| 强向量均衡问题的适定性 |
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| 引用本文： | 龚循华,邬建军.强向量均衡问题的适定性[J].南昌大学学报(理科版),2011,35(3):1. |
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| 作者姓名： | 龚循华 邬建军 |
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| 作者单位： | 南昌大学数学系； |
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| 基金项目： | 国家自然科学基金资助项目(11061023); 江西自然科学基金资助项目(2009GZS0022) |
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| 摘 要： | 研究赋范线性空间中强向量均衡问题的适定性。在一定条件下,给出了强向量均衡问题的唯一适定性和适定性的充分必要条件。当映射关于两个分量分别具有某些不同性质时,强向量均衡问题唯一适定性和适定性的充分条件。讨论了强向量均衡问题与数值优化问题适定性之间的关系,给出强向
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| 关 键 词： | 强向量均衡问题 优化问题 适定性 |
Well-posedness for Strong Vector Equilibrium Problems |
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| GONG Xun-hua,WU Jian-Jun.Well-posedness for Strong Vector Equilibrium Problems[J].Journal of Nanchang University(Natural Science),2011,35(3):1. |
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| Authors: | GONG Xun-hua WU Jian-Jun |
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| Institution: | GONG Xun-hua,WU Jian-Jun(Department of Mathematics,Nanchang University,Nanchang 330031,China) |
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| Abstract: | The paper studied well-posedness of the strong vector equilibrium problems in normed Spaces.Under certain conditions,the necessary and sufficient conditions of the unique well-posedness and well-posedness were derived.Furthermule,the sufficient conditions of the unique well-posedness and well-posedness of the strong vector equilihrium problem were discussed,when the mapping satisfied some different conditions in the two arguments.Finally,the relationship,as well as the equivaleut conditious,between the well... |
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| Keywords: | strong vector equilibrium problems optimization problem well-posedness |
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