| 2一致凸Banach空间中均衡问题、变分不等式问题和不动点问题的一个弱收敛定理 |
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| 引用本文： | 魏利,谭瑞林,周海云.2一致凸Banach空间中均衡问题、变分不等式问题和不动点问题的一个弱收敛定理[J].数学研究及应用,2011,31(3):551-561. |
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| 作者姓名： | 魏利 谭瑞林 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;河北经贸大学数学与统计学学院, 河北 石家庄 050061;军械工程学院应用数学与力学研究所, 河北 石家庄 050003 |
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| 基金项目： | 国家自然科学基金项目(Grant No.11071053),河北省自然科学基金(Grant No.A.2010001482),河北省教育厅科学研究计划(2010年第二批). |
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| 摘 要： | In this paper,we introduce a new iterative scheme for finding the common element of the set of solutions of an equilibrium problem,the set of solutions of variational inequalities for an α-inversely strongly monotone operator and the set of fixed points of relatively nonexpansive mappings in a real uniformly smooth and 2-uniformly convex Banach space.Some weak convergence theorems are obtained,to extend the previous work.
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| 关 键 词： | relatively nonexpansive mapping α-inversely strongly monotone operator equilibrium problem variational inequality weak convergence fixed point. |
| 收稿时间： | 6/2/2009 12:00:00 AM |
| 修稿时间： | 2009/9/15 0:00:00 |
A Weak Convergence Theorem for Equilibrium Problems, Variational Inequalities and Fixed Point Problems in 2-Uniformly Convex Banach Spaces |
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| Li WEI,Rui Lin TAN and Hai Yun ZHOU.A Weak Convergence Theorem for Equilibrium Problems, Variational Inequalities and Fixed Point Problems in 2-Uniformly Convex Banach Spaces[J].Journal of Mathematical Research with Applications,2011,31(3):551-561. |
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| Authors: | Li WEI Rui Lin TAN and Hai Yun ZHOU |
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| Institution: | 1. School of Mathematics and Statistics, Hebei University of Economics and Business,Hebei 050061, P. R. China
2. Institute of Applied Mathematics and Mechanics, Ordnance Engineering College,Hebei 050003, P. R. China |
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| Abstract: | In this paper, we introduce a new iterative scheme for finding the common element of the set of solutions of an equilibrium problem, the set of solutions of variational inequalities for an $\alpha$-inversely strongly monotone operator and the set of fixed points of relatively nonexpansive mappings in a real uniformly smooth and 2-uniformly convex Banach space. Some weak convergence theorems are obtained, to extend the previous work. |
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| Keywords: | relatively nonexpansive mapping $\alpha$-inversely strongly monotone operator equilibrium problem variational inequality weak convergence fixed point |
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