约束向量优化问题的良定性

Well-Posedness of Constrained Vector Optimization Problems

建立了约束向量优化问题的有限理性模型.利用这个模型给出了约束向量优化问题的Levitin-Polyak良定性和Hadamard良定性概念且更进一步统一了两种不同类型良定性的概念.在一个抽象的框架下,给出了约束向量优化问题的各种良定性的充分条件.

A bounded rationality model M for constrained vector optimization problems is established in this paper .Using this model ,the notions of Hadamard well-posedness and Levitin-Polyak well-posedness for vector optimization problems with constraints are introduced .Furthermore ,a new well-posedness concept , which unifies the two different notions of well-posedness is obtained .Under the abstract framework ,sufficient conditions on the well-posedness for various vector optimization problems with constraints are given .