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Applicable Analysis
An International Journal
Volume 94, 2015 - Issue 1: Variational Analysis, Optimization and Optimal Control. Guest editors: Der-Chen Chang, Robert P. Gilbert, Yongzhi Steve Xu and Jen-Chih Yao
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Articles

Differential stability of convex optimization problems under inclusion constraints

D.T.V. AnDepartment of Mathematics and Informatics, College of Sciences, Thai Nguyen University, Thai Nguyen City, Vietnam.
&
N.D. YenInstitute of Mathematics, Vietnam Academy of Science and Technology, 18 Hoang Quoc Viet, Hanoi10307, Vietnam.Correspondence[email protected]
Pages 108-128 | Received 31 Oct 2013, Accepted 26 Jan 2014, Published online: 14 Mar 2014

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Read on this site (6)

Elimhan N. Mahmudov. (2023) Optimal control of differential inclusions with endpoint constraints and duality. Applicable Analysis 102:17, pages 4717-4732.
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Vu Thi Huong & Hong-Kun Xu. (2023) New formulas for subdifferentials of perturbed distance functions. Optimization 0:0, pages 1-17.
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N. T. Toan. (2022) Differential stability of convex discrete optimal control problems with possibly empty solution sets. Optimization 71:7, pages 1839-1862.
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N. T. Toan & L. Q. Thuy. (2021) Subgradients of the Value Function via Multiplier Sets of Parametric Convex Discrete Optimal Control Problems. Numerical Functional Analysis and Optimization 42:7, pages 785-808.
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Duong Thi Viet An, Markus A. Köbis & Nguyen Van Tuyen. (2020) Differential stability of convex optimization problems under weaker conditions. Optimization 69:2, pages 385-399.
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Duong Thi Viet An, Dang Thi Ngoan & Nguyen Van Tuyen. Optimality conditions and sensitivity analysis in parametric convex minimax programming. Applicable Analysis 0:0, pages 1-20.
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Articles from other publishers (17)

D. T. V. An, N. H. Hung, D. T. Ngoan & N. V. Tuyen. (2024) Optimality conditions and sensitivity analysis in parametric nonconvex minimax programming. Journal of Global Optimization.
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Nguyen Thi Toan & Le Quang Thuy. (2024) Differential Stability Properties of Convex Optimization and Optimal Control Problems. Journal of Optimization Theory and Applications.
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Vu Thi Huong, Duong Thi Viet An & Hong-Kun Xu. (2023) Subdifferentials of optimal value functions under metric qualification conditions. Journal of Global Optimization 88:1, pages 253-283.
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D. T. V. An, V. T. Huong & H. K. Xu. (2022) Differential Stability of Discrete Optimal Control Problems with Possibly Nondifferentiable Costs. Applied Mathematics & Optimization 86:3.
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Nguyen Ngoc Luan, Do Sang Kim & Nguyen Dong Yen. (2021) Two Optimal Value Functions in Parametric Conic Linear Programming. Journal of Optimization Theory and Applications 193:1-3, pages 574-597.
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Duong Thi Viet An & Abderrahim Jourani. (2021) Subdifferentials of the Marginal Functions in Parametric Convex Optimization via Intersection Formulas. Journal of Optimization Theory and Applications 192:1, pages 82-96.
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Elimhan N. Mahmudov. (2021) Optimization of Higher-Order Differential Inclusions with Special Boundary Value Conditions. Journal of Optimization Theory and Applications 192:1, pages 36-55.
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D. T. V. An & C. Gutiérrez. (2021) Differential stability properties in convex scalar and vector optimization. Set-Valued and Variational Analysis 29:4, pages 893-914.
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D. T. V. An, J.-C. Yao & N. D. Yen. (2018) Differential Stability of a Class of Convex Optimal Control Problems. Applied Mathematics & Optimization 81:1, pages 1-22.
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Nguyen Thanh Qui & Daniel Wachsmuth. (2020) Subgradients of Marginal Functions in Parametric Control Problems of Partial Differential Equations. SIAM Journal on Optimization 30:2, pages 1724-1755.
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Duong Thi Viet An & Jen-Chih Yao. (2018) Differential Stability of Convex Optimization Problems with Possibly Empty Solution Sets. Journal of Optimization Theory and Applications 181:1, pages 126-143.
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Duong Thi Viet An & Nguyen Dong Yen. (2018) Subdifferential Stability Analysis for Convex Optimization Problems via Multiplier Sets. Vietnam Journal of Mathematics 46:2, pages 365-379.
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Boris S. MordukhovichBoris S. Mordukhovich. 2018. Variational Analysis and Applications. Variational Analysis and Applications 161 190 .
B. S. Mordukhovich, N. M. Nam, R. B. Rector & T. Tran. (2017) Variational Geometric Approach to Generalized Differential and Conjugate Calculi in Convex Analysis. Set-Valued and Variational Analysis 25:4, pages 731-755.
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Duong Thi Viet An & Nguyen Thi Toan. (2017) Differential Stability of Convex Discrete Optimal Control Problems. Acta Mathematica Vietnamica.
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Le Quang Thuy & Nguyen Thi Toan. (2016) Subgradients of the Value Function in a Parametric Convex Optimal Control Problem. Journal of Optimization Theory and Applications 170:1, pages 43-64.
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Duong Thi Viet An & Jen-Chih Yao. (2016) Further Results on Differential Stability of Convex Optimization Problems. Journal of Optimization Theory and Applications 170:1, pages 28-42.
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