SUFFICIENT OPTIMALITY CONDITIONS FOR GLOBAL PARETO SOLUTIONS TO MULTIOBJECTIVE PROBLEMS WITH EQUILIBRIUM CONSTRAINTS

TRUONG Q. BAO; BORIS S. MORDUKHOVICH

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SUFFICIENT OPTIMALITY CONDITIONS FOR GLOBAL PARETO SOLUTIONS TO MULTIOBJECTIVE PROBLEMS WITH EQUILIBRIUM CONSTRAINTS

机译：带有均衡约束的多目标问题的全局Pareto解的充分优化条件

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摘要

We present new sufficient conditions for Pareto optimal solutions to constrained multiobjective problems with and without equilibrium constraints. They are derived by using advanced tools and techniques of variational analysis and generalized differentiation.

机译：我们为有和没有平衡约束的约束多目标问题的帕累托最优解提供了新的充分条件。它们是使用先进的工具和变异分析和广义区分技术得出的。

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《Journal of nonlinear and convex analysis》 |2014年第1期|共23页
作者
TRUONG Q. BAO; BORIS S. MORDUKHOVICH;
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正文语种 eng
中图分类数学;
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Multiobjective optimization; equilibrium constraints; coderivatives and subdifferentials of set-valued mappings; sufficient optimality conditions; Pareto efficiency;

机译：多目标优化;平衡约束;集值映射的代码导数和次微分;充分的最优性条件;帕累托效率;

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专利

1. SUFFICIENT OPTIMALITY CONDITIONS FOR GLOBAL PARETO SOLUTIONS TO MULTIOBJECTIVE PROBLEMS WITH EQUILIBRIUM CONSTRAINTS [J] . TRUONG Q. BAO, BORIS S. MORDUKHOVICH Journal of nonlinear and convex analysis . 2014,第1期

机译：带有均衡约束的多目标问题的全局Pareto解的充分优化条件
2. On strong KKT type sufficient optimality conditions for nonsmooth multiobjective semi-infinite mathematical programming problems with equilibrium constraints [J] . Pandey Yogendra, Mishra S. K. Operations Research Letters: A Journal of the Operations Research Society of America . 2016,第1期

机译：在强KKT型上，具有平衡约束的非光滑多目标半无限数学规划问题的充分最优条件
3. Sufficient conditions for global weak Pareto solutions in multiobjective optimization [J] . Truong Q. Bao, Boris S. Mordukhovich Positivity . 2012,第3期

机译：多目标优化中全局弱Pareto解的充分条件
4. Several Optimality Sufficient Conditions of Composite Multiobjective Programming [C] . Gao Leifu, Hou Feifei Proceedings of the First International Conference on Networking and Distributed Computing . 2010

机译：复合多目标规划的几个最优充分条件
5. Sufficient Conditions for Optimal Control Problems with Terminal Constraints and Free Terminal Times with Applications to Aerospace [D] . Bhan, Sankalp Kishan 2019

机译：具有终端约束和自由终端时间的最优控制问题的充分条件及其在航空航天中的应用
6. On strong KKT type sufficient optimality conditions for multiobjective semi-infinite programming problems with vanishing constraints [O] . Sy-Ming Guu, Yadvendra Singh, Shashi Kant Mishra -1

机译：在强KKT型上具有消失的多目标半无限规划问题的充分最优条件
7. On strong KKT type sufficient optimality conditions for multiobjective semi-infinite programming problems with vanishing constraints [O] . Sy-Ming Guu, Yadvendra Singh, Shashi Kant Mishra 2017

机译：关于具有消失约束的多目标半无限规划问题的强KKT型充分最优性条件
8. Necessary and Sufficient Conditions for a Pareto-Optimum in Convex Programming. [R] . ben-israel, a. ben-tal, a. 1976

机译：凸规划中pareto最优的充要条件。

SUFFICIENT OPTIMALITY CONDITIONS FOR GLOBAL PARETO SOLUTIONS TO MULTIOBJECTIVE PROBLEMS WITH EQUILIBRIUM CONSTRAINTS

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