming; Optimality condition; Duality; Limiting subdifferential; Generalized convex function; DUALITY; OPTIMALITY;
D O I：
10.1016/j.orl.2016.02.003
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：
Employing some advanced tools of variational analysis and generalized differentiation, we establish necessary conditions for local (weakly) efficient solutions of a nonsmooth fractional multiobjective optimization problem with an infinite number of inequality constraints. Sufficient conditions for such solutions to the considered problem are also obtained by means of proposing the use of (strictly) generalized convex functions. In addition, we state a dual problem to the primal one and explore duality relations. (C) 2016 Elsevier B.V. All rights reserved.
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页码：260 / 266
页数：7
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