Well-setness and scalarization in set optimization

作者：Dhingra Mansi^*; Lalitha C S

来源：Optimization Letters, 2016, 10(8): 1657-1667.

DOI：10.1007/s11590-015-0942-z

• Set optimization problem
• Well-setness
• Scalarization
• Generalized Gerstewitz's function

In this paper, we consider a notion of global well-setness for a set optimization problem using the excess function. We give sufficient conditions for well-setness and establish Dontchev-Zolezzi type measure for well-setness. Moreover, we relate this notion with well-setness notion for a scalar problem obtained by using generalized Gerstewitz's function.

• 出版日期2016-12