| 变分包含与非扩张映象不动点问题公解的黏性算法 |
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| 引用本文： | 赵良才,肖辉成. 变分包含与非扩张映象不动点问题公解的黏性算法[J]. 四川师范大学学报(自然科学版), 2010, 33(1). DOI: 10.3969/j.issn.1001-8395.2010.01.014 |
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| 作者姓名： | 赵良才 肖辉成 |
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| 作者单位： | 宜宾学院,数学系,四川,宜宾,644000 |
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| 基金项目： | 国家自然科学基金，四川省教育厅自然科学重点基金 |
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| 摘 要： | 在Hilbert空间中引入和研究了一种新的迭代算法,用以寻求具多值极大单调映象和逆-强单调映象的变分包含的解集与非扩张映象的不动点集的公共元.在适当的条件下,用黏性逼近算法证明了逼近于这一公共元的某些强收敛定理.所得结果改进和推广了文献的相应结果.
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| 关 键 词： | 变分包含 非扩张映象 黏性逼近 多值极大单调映象 逆-强单调映象 不动点 |
Viscosity Approximation Algorithm of Common Solutions for Fixed Points of Nonexpansive Mappings and Variational Inclusion Problems |
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| ZHAO Liang-cai,XIAO Hui-cheng. Viscosity Approximation Algorithm of Common Solutions for Fixed Points of Nonexpansive Mappings and Variational Inclusion Problems[J]. Journal of Sichuan Normal University(Natural Science), 2010, 33(1). DOI: 10.3969/j.issn.1001-8395.2010.01.014 |
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| Authors: | ZHAO Liang-cai XIAO Hui-cheng |
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| Affiliation: | ZHAO Liang-cai,XIAO Hui-cheng (Department of Mathematics,Yibin College,Yibin 644000,Sichuan) |
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| Abstract: | In this paper,we introduce a new iterative scheme for finding a common element of the set of solutions for the variational inclusion problem with multi-valued maximal monotone mapping and inverse-strongly monotone mappings and the set of common fixed point for a nonexpansive mappings in Hilbert space.It is shown that under suitable conditions by the viscosity approximation algorithms,some strong convergence theorems for approximating to this common elements are proved.The results presented in the paper exte... |
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| Keywords: | variational inclusion nonexpansive mapping viscosity approximation multi-valued maximal monotone mapping inverse-strongly monotone mapping fixed point |
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