典型文献
Generalized Well-Posedness and Stability of Solutions in Set Optimization
文献摘要：
The aim of this paper is to investigate the well-posedness and stability in set opti-mization.The notion of generalized well-posedness for set optimization problems is introduced using the embedding technique for the first time.Some criteria and characterizations of this type of well-posedness are derived.Sufficient conditions are also given for this type of well-posedness.Moreover,by virtue of a generalized Gerstewitz's function,the equivalent relation between this type of well-posedness and the generalized well-posedness of a scalar optimization problem is established.Finally,the upper semi-continuity and lower semi-continuity of weak efficient so-lution mappings for parametric set optimization problems are investigated under some suitable conditions.
文献关键词：
中图分类号：
作者姓名：
Congjun ZHANG;Zhiwei WANG;Sai LI
作者机构：
School of Applied Mathematics,Nanjing University of Finance and Economics,Jiangsu 210023,P.R.China;Department of Mathematics,Nanjing University,Jiangsu 210093,P.R.China
文献出处：
引用格式：
[1]Congjun ZHANG;Zhiwei WANG;Sai LI-.Generalized Well-Posedness and Stability of Solutions in Set Optimization)[J].数学研究及应用,2022(06):637-652
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0.543573
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