| 非扩张半群公共不动点与广义变分不等式 解的迭代收敛性 |
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| 引用本文： | 张树义,丛培根,张芯语.非扩张半群公共不动点与广义变分不等式 解的迭代收敛性[J].北华大学学报(自然科学版),2018,19(1):1-12. |
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| 作者姓名： | 张树义 丛培根 张芯语 |
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| 作者单位： | 渤海大学数理学院,辽宁 锦州,121013;渤海大学数理学院,辽宁 锦州,121013;渤海大学数理学院,辽宁 锦州,121013 |
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| 基金项目： | 国家自然科学基金资助项目，渤海大学研究生创新基金项目 |
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| 摘 要： | 引入一种新的非扩张半群显式粘滞迭代算法,使用这种显式粘滞迭代算法,在较弱条件下,在Hilbert空间中建立了非扩张半群公共不动点集与具有α-可逆g-强单调映象的广义变分不等式解集的公共元素的强收敛定理,推广和改进了相关结果.
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| 关 键 词： | Hilbert空间 非扩张半群 广义变分不等式 显式粘滞迭代算法 α-可逆g-强单调映象 |
Iterative Convergences of Common Fixed Points for Nonexpansive Semigroups and Solutions for Generalized Variational Inequalities |
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| Zhang Shuyi,Cong Peigen,Zhang Xinyu.Iterative Convergences of Common Fixed Points for Nonexpansive Semigroups and Solutions for Generalized Variational Inequalities[J].Journal of Beihua University(Natural Science),2018,19(1):1-12. |
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| Authors: | Zhang Shuyi Cong Peigen Zhang Xinyu |
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| Abstract: | We introduce a new kind of explicit viscosity iterative algorithms for nonexpansive semigroups,and by using this kind of explicit viscosity iterative algorithms,the strong convergence theorems to find a common element of the set of common fixed points for nonexpansive semigroups and the set of solutions of generalized variational inequalities with α-inverse g-strongly monotone mapping in Hilbert spaces are established under the weaker condition. This paper extends and improves the corresponding results. |
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