| 非线性混合似变分不等式的扰动近似点-投影算法 |
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| 引用本文： | 方长杰. 非线性混合似变分不等式的扰动近似点-投影算法[J]. 数学研究及应用, 2010, 30(1): 127-140. DOI: 10.3770/j.issn:1000-341X.2010.01.012 |
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| 作者姓名： | 方长杰 |
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| 作者单位： | 重庆邮电大学应用数学研究所, 重庆 400065 |
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| 基金项目： | 重庆市科委自然科学基金计划项目(No. 2008BB7415); 重庆邮电大学自然科学基金项目(No. A2008-47). |
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| 摘 要： | In this paper we introduce a new perturbed proximal-projection algorithm for finding the common element of the set of fixed points of non-expansive mappings and the set of solutions of nonlinear mixed variational-like inequalities. The convergence criteria of the iterative sequences generated by the new iterative algorithm is also given. Our approach and results generalize many known results in this field.
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| 关 键 词： | 非线性混合似变分不等式 投影方法 扰动 混合变分不等式 投影算法 扩张映象 迭代序列 迭代算法 |
| 收稿时间： | 2007-11-29 |
| 修稿时间： | 2008-07-07 |
Perturbed Proximal-Projection Methods for Nonlinear Mixed Variational-Like Inequalities |
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| Chang Jie FANG. Perturbed Proximal-Projection Methods for Nonlinear Mixed Variational-Like Inequalities[J]. Journal of Mathematical Research with Applications, 2010, 30(1): 127-140. DOI: 10.3770/j.issn:1000-341X.2010.01.012 |
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| Authors: | Chang Jie FANG |
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| Affiliation: | Institute of Applied Mathematics,Chongqing University of Posts and Telecommunications,Chongqing 400065,P.R.China |
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| Abstract: | In this paper we introduce a new perturbed proximal-projection algorithm for finding the common element of the set of fixed points of non-expansive mappings and the set of solutions of nonlinear mixed variational-like inequalities. The convergence criteria of the iterative sequences generated by the new iterative algorithm is also given. Our approach and results generalize many known results in this field. |
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| Keywords: | nonlinear mixed variational-like inequalities perturbed proximal-projection methods common elements nonexpansive mappings relaxed $(gamma,r)$-cocoercive mappings. |
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