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Optimization
A Journal of Mathematical Programming and Operations Research
Volume 68, 2019 - Issue 4
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Articles

External and internal stability in set optimization

KarunaDepartment of Mathematics, University of Delhi, Delhi, IndiaCorrespondence[email protected]
ORCID Iconhttp://orcid.org/0000-0002-3498-6029View further author information
ORCID Icon &
C. S. LalithaDepartment of Mathematics, University of Delhi South Campus, New Delhi, IndiaView further author information
Pages 833-852 | Received 10 Feb 2018, Accepted 23 Nov 2018, Published online: 20 Dec 2018

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Read on this site (6)

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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Karuna & C. S. Lalitha. (2022) Essential stability in set optimization. Optimization 71:7, pages 1803-1816.
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E. Hernández & R. López. (2022) On epi-convergence for set-valued maps. Optimization 71:2, pages 403-417.
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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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Meenakshi Gupta & Manjari Srivastava. (2024) Hadamard well-posedness and stability in set optimization. Positivity 28:1.
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Zai-Yun Peng, Chong-Yang Shao, Yue Zeng & Yi-Bin Xiao. (2024) Painlevé–Kuratowski Stability of Approximate Solution Sets for Perturbed Set Optimization Problems Under General Ordering Sets by Recession Cone. Taiwanese Journal of Mathematics -1:-1.
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Thái Anh Nguyễn, Thanh Dược Phạm & Thị Ngọc Tuyết Nguyễn. (2023) Tính liên thông của tập nghiệm hữu hiệu yếu cho bài toán tối ưu tập không lồi. Can Tho University Journal of Science 59:Education in the Mekong Delta, pages 8-15.
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Karuna & C. S. Lalitha. (2022) Convergence, Scalarization and Continuity of Minimal Solutions in Set Optimization. Journal of the Operations Research Society of China.
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Elvira Hernández & Rubén López. (2022) Stability in Set-Valued Optimization Problems Using Asymptotic Analysis and Epi-Convergence. Applied Mathematics & Optimization 86:1.
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Khushboo & C.S. Lalitha. (2021) Scalarization and convergence in unified set optimization. RAIRO - Operations Research 55:6, pages 3603-3616.
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Meenakshi Gupta & Manjari Srivastava. (2021) On Levitin–Polyak well-posedness and stability in set optimization. Positivity 25:5, pages 1903-1921.
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Yu Han. (2020) Connectedness of weak minimal solution set for set optimization problems. Operations Research Letters 48:6, pages 820-826.
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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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Meenakshi Gupta & Manjari Srivastava. (2020) Approximate Solutions and Levitin–Polyak Well-Posedness for Set Optimization Using Weak Efficiency. Journal of Optimization Theory and Applications 186:1, pages 191-208.
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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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