共查询到19条相似文献,搜索用时 372 毫秒
1.
2.
3.
4.
5.
本文利用文[1]中的有关结果,讨论带等式约束和不等式约束的多目标规划关于Geoffrion真有效解的对偶性,建立了Wolfe及Mond-Weir型对偶问题,并在G-(F,ρ)凸型假设下,证明了弱、强及逆对偶定理. 相似文献
6.
本文研究带不等式和等式约束的多目标规划的Mond-Weir型对偶性理论。在目标和约束是广义凸的假设下,证明了弱对偶定理、直接对偶定理以及逆对偶定理 相似文献
7.
给出一对锥约束多目标非线性规划的二阶对称对偶问题,以及二阶F凸函数类的概念.在二阶F凸假设下证明了真有效解的对偶性质———弱对偶性、强对偶性及逆对偶性. 相似文献
8.
本文研究带不等式和等式约束的多目标规划的Mond-Weir型对偶性理论。在目标和约束是广义凸的假设下,证明了弱对偶定理、直接对偶定理以及逆对偶定理。 相似文献
9.
本文主要研究E-凸函数的若干性质,引入E-凸多目标规划的定义,建立E-凸多目标规划的Mond-Weir型对偶问题,并在E.凸条件假设下,证明E-凸多目标规划的弱对偶性、直接对偶性及逆对偶性. 相似文献
10.
11.
12.
13.
Gert Wanka 《Journal of Mathematical Analysis and Applications》2002,275(1):354-368
In this paper we present a duality approach for a multiobjective fractional programming problem. The components of the vector objective function are particular ratios involving the square of a convex function and a positive concave function. Applying the Fenchel-Rockafellar duality theory for a scalar optimization problem associated to the multiobjective primal, a dual problem is derived. This scalar dual problem is formulated in terms of conjugate functions and its structure gives an idea about how to construct a multiobjective dual problem in a natural way. Weak and strong duality assertions are presented. 相似文献
14.
15.
研究一类多目标分式规划的二阶对称对偶问题.在二阶F-凸性假设下给出了对偶问题的弱对偶、强对偶和逆对偶定理.并在对称和反对称假设下研究了该问题的自身对偶性. 相似文献
16.
In this paper, two conjugate dual problems are proposed by considering the different perturbations to a set-valued vector optimization problem with explicit constraints. The weak duality, inclusion relations between the image sets of dual problems, strong duality and stability criteria are investigated. Some applications to so-called variational principles for a generalized vector equilibrium problem are shown. 相似文献
17.
《Optimization》2012,61(3):415-428
Abstract Lagrange duality theorems for vector and set optimization problems which are based on a consequent usage of infimum and supremum (in the sense of greatest lower and least upper bounds with respect to a partial ordering) have been recently proven. In this note, we provide an alternative proof of strong duality for such problems via suitable stability and subdifferential notions. In contrast to most of the related results in the literature, the space of dual variables is the same as in the scalar case, i.e. a dual variable is a vector rather than an operator. We point out that duality with operators is an easy consequence of duality with vectors as dual variables. 相似文献
18.
S. J. Li X. K. Sun H. M. Liu S. F. Yao K. L. Teo 《Numerical Functional Analysis & Optimization》2013,34(1):65-82
In this article, under a concept of supremum/infimum of a set, defined in terms of a closure of the set, three kinds of conjugate dual problems are proposed for a constrained set-valued vector optimization problem. Weak duality, strong duality, and stability criteria are investigated. The inclusion relations between the image sets of the dual problems are also discussed. 相似文献
19.
贾继红 《纯粹数学与应用数学》2008,24(2)
通过引入广义弧连通概念,在Rn空间中,研究极大极小非凸分式规划问题的最优性充分条件及其对偶问题.首先获得了极大极小非凸分式规划问题的最优性充分条件;然后建立分式规划问题的一个对偶模型并得到了弱对偶定理,强对偶定理和逆对偶定理. 相似文献