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| 关于集值目标映射的向量平衡问题的广义Tykhonov适定性 | |
| 引用本文： | 屈德宁,付军,程曹宗,刘兵.关于集值目标映射的向量平衡问题的广义Tykhonov适定性[J].数学的实践与认识,2012,42(23). |
| 作者姓名： | 屈德宁 付军 程曹宗 刘兵 |
| 作者单位： | 1. 吉林师范大学数学学院,吉林四平136000;北京工业大学应用数理学院,北京100124 2. 吉林师范大学数学学院,吉林四平,136000 3. 北京工业大学应用数理学院,北京,100124 4. 吉林师范大学生命科学学院,吉林四平,136000 |
| 基金项目： | 吉林省自然科学基金，四平市科技发展计划项目，吉林师范大学2012年教研项目 |
| 摘 要： | 引入集值目标映射的向量平衡问题的两类广义Tykhonov适定性,利用非紧性Kuratowski测度给出它们的度量刻划和讨论这两类适定性的充分性条件.最后证明向量平衡问题的广义Tykhonov适定性与约束极小化问题的广义Tykhonov适定性之间的等价关系. |
| 关 键 词： | 向量平衡问题 集值目标映射 广义Tykhonov适定性 近似解序列 极小化问题 |
On Generalized Tykhonov Well-Posedness for Vector Equilibrium Problems with Set-Valued Objective Mappings |
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| QU De-ning , FU Jun , CHENG Cao-zong , LIU Bing.On Generalized Tykhonov Well-Posedness for Vector Equilibrium Problems with Set-Valued Objective Mappings[J].Mathematics in Practice and Theory,2012,42(23). | |
| Authors: | QU De-ning FU Jun CHENG Cao-zong LIU Bing |
| Abstract: | In this paper two types of generalized Tykhonov well-posedness for vector equilibrium problems with set-valued objective mappings are introduced,their metric characterizations are given by applying noncompactness Kouratowski measure and their sufficient criteria are discussed.Finally,the equivalent relations between the generalized Tykhonov wellposedness for a vector equilibrium problems and that for a constrained minimizing problem are shown. |
| Keywords: | vector equilibrium set-valued objective mapping generalized Tykhonov wellposedness approximating solution sequence minimizing problem |
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