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Numerical Functional Analysis and Optimization Volume 35, 2014 - Issue 1
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Original Articles

Higher-Order Efficiency Conditions Via Higher-Order Tangent Cones

Do Van Luu Institute of Mathematics, Vietnam Academy of Science and Technology, Hanoi, VietnamCorrespondence[email protected]
Pages 68-84 | Received 14 Nov 2012, Accepted 25 May 2013, Published online: 09 Dec 2013

Citations (10)

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Read on this site (3)

Tran Van Su & Do Van Luu. (2022) Higher-order efficiency conditions for constrained vector equilibrium problems. Optimization 71:9, pages 2613-2642.
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Tran Van Su & Do Van Luu. (2022) Higher-order Karush–Kuhn–Tucker optimality conditions for Borwein properly efficient solutions of multiobjective semi-infinite programming. Optimization 71:6, pages 1749-1775.
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Tran Van Su & Nguyen Duc Hien. (2021) Studniarski's derivatives and efficiency conditions for constrained vector equilibrium problems with applications. Optimization 70:1, pages 121-148.
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Articles from other publishers (7)

Nguyen Xuan Duy Bao, Phan Quoc Khanh & Nguyen Minh Tung. (2022) Quasi-contingent derivatives and studies of higher-orders in nonsmooth optimization. Journal of Global Optimization 84:1, pages 205-228.
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Tran Van Su. (2021) Higher-Order Efficiency Conditions for Continuously Directional Differentiable Vector Equilibrium Problem with Constraints. Bulletin of the Iranian Mathematical Society 48:4, pages 1805-1828.
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Tran Thien Khai, Nguyen Le Hoang Anh & Nguyen Manh Truong Giang. (2021) Higher-order tangent epiderivatives and applications to duality in set-valued optimization. Positivity 25:5, pages 1699-1720.
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Tran Van Su & Dinh Dieu Hang. (2020) Second-Order Necessary and Sufficient Optimality Conditions for Constrained Vector Equilibrium Problem with Applications. Bulletin of the Iranian Mathematical Society 47:5, pages 1337-1362.
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Tran Van Su. (2019) New Second-Order Optimality Conditions for Vector Equilibrium Problems with Constraints in Terms of Contingent Derivatives. Bulletin of the Brazilian Mathematical Society, New Series 51:2, pages 371-395.
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Do Van Luu. (2017) Second-order necessary efficiency conditions for nonsmooth vector equilibrium problems. Journal of Global Optimization 70:2, pages 437-453.
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Jean-Paul Penot. (2017) Higher-Order Optimality Conditions and Higher-Order Tangent Sets. SIAM Journal on Optimization 27:4, pages 2508-2527.
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