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Original Articles

Regularity Conditions and Optimality in Vector Optimization

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Pages 479-501 | Published online: 31 Aug 2006

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Read on this site (6)

Elena Constantin. (2018) First-order necessary conditions in locally Lipschitz multiobjective optimization. Optimization 67:9, pages 1447-1460.
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Do Van Luu. (2014) Higher-Order Efficiency Conditions Via Higher-Order Tangent Cones. Numerical Functional Analysis and Optimization 35:1, pages 68-84.
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Do Van Luu & Nguyen Manh Hung. (2009) On alternative theorems and necessary conditions for efficiency. Optimization 58:1, pages 49-62.
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Anjana Gupta, Davinder Bhatia & Aparna Mehra. (2007) Higher Order Efficiency, Saddle Point Optimality, and Duality for Vector Optimization Problems. Numerical Functional Analysis and Optimization 28:3-4, pages 339-352.
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Articles from other publishers (18)

Elena Constantin. (2021) Necessary conditions for weak minima and for strict minima of order two in nonsmooth constrained multiobjective optimization. Journal of Global Optimization 80:1, pages 177-193.
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Poonam Kesarwani & Joydeep Dutta. (2019) Charnes–Cooper scalarization and convex vector optimization. Optimization Letters 15:3, pages 833-846.
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Gabriel Haeser & Alberto Ramos. (2020) Constraint Qualifications for Karush–Kuhn–Tucker Conditions in Multiobjective Optimization. Journal of Optimization Theory and Applications 187:2, pages 469-487.
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Elena Constantin. (2020) Second-Order Optimality Conditions in Locally Lipschitz Inequality-Constrained Multiobjective Optimization. Journal of Optimization Theory and Applications 186:1, pages 50-67.
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Elena Constantin. (2019) Necessary conditions for weak efficiency for nonsmooth degenerate multiobjective optimization problems. Journal of Global Optimization 75:1, pages 111-129.
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Do Sang Kim & Ta Quang Son. (2018) An Approach to $\epsilon$-duality Theorems for Nonconvex Semi-infinite Multiobjective Optimization Problems. Taiwanese Journal of Mathematics 22:5.
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Le Thanh Tung. (2018) Strong Karush–Kuhn–Tucker optimality conditions for multiobjective semi-infinite programming via tangential subdifferential . RAIRO - Operations Research 52:4-5, pages 1019-1041.
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Triloki Nath & S.R. Singh. (2015) Boundedness of certain sets of Lagrange multipliers in vector optimization. Applied Mathematics and Computation 271, pages 429-435.
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Regina S. Burachik & M. M. Rizvi. (2014) Proper Efficiency and Proper Karush–Kuhn–Tucker Conditions for Smooth Multiobjective Optimization Problems. Vietnam Journal of Mathematics 42:4, pages 521-531.
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Thai Doan Chuong & Do Sang Kim. (2014) Optimality conditions and duality in nonsmooth multiobjective optimization problems. Annals of Operations Research 217:1, pages 117-136.
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Kwan Deok Bae & Do Sang Kim. (2013) Optimality and duality for nonsmooth multiobjective optimization problems. Journal of Inequalities and Applications 2013:1.
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Xianjun Long. (2013) Sufficiency and duality for nonsmooth multiobjective programming problems involving generalized univex functions. Journal of Systems Science and Complexity 26:6, pages 1002-1018.
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Regina S. Burachik & M. M. Rizvi. (2012) On Weak and Strong Kuhn–Tucker Conditions for Smooth Multiobjective Optimization. Journal of Optimization Theory and Applications 155:2, pages 477-491.
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Kwan Deok Bae & Do Sang Kim. (2011) Optimality and Duality Theorems in Nonsmooth Multiobjective Optimization. Fixed Point Theory and Applications 2011:1.
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Guolin Yu. (2010) Sufficiency and Duality in Nonsmooth Multiobjective Programming with Generalized Dini Convextiy. Sufficiency and Duality in Nonsmooth Multiobjective Programming with Generalized Dini Convextiy.
Guneet Bhatia. (2008) Optimality and mixed saddle point criteria in multiobjective optimization. Journal of Mathematical Analysis and Applications 342:1, pages 135-145.
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Joydeep Dutta & Christiane Tammer. (2006) Lagrangian conditions for vector optimization in Banach spaces. Mathematical Methods of Operations Research 64:3, pages 521-540.
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Joydeep Dutta & C. S. Lalitha. (2006) Bounded sets of KKT multipliers in vector optimization. Journal of Global Optimization 36:3, pages 425-437.
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