Painlevé–Kuratowski Stability of Approximate Solution Sets for Perturbed Set Optimization Problems Under General Ordering Sets by Recession Cone-Reference-Cited by-同舟云学术

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Painlevé–Kuratowski Stability of Approximate Solution Sets for Perturbed Set Optimization Problems Under General Ordering Sets by Recession Cone

Published:2024-05-20 Issue:3 Volume:28 Page:
ISSN:1027-5487
Container-title:Taiwanese Journal of Mathematics
language:
Short-container-title:Taiwanese J. Math.

Author:

Peng Zai-Yun¹,Shao Chong-Yang²,Zeng Yue³,Xiao Yi-Bin⁴

Affiliation:

1. College of Mathematics and Statistics, Chongqing Jiaotong University, China

2. College of Mathematical Sciences, University of Electronic Science and Technology of China, China, and College of Mathematics and Statistics, Chongqing Jiaotong University, China

3. College of Mathematics and Statistics, Chongqing Jiaotong University, China, and College of Mathematics, Sichuan University, China

4. College of Mathematical Sciences, University of Electronic Science and Technology of China, China

Publisher

The Mathematical Society of the Republic of China

Reference45 articles.

1. R. T. Rockafellar, Convex Analysis, Princeton Math. Ser. 28, Princeton University Press, Princeton, NJ, 1970.

2. A. Göpfert, H. Riahi, C. Tammer and C. Zălinescu, Variational Methods in Partially Ordered Spaces, Springer-Verlag, New York, 2003.

3. D. Gale, The law of supply and demand, Math. Scand. 3 (1955), 155–169.

4. M. Durea, R. Strugariu and C. Tammer, On set-valued optimization problems with variable ordering structure, J. Global Optim. 61 (2015), no. 4, 745–767.

5. G. Giorgi, A. Guerraggio and J. Thierfelder, Mathematics of Optimization: Smooth and Nonsmooth Case, Elsevier Science B.V., Amsterdam, 2004.

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