| 极大单调算子和非扩展映射的迭代收敛定理及其应用 |
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| 引用本文： | 魏利,周海云.极大单调算子和非扩展映射的迭代收敛定理及其应用[J].数学研究及应用,2009,29(2):283-292. |
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| 作者姓名： | 魏利 周海云 |
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| 作者单位： | 河北经贸大学数学与统计学学院, 河北 石家庄 050061;华北电力大学理学院, 河北 保定 071003 |
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| 基金项目： | 国家自然科学基金(No.10771050). |
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| 摘 要： | In this paper, two iterative schemes for approximating common element of the set of zero points of maximal monotone operators and the set of fixed points of a kind of generalized nonexpansive mappings in a real uniformly smooth and uniformly convex Banach space are proposed. Two strong convergence theorems are obtained and their applications on finding the minimizer of a kind of convex functional are discussed, which extend some previous work.
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| 关 键 词： | 极大单调算子 非扩展映射 迭代收敛定理 应用 |
| 收稿时间： | 3/9/2007 12:00:00 AM |
| 修稿时间： | 9/7/2007 12:00:00 AM |
Iterative Convergence Theorems for Maximal Monotone Operators and Nonexpansive Mappings and Their Applications |
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| WEI Li and ZHOU Hai Yun.Iterative Convergence Theorems for Maximal Monotone Operators and Nonexpansive Mappings and Their Applications[J].Journal of Mathematical Research with Applications,2009,29(2):283-292. |
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| Authors: | WEI Li and ZHOU Hai Yun |
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| Institution: | School of Mathematics and Statistics, Hebei University of Economics and Business, Hebei 050061, China;Institute of Nonlinear Analysis, North China Electric Power University, Hebei 071003, China |
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| Abstract: | In this paper, two iterative schemes for approximating common element of the set of zero points of maximal monotone operators and the set of fixed points of a kind of generalized nonexpansive mappings in a real uniformly smooth and uniformly convex Banach space are proposed. Two strong convergence theorems are obtained and their applications on finding the minimizer of a kind of convex functional are discussed, which extend some previous work. |
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| Keywords: | maximal monotone operator iterative scheme strong convergence zero point fixed point |
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