| 广义均衡问题、极大单调算子和全局拟-Φ-渐近非扩张半群的公共元的强收敛定理 |
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| 引用本文： | 吴燕林.广义均衡问题、极大单调算子和全局拟-Φ-渐近非扩张半群的公共元的强收敛定理[J].福州大学学报(自然科学版),2015,43(6):733-737. |
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| 作者姓名： | 吴燕林 |
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| 作者单位： | 福州大学阳光学院基础部 福建 福州350015 |
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| 摘 要： | 针对广义均衡问题、极大单调算子和全局拟-Φ-渐近非扩张半群的公共元,提出一个新的迭代算法,在适当的条件下,证明了由此迭代算法生成的序列的强收敛定理.
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| 关 键 词： | 极大单调算子 全局拟-Φ-渐近非扩张半群 广义均衡问题 公共不动点 |
| 收稿时间： | 9/7/2014 12:00:00 AM |
| 修稿时间： | 9/7/2014 12:00:00 AM |
Strong convergence theorems of an iterative method for a generalized equilibrium problem, a maximal monotone operator and total quasi asymptoticallynonexpansive semigroups |
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| WU Yanlin.Strong convergence theorems of an iterative method for a generalized equilibrium problem, a maximal monotone operator and total quasi asymptoticallynonexpansive semigroups[J].Journal of Fuzhou University(Natural Science Edition),2015,43(6):733-737. |
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| Authors: | WU Yanlin |
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| Institution: | Sunshine College of Fuzhou University |
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| Abstract: | In this paper, we propose an iterative scheme for finding a common element of the solutions of a generalized equilibrium problem, a maximal monotone operator and total asymptotically nonexpansive semigroups in a reflexive, strictly convex, and smooth Banach space. Under some appropriate conditions, we establish some strong convergence theorems of the sequences generated by our proposed scheme. |
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| Keywords: | a maximal monotone operator total quasi asymptotically nonexpansive semigroups a generalized equilibrium problem Common fixed point |
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