On the stability of solutions for semi-infinite vector optimization problems

Zai-Yun Peng (), Jian-Wen Peng (), Xian-Jun Long () and Jen-Chih Yao ()
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Zai-Yun Peng: Chongqing JiaoTong University
Jian-Wen Peng: Chongqing Normal University
Xian-Jun Long: Chongqing Technology and Business University
Jen-Chih Yao: China Medical University

Journal of Global Optimization, 2018, vol. 70, issue 1, No 4, 55-69

Abstract: Abstract This paper is concerned with the stability of semi-infinite vector optimization problems (SVO). Under weak assumptions, we establish sufficient conditions of the Berge-lower semicontinuity and lower Painlev $$\acute{e}$$ e ´ –Kuratowski convergence of weak efficient solutions for (SVO) under functional perturbations of both objective functions and constraint sets. Some examples are given to illustrate that our results are new and interesting.

Keywords: Stability; Semi-infinite vector optimization; Weak efficient solution; Berge-lower semicontinuous; Lower Painlev $$\acute{e}$$ e ´ –Kuratowski convergence; Functional perturbation; 49K40; 90C29; 90C31 (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (3)

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DOI: 10.1007/s10898-017-0553-6

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