Two-Variable Domination Structures and Applications in Vector Optimization
本文在实拓扑Hausdorff线性空间中引入并研究了考虑每次比较中两个点的支配结构，将其用于定义集合的最小元和向量优化问题的最优性概念，并给出了非线性标量化结果，适用于已知方法失效的可变序结构向量优化问题。
Abstract In this paper, we introduce and study domination structures in real topological Hausdorff linear spaces that take into account the two involved points at each comparison. These binary relations are then applied to define notions of minimizer of a set and optimality concepts for vector optimization problems in the usual way, and their basic properties are obtained. Results on nonlinear scalarization to characterize them are also stated, which can be applied to vector optimization problems with variable ordering structures where the known ones do not work. Comparisons with results of the literature and illustrative examples are given as well.