| 刘英,陈永利.Banach空间中3类问题公共解的弱收敛定理[J].数学年刊A辑,2009,30(3):345~352 |
| Banach空间中3类问题公共解的弱收敛定理 |
| Weak Convergence Theorems for a Common Solution on Three Problems in a Banach Space |
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| DOI： |
| 中文关键词: 相对非扩张映射 平衡问题 变分不等式.逆强单调映射 |
| 英文关键词:Relatively nonexpansive mapping, Equilibrium problem, Variational
inequality, Inverse-strongly-monotone mapping |
| 基金项目: |
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| 中文摘要: |
| 在2-一致凸、一致光滑的Banach空间,引入了一个迭代序列来逼近3个集合的公共点,这3个集合分别是平衡问题的解集、变分不等式的解集和相对非扩张映射的不动点集.表明了这一序列弱收敛到这3个集合的公共点. |
| 英文摘要: |
| This paper introduces an iterative sequence for finding a common element of
the set of fixed points of a relatively nonexpansive mapping and the set of solutions of the
variational inequality for an inverse-strongly-monotone mapping and the set of solutions
of an equilibrium problem in a Banach space. Then the authors show that the sequence
converges weakly to a common element of the three sets. |
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