Stability of Set-Valued Optimization Problems with Naturally Quasi-Functions

Xiao-Bing Li (), Qi-Lin Wang and Zhi Lin
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Xiao-Bing Li: Chongqing Jiaotong University
Qi-Lin Wang: Chongqing Jiaotong University
Zhi Lin: Chongqing Jiaotong University

Journal of Optimization Theory and Applications, 2016, vol. 168, issue 3, No 7, 850-863

Abstract: Abstract In this paper, we discuss the stability of three kinds of minimal point sets and three kinds of minimizer sets of naturally quasi-functional set-valued optimization problems when the data of the approximate problems converges to the data of the original problems in the sense of Painlevé–Kuratowski. Our main results improve and extend the results of the recent papers.

Keywords: Set-valued optimization problems; Stability analysis; Painlevé–Kuratowski convergence; Natural quasi-functions; Minimal point sets; Minimizer sets; 49K40; 90C29; 90C31 (search for similar items in EconPapers)
Date: 2016
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DOI: 10.1007/s10957-015-0802-0

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