| 渐近伪压缩半群公共不动点的强收敛结果 |
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| 引用本文： | 范钦伟,惠震,贺慧敏.渐近伪压缩半群公共不动点的强收敛结果[J].纺织高校基础科学学报,2017,30(2). |
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| 作者姓名： | 范钦伟 惠震 贺慧敏 |
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| 作者单位： | 1. 西安工程大学 理学院,陕西 西安,710048;2. 西安工程大学 网络与信息管理处,陕西 西安,710048;3. 西安电子科技大学 数学与统计学院,陕西 西安,710071 |
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| 基金项目： | Natural Science Basic Research Plan in Shaanxi Province of China，Special Science Research Plan of the Education Bureau of Shaanxi Province of China，Doctoral Scientific Research Foundation of Xi′an Polytechnic University，National Science Foundation of China |
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| 摘 要： | 在实Banach空间中研究渐近伪压缩半群公共不动点的强收敛性问题,提出黏制迭代算法,并且证明了该公共不动点是一个变分不等式的唯一解.所得结果将文献8]中的结果从Halpern迭代算法推广到了粘制迭代算法,将文献9]中的结果从非扩张半群推广到了渐近伪压缩半群.
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| 关 键 词： | 不动点 伪压缩半群 强收敛 Banach空间 |
Strong convergence results on the common fixed points of asymptotically pseudocontractive semigroups |
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| FAN Qinwei,HUI Zhen,HE Huimin.Strong convergence results on the common fixed points of asymptotically pseudocontractive semigroups[J].Basic Sciences Journal of Textile Universities,2017,30(2). |
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| Authors: | FAN Qinwei HUI Zhen HE Huimin |
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| Abstract: | In order to study the strong convergence of asymptotically pseudocontractive semigroups in a real Banach space,a viscosity iteration algorithm for approximating the common fixed point of asymptotically pseudocontractive semigroups is proposed, and it is proved that the common fixed point is also unique solution to a variational inequality.The results mainly extend the results of Ref.8] from the Halpern iteration algorithm to viscosity iteration algorithm, and also extend the results of Ref.9] from nonexpansive semigroups to asymptotically pseudocontractive semigroups. |
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| Keywords: | fixed points pseudocontractive semigroups strong convergence Banach space |
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