In linear topological spaces we study the geometric properties of ε - efficient solutions for general vector optimization problems .

本文对线性拓扑空间中一般 向量 极值问题的ε-有效解的几何性质进行了研究，得到了几个定理；

And finally the optimality conditions are obtained for set-valued vector optimization problems in a sense of weak efficient solutions by applying the theorem .

运用此定理获得了弱有效解意义下的集值 向量 优化问题的最优性条件。

The Properties of Weak Effective Solution of Vector Optimization Problems of Set Valued Mapping

集值映射 向量 优化问题弱有效解的性质

Then we introduce a mixed vector equilibrium problem ( MVEP ) and an equivalent vector optimization problem .

其次，引入了一种混合向量平衡问题（MVEP），并建立了与该混合向量平衡问题等价的 向量 优化问题。

A Property of Generalized Strictly Efficient Solutions for Vector Optimization Problems

向量 优化问题广义严格有效解的一个性质

On Some Aspects of Duality and Stability in Vector Optimization

向量 优化中的若干对偶和稳定性研究

Cone Characterizations about Efficient Points and Efficient Solutions of Vector Optimization Problems with Set-Valued Maps

集合的有效点和集值 优化问题有效解的锥 刻画

The main content of this paper is the research of synergetic neural network model and the prototype vector optimization .

本文围绕协同神经网络模型、原型 向量 的 优化等方面进行了研究。

Super efficient point in vector optimization problems with set-valued maps characterized by generalized saddle point ;

本文 研究集 值 优化问题严有效解的广义鞍点刻画问题。

Feature Vector Optimization in Face Recognition

人脸识别中的特征 向量 优化 算法 研究

Finally we give some applications of ( IVEP ) to vector variational inequality problems and vector optimization problems .

最后在第五节里，我们举出了一些隐式向量均衡问题（IVEP）应用到向量变分不等式问题和 向量 优化问题的例子。

Essential Solutions and Essential Components of the Solution Set of Infinite Dimensional Vector Optimization Problems

无穷维 向量 优化问题的本质解及解集的本质连通区

ε - Properly Efficient Solutions of Vector Optimization Problems with Set-Valued Maps in Linear Spaces

线性空间中集值映射 向量 优化问题的ε-真有效解

The Mond_Weir duality for generalized vector optimization is dealt with in this paper . This paper proves the theorems on weak duality between primary problem and dual problem direct duality and inverse duality .

对广义 向量 最优化问题建立了Mond＿Weir型对偶，证明了原问题和对偶问题之间的弱对偶定理、直接对偶定理和逆对偶定理。

Optimality Conditions for a kind of Set-Valued Vector Optimization of Maps

一类集值映射 向量 优化问题的最优性条件

As an application the dual forms of various superefficient points are given for vector optimization problems .

作为它的应用，给出了 向量 优化问题多种超有效点的对偶形式。

Some characterizations of efficient and strictly efficient solutions of set-valued vector optimization problems

集值 向量 优化问题有效解和严格有效解的一些刻画

In this paper we define the generalized efficient solution and prove the existence of the generalized efficient solution for nondifferentiable vector optimization problems by using set-valued mapping vector quasi-variational inequalities .

文中定义了广义有效解，并利用集值映射向量似变分不等式证明了不可微 向量 优化问题的广义有效解的存在性。

Study of vector optimization with control parameters

带有控制参量的 向量 优化 问题研究

The vector optimization problems with control parameters in topological vector spaces are considered .

在拓扑向量空间中，考虑了带有控制参量的 向量 优化问题。

Benson proper efficiency in vector optimization with set-valued maps

集值 向量 优化的Benson真有效性

Up Semi-continuous of the Ideal Solutions of Vector Optimization Problems with Set-valued Maps

集值映射 向量 优化问题理想解的上半连续性

Under the condition that the objective mapping is cone quasiconvex we prove the connectedness of the set of super efficient solutions to vector optimization .

证明了目标映射为锥拟凸的 向量 优化 问题的超有效解集是连通的。

First we introduced the theory of vector optimization and approach to get noninferior solution .

首先我们给出了 向量 优化的基础理论和求解非劣集的主要方法。

The Characterization of Strong-Efficient Solution of Set-Valued Vector Optimization with Generalized Gradient

用广义梯度刻画集 值 优化的强有效解调强放射治疗中强度分布 优化方法的研究

Connectivity of the Henig Proper Efficient Point ( Solution ) Set for Vector Optimization

向量 优化的Henig真有效点（解）集的连通性

The vector optimization problems being of set-valued objective and constraint functions are considered .

讨论了目标函数及约束函数均为集值映射的 向量 最优化问题。

Based on the second a direct method of vector optimization for multiobjective dynamic programming is presented .

在第2个结论的基础上，提出了多目标动态规划 向量 优化直接算法。

Variational Models and Set-valued Analysis in Vector Optimization

向量 优化中的变分模型与集值分析

Lagrangian Dual Problem in Linear Vector Optimization of Set-Value Constraint

集值约束的线性 向量 优化中的拉格朗日对偶问题