| Banach空间中广义混合平衡问题,变分不等式问题和不动点问题的混杂投影方法 |
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| 引用本文： | 王亚琴,曾六川. Banach空间中广义混合平衡问题,变分不等式问题和不动点问题的混杂投影方法[J]. 应用数学和力学, 2011, 32(2): 241-252. DOI: 10.3879/j.issn.1000-0887.2011.02.012 |
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| 作者姓名： | 王亚琴 曾六川 |
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| 作者单位： | 绍兴文理学院 数学系,浙江 绍兴 312000; |
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| 基金项目： | 国家自然科学基金资助项目 |
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| 摘 要： | 在Banach空间中，一个新的混杂投影迭代程序被引入来逼近广义混合平衡问题解集,变分不等式问题解集和一个相对弱非扩张映射的不动点集的公共元．所得结果改进和推广了最近一些文献的相应结果．
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| 关 键 词： | 相对弱非扩张映射 强收敛 变分不等式问题 逆强单调映射 广义混合平衡问题 |
| 收稿时间： | 2010-10-25 |
Hybrid Projection Method for Generalized Mixed Equilibrium Problems,Variational Inequality Problems and Fixed Point Problems in Banach Spaces |
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| WANG Ya-qin,ZENG Lu-chuan. Hybrid Projection Method for Generalized Mixed Equilibrium Problems,Variational Inequality Problems and Fixed Point Problems in Banach Spaces[J]. Applied Mathematics and Mechanics, 2011, 32(2): 241-252. DOI: 10.3879/j.issn.1000-0887.2011.02.012 |
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| Authors: | WANG Ya-qin ZENG Lu-chuan |
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| Affiliation: | Department of Mathematics, Shaoxing University, Shaoxing, Zhejiang 312000, P. R. China;Department of Mathematics, Shanghai Normal University, Shanghai 200234, P. R. China |
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| Abstract: | A new hybrid projection iterative scheme was introduced for approximating a common elementof the solution set of a generalized mixed equilibrium problem,the solution set of a variational inequalityproblem and the set of fixed points of a relatively weak nonexpansive mapping in Banach spaces. The results obtained generalize and improve the recent ones announced by many others. |
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