论文标题
关于弱均质优化问题解决方案集的非空性和界限
On the Nonemptiness and Boundedness of Solution Sets of Weakly Homogeneous Optimization Problems
论文作者
论文摘要
在本文中，我们引入了一系列新的优化问题，其目标函数相对于约束集弱均匀。通过在渐近分析中使用归一化参数，我们证明了两个弱均质优化问题的溶液集的非空性和有限性的标准。此外，标准化参数使我们能够研究线性参数优化问题的解决方案集的存在和稳定性。给出了几个示例以说明派生结果。
In this paper, we introduce a new class of optimization problems whose objective functions are weakly homogeneous relative to the constraint sets. By using the normalization argument in asymptotic analysis, we prove two criteria for the nonemptiness and boundedness of the solution set of a weakly homogeneous optimization problem. Moreover, the normalization argument enables us to study the existence and stability of the solution sets of linearly parametric optimization problems. Several examples are given to illustrate the derived results.
