Stability results for properly quasi convex vector optimization problems

作者：Li, X. B.^*; Wang, Q. L.; Lin, Z.

来源：Optimization, 2015, 64(5): 1329-1347.

DOI：10.1080/02331934.2013.860529

• stability analysis
• vector optimization problems
• efficiency
• Painleve-Kuratowski convergence
• proper quasi convexity
• 90C31
• 90C29
• 49K40

In this paper, we discuss the stability of the sets of (weak) minimal points and (weak) efficient points of vector optimization problems. Assuming that the objective functions are (strictly) properly quasi convex, and the data ofthe approximate problems converges to the data of the original problems in the sense of Painleve-Kuratowski, we establish the Painleve-Kuratowski set convergence of the sets of (weak) minimal points and (weak) efficient points of the approximate problems to the corresponding ones of original problem. Our main results improve and extend the results of the recent papers.

• 出版日期2015-5-4
• 单位重庆大学; 重庆交通大学