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Applicable Analysis
An International Journal
Volume 91, 2012 - Issue 10: Variational Inequalities, Optimization and Related Topics
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Original Articles

Steepest descent methods for critical points in vector optimization problems

Thai Doan Chuong Department of Mathematics and Applications, Saigon University, 273 An Duong Vuong Street, Ward 3, District 5, Hochiminh City, Vietnam
&
Jen-Chih Yao Center for General Education, Kaohsiung Medical University, Kaohsiung 807, TaiwanCorrespondence[email protected]
Pages 1811-1829 | Received 16 Apr 2011, Accepted 09 Nov 2011, Published online: 19 Jan 2012

Citations (12)

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Read on this site (2)

Md.A.T. Ansary & G. Panda. (2015) A modified Quasi-Newton method for vector optimization problem. Optimization 64:11, pages 2289-2306.
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Fang Lu & Chun-Rong Chen. (2014) Newton-like methods for solving vector optimization problems. Applicable Analysis 93:8, pages 1567-1586.
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Articles from other publishers (10)

Wang Chen, Xinmin Yang & Yong Zhao. (2023) Conditional gradient method for vector optimization. Computational Optimization and Applications 85:3, pages 857-896.
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M.L.N. Gonçalves, F.S. Lima & L.F. Prudente. (2022) A study of Liu-Storey conjugate gradient methods for vector optimization. Applied Mathematics and Computation 425, pages 127099.
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Gemayqzel Bouza, Ernest Quintana & Christiane Tammer. (2021) A Steepest Descent Method for Set Optimization Problems with Set-Valued Mappings of Finite Cardinality. Journal of Optimization Theory and Applications 190:3, pages 711-743.
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M. L. N. Gonçalves & L. F. Prudente. (2019) On the extension of the Hager–Zhang conjugate gradient method for vector optimization. Computational Optimization and Applications 76:3, pages 889-916.
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L. R. Lucambio Pérez & L. F. Prudente. (2019) A Wolfe Line Search Algorithm for Vector Optimization. ACM Transactions on Mathematical Software 45:4, pages 1-23.
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Fang Yan, Chao Jin, Zijun Li, Rihong Cao & Kaili Xu. (2019) Research and development of field theory-based three-dimensional risk assessment. Part I: Optimization of risk reduction. Safety Science 120, pages 312-322.
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L. R. Lucambio Pérez & L. F. Prudente. (2018) Nonlinear Conjugate Gradient Methods for Vector Optimization. SIAM Journal on Optimization 28:3, pages 2690-2720.
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Margaret M. Wiecek, Matthias Ehrgott & Alexander Engau. 2016. Multiple Criteria Decision Analysis. Multiple Criteria Decision Analysis 739 815 .
Thai Doan Chuong. (2012) Newton-like methods for efficient solutions in vector optimization. Computational Optimization and Applications 54:3, pages 495-516.
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Thai Doan Chuong & Jen-Chih Yao. (2010) Viscosity-type Approximation Method for Efficient Solutions in Vector Optimization. Taiwanese Journal of Mathematics 14:6.
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