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Applicable Analysis
An International Journal
Volume 97, 2018 - Issue 14
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Stability of minimal solutions to parametric set optimization problems

S. Khoshkhabar-amiranlooSchool of Mathematics, Institute for Research in Fundamental Sciences (IPM), Tehran, Iran.Correspondence[email protected]
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Pages 2510-2522 | Received 17 May 2017, Accepted 03 Sep 2017, Published online: 15 Sep 2017

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Read on this site (4)

Yu Han & Kai Zhang. (2023) Semicontinuity of the minimal solution mappings to parametric set optimization problems on Banach lattices. Optimization 72:8, pages 1961-1993.
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Yu Han & Sheng-Jie Li. (2023) Stability of the approximate solution sets for set optimization problems with the perturbations of feasible set and objective mapping. Optimization 0:0, pages 1-31.
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Yu Han. (2022) Painlevé–Kuratowski convergences of the solution sets for set optimization problems with cone-quasiconnectedness. Optimization 71:7, pages 2185-2208.
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Chuang-liang Zhang & Nan-jing Huang. (2021) On the stability of minimal solutions for parametric set optimization problems. Applicable Analysis 100:7, pages 1533-1543.
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Articles from other publishers (13)

Lam Quoc Anh, Pham Thanh Duoc & Ha Manh Linh. (2024) Scalar representations and Hausdorff continuity of solution mappings to parametric set optimization problems via set less order relations. Operations Research Letters 53, pages 107071.
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Lam Quoc Anh, Nguyen Huu Danh & Pham Thanh Duoc. (2024) Hausdorff continuity of solution maps to equilibrium problems via the oriented distance function. Optimization Letters.
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Zai-Yun Peng, Xue-Jing Chen, Yun-Bin Zhao & Xiao-Bing Li. (2022) Painlevé-Kuratowski convergence of minimal solutions for set-valued optimization problems via improvement sets. Journal of Global Optimization 87:2-4, pages 759-781.
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S. Khoshkhabar-amiranloo. (2022) Approximate Weak Minimal Solutions of Set-Valued Optimization Problems. Journal of the Operations Research Society of China 11:3, pages 673-692.
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Chuang-liang Zhang, Nan-jing Huang & Donal O'Regan. (2023) Stability of solutions for fuzzy set optimization problems with applications. Fuzzy Sets and Systems 466, pages 108470.
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Wenqing Wang & Yihong Xu. (2023) A note on “Levitin–Polyak well-posedness in set optimization concerning Pareto efficiency” [Positivity.25(2021), 1923–1942]. Positivity 27:3.
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Taiyong Li & Yanhui Wei. (2023) The stability of minimal solution sets for set optimization problems via improvement sets. Journal of Inequalities and Applications 2023:1.
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Chuang-liang Zhang & Nan-jing Huang. (2021) Well-posedness and stability in set optimization with applications. Positivity 25:3, pages 1153-1173.
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Xin Xu, Yang-Dong Xu & Yue-Ming Sun. (2019) Semicontinuity of the Minimal Solution Set Mappings for Parametric Set-Valued Vector Optimization Problems. Journal of the Operations Research Society of China 9:2, pages 441-454.
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L. Q. Anh, T. Q. Duy & D. V. Hien. (2020) Stability of efficient solutions to set optimization problems. Journal of Global Optimization 78:3, pages 563-580.
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Lam Quoc Anh, Tran Quoc Duy, Dinh Vinh Hien, Daishi Kuroiwa & Narin Petrot. (2020) Convergence of Solutions to Set Optimization Problems with the Set Less Order Relation. Journal of Optimization Theory and Applications 185:2, pages 416-432.
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Yu Han, Kai Zhang & Nan-jing Huang. (2019) The stability and extended well-posedness of the solution sets for set optimization problems via the Painlevé–Kuratowski convergence. Mathematical Methods of Operations Research 91:1, pages 175-196.
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S. Khoshkhabar-amiranloo. (2018) Characterizations of generalized Levitin–Polyak well-posed set optimization problems. Optimization Letters 13:1, pages 147-161.
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