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Original Articles

Characterizations of set order relations and constrained set optimization problems via oriented distance function

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Pages 1741-1754 | Received 15 Mar 2016, Accepted 16 Apr 2017, Published online: 02 May 2017

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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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Truong Xuan Duc Ha. (2019) A new concept of slope for set-valued maps and applications in set optimization studied with Kuroiwa’s set approach. Mathematical Methods of Operations Research 91:1, pages 137-158.
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B. Jiménez, V. Novo & A. Vílchez. (2019) Characterization of set relations through extensions of the oriented distance. Mathematical Methods of Operations Research 91:1, pages 89-115.
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Khushboo & C. S. Lalitha. (2019) Scalarizations for a set optimization problem using generalized oriented distance function. Positivity 23:5, pages 1195-1213.
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Tijani Amahroq & Abdessamad Oussarhan. (2019) Lagrange Multiplier Rules for Weakly Minimal Solutions of Compact-Valued Set Optimization Problems. Asia-Pacific Journal of Operational Research 36:04, pages 1950021.
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Pham Thi Vui, Lam Quoc Anh & Rabian Wangkeeree. (2018) Levitin–Polyak well-posedness for set optimization problems involving set order relations. Positivity 23:3, pages 599-616.
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Qamrul Hasan Ansari, Elisabeth Köbis & Pradeep Kumar Sharma. (2019) Characterizations of Multiobjective Robustness via Oriented Distance Function and Image Space Analysis. Journal of Optimization Theory and Applications 181:3, pages 817-839.
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Yu Han, San-hua Wang & Nan-jing Huang. (2019) Arcwise connectedness of the solution sets for set optimization problems. Operations Research Letters 47:3, pages 168-172.
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Honglin Luo, Xianfu Wang & Brett Lukens. (2018) Variational Analysis on the Signed Distance Functions. Journal of Optimization Theory and Applications 180:3, pages 751-774.
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