Farkas-Type Results for Vector-Valued Functions with Applications

作者：Dinh N; Goberna M A; Lopez M A^*; Mo T H

来源：Journal of Optimization Theory and Applications, 2017, 173(2): 357-390.

DOI：10.1007/s10957-016-1055-2

• Farkas-type theorems
• Vector optimization
• Weak solutions
• Vector variational inequalities
• Vector equilibrium problems

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.

• 出版日期2017-5