本文研究具有变序结构集优化问题的适定性.基于广义变下序关系(variable generalized lower less relation),给出了集优化问题的三种适定性概念.引进了近似解映射,讨论了该映射的性质.给出了具有变序结构集优化问题的三种适定性的充分条件.举例说明了文中的主要结果.
Well-posedness for Set Optimization with a Variable Ordering Structure
This paper investigates the well-posedness for set optimization with a variable ordering structure.Based on the variable generalized lower less relationship,three concepts of well-posedness are introduced for set optimization.An approximate solution mapping is introduced,and its properties are discussed.Three kinds of optimality sufficient conditions of the well posedness are established for set optimization with a variable ordering structure.Some examples are given to illustrate the main results.
万方数据
维普
