| Banach空间中的平衡问题 |
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| 引用本文： | 石超峰.Banach空间中的平衡问题[J].咸阳师范学院学报,2005,20(6):5-7. |
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| 作者姓名： | 石超峰 |
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| 作者单位： | 咸阳师范学院数学系 陕西咸阳712000 |
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| 基金项目： | 咸阳师范学院科研基金资助重点项目(编号:04XSYK102) |
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| 摘 要： | 提出了Banach空间中的平衡问题,并给出了求解该问题的迭代算法及算法的收敛性分析。该算法同样适用于变分不等式和互补问题,推广了最新文献4.7.8]中的相应结果。
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| 关 键 词： | 平衡问题 变分不等式 收敛性 |
| 文章编号： | 1672-2914（2005）06-0005-03 |
| 收稿时间： | 2005-10-09 |
| 修稿时间： | 2005年10月9日 |
Equilibrium Problems in Banach Spaces |
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| SHI Chao-feng.Equilibrium Problems in Banach Spaces[J].Journal of Xianyang Normal University,2005,20(6):5-7. |
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| Authors: | SHI Chao-feng |
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| Abstract: | In this paper,we use the auxiliary principle technique to suggest some new classes of iterative algorithms for solving multivalued equilibrium problems in Banach spaces.The convergence of the proposed methods requires strongly monotonicity.As special cases,we obtain a number of known and new results for solving various classes of equilibrium and variational inequality problems.Since multivalued equilibrium problems include equilibrium,variational inequality and complementarity problems as special cases,our results continue to hold for these problems. |
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| Keywords: | equilibrium problems variational inequalities auxiliary principle iterative methods Banach spaces convergence |
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