The connectedness of the solutions set for generalized vector equilibrium problems

Han Yu; Huang Nan-jing

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The connectedness of the solutions set for generalized vector equilibrium problems

机译：广义矢量平衡问题解集的连通性

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摘要

In this paper, we establish the connectedness of the sets of Henig efficient solutions, globally efficient solutions, weak efficient solutions, superefficient solutions and efficient solutions for a class of generalized vector equilibrium problems without the assumptions of monotonicity and compactness.

机译：在本文中，我们为一类广义矢量平衡问题建立了Henig高效解，全局高效解，弱高效解，超高效解和高效解的集合的连通性，而没有单调性和紧致性的假设。

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《Optimization: A Journal of Mathematical Programming and Operations Research》 |2016年第3期|共11页
作者
Han Yu; Huang Nan-jing;
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正文语种 eng
中图分类最优化的数学理论;
关键词
generalized vector equilibrium problem; efficient solution; connectedness; 49J40; 47J20;

机译：广义矢量平衡问题有效解连通性49J40 47J20;

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专利

1. The connectedness of the solutions set for generalized vector equilibrium problems [J] . Han Yu, Huang Nan-jing Optimization: A Journal of Mathematical Programming and Operations Research . 2016,第1a3期

机译：广义矢量平衡问题解集的连通性
2. Connectedness of the sets of weak efficient solutions for generalized vector equilibrium problems [J] . Nan-jing Huang, Qing-You Liu, Xian-Jun Long Mathematica Slovaca . 2011,第1期

机译：广义矢量平衡问题的弱有效解集的连通性
3. The connectedness of the solutions set for set-valued vector equilibrium problems under improvement sets [J] . Hongwei Liang, Zhongping Wan, Litao Zhang Journal of inequalities and applications . 2020,第a期

机译：改进集下设定值的解决方案的连通性
4. Existence of Solutions to Generalized Vector Quasi-equilibrium Problems with Set-Valued Mappings [C] . Yali Zhao, Hong Lu, Chao Wang International Conference on Artificial Intelligence: Technologies and Applications . 2016

机译：集针测量映射的广义载体准平衡问题的解决方案存在
5. Direct numerical solution of the three-dimensional generalized Boltzmann equation for hypersonic non-equilibrium flows. [D] . Wilson, Christopher Daniel. 2010

机译：高超声速非平衡流的三维广义玻尔兹曼方程的直接数值解。
6. A characterization of nonemptiness and boundedness of the solution set for set-valued vector equilibrium problems via scalarization and stability results [O] . Pakkapon Preechasilp, Rabian Wangkeeree -1

机译：通过标量和稳定性结果刻画集值向量平衡问题解集的非空性和有界性
7. The connectedness of the solutions set for set-valued vector equilibrium problems under improvement sets [O] . Hongwei Liang, Zhongping Wan, Litao Zhang 2020

机译：改进集下设定值的解决方案的连通性

The connectedness of the solutions set for generalized vector equilibrium problems

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