Farkas-Type Results for Vector-Valued Functions with Applications
Farkas-Type Results for Vector-Valued Functions with Applications
复制标题
DOI：
10.1007/s10957-016-1055-2
复制
发表时间：
2017-01
影响因子：
1.9
通讯作者：
N. Dinh;M. Goberna;M. López;T. H. Mo
中科院分区：
文献类型：
--
作者：
N. Dinh;M. Goberna;M. López;T. H. Mo
本文的主要目的是给出一个实局部凸拓扑空间中给定的二次系统的解集包含到由向量值函数定义的同一空间的各种子集上的刻画。这些Farkas型结果被用来刻画向量优化问题(包括多目标和标量问题)、向量变分不等式和向量平衡问题的弱解。
The main purpose of this paper consists of providing characterizations of the inclusion of the solution set of a given conic system posed in a real locally convex topological space into a variety of subsets of the same space defined by means of vector-valued functions. These Farkas-type results are used to derive characterizations of the weak solutions of vector optimization problems (including multiobjective and scalar ones), vector variational inequalities, and vector equilibrium problems.