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Optimization
A Journal of Mathematical Programming and Operations Research
Volume 52, 2003 - Issue 3
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Original Articles

Weak Subdifferential of Set-Valued Mappings

Wen Song Department of Mathematics, Harbin Normal University, Harbin, 150080, China
Pages 263-276 | Published online: 27 Oct 2010

Citations (13)

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Le Anh Tuan. (2010) ε-Optimality Conditions for Vector Optimization Problems with Set-Valued Maps. Numerical Functional Analysis and Optimization 31:1, pages 78-95.
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Articles from other publishers (12)

Na Mi, Juhe Sun, Li Wang & Yu Liu. (2023) Alternating direction method for the fixed point problem of set-valued mappings with second-order cone double constraints. AIMS Mathematics 8:3, pages 6389-6406.
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Yuwen Zhai, Qilin Wang & Tian Tang. (2022) Optimality Conditions and Dualities for Robust Efficient Solutions of Uncertain Set-Valued Optimization with Set-Order Relations. Axioms 11:11, pages 648.
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Mansi Dhingra. (2019) Henig proper subdifferential of set-valued maps. OPSEARCH 56:3, pages 790-805.
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Akhtar A. Khan, Christiane Tammer & Constantin ZălinescuAkhtar A. Khan, Christiane Tammer & Constantin Zălinescu. 2015. Set-valued Optimization. Set-valued Optimization 509 604 .
X. J. Long, J. W. Peng & X. B. Li. (2013) Weak Subdifferentials for Set-Valued Mappings. Journal of Optimization Theory and Applications 162:1, pages 1-12.
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X. L. Guo, C. J. Zhao & Z. W. Li. (2013) On generalized $$\epsilon $$ ϵ -subdifferential and radial epiderivative of set-valued mappings. Optimization Letters 8:5, pages 1707-1720.
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X. L. Guo, S. J. Li & K. L. Teo. (2011) Subdifferential and optimality conditions for the difference of set-valued mappings. Positivity 16:2, pages 321-337.
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Shengjie Li & Xiaole Guo. (2012) Calculus rules of generalized $\epsilon-$subdifferential for vector valued mappings and applications. Journal of Industrial and Management Optimization 8:2, pages 411-427.
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Elvira Hernández & Luis Rodríguez-Marín. (2011) Weak and Strong Subgradients of Set-Valued Maps. Journal of Optimization Theory and Applications 149:2, pages 352-365.
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Gue Myung Lee & Le Anh Tuan. (2009) On $\epsilon$-OPTIMALITY CONDITIONS FOR CONVEX SET-VALUED OPTIMIZATION PROBLEMS. Taiwanese Journal of Mathematics 13:6A.
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S.J. Li & X.L. Guo. (2009) Weak subdifferential for set-valued mappings and its applications. Nonlinear Analysis: Theory, Methods & Applications 71:11, pages 5781-5789.
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G. Isac & A. A. Khan. (2008) Dubovitskii–Milyutin Approach in Set-Valued Optimization. SIAM Journal on Control and Optimization 47:1, pages 144-162.
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