Well-posedness for set optimization problems

作者：Zhang W Y; Li S J^*; Teo K L

来源：Nonlinear Analysis-Theory Methods & Applications, 2009, 71(9): 3769-3778.

DOI：10.1016/j.na.2009.02.036

• Well-posedness
• Set optimization
• Gerstewitz's function

In this paper, three kinds of well-posedness for set optimization are first introduced. By virtue of a generalized Gerstewitz's function, the equivalent relations between the three kinds of well-posedness and the well-posedness of three kinds of scalar optimization problems are established, respectively. Then, sufficient and necessary conditions of well-posedness for set optimization problems are obtained by using a generalized forcing function, respectively. Finally, various criteria and characterizations of well-posedness are given for set optimization problems.

• 出版日期2009-11-1
• 单位重庆大学