| 广义混合似变分不等式组的两步迭代算法 |
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| 引用本文： | 王文惠,万波.广义混合似变分不等式组的两步迭代算法[J].数学的实践与认识,2009,39(14). |
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| 作者姓名： | 王文惠 万波 |
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| 作者单位： | 重庆工商大学,数学与统计学院,重庆,400067 |
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| 基金项目： | 重庆市自然科学基金(CQSC |
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| 摘 要： | 对H ilbert空间中一类广义混合似变分不等式组进行了研究;利用次微分算子的预解式技术,建立了广义混合似变分不等式组与不动点问题之间的等价关系;给出了一个求解这种广义混合似变分不等式组的显式两步迭代算法;并证明了该算法在适当的条件下收敛.
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| 关 键 词： | 变分不等式组 显式迭代算法 松弛强制映射 Lipschitzian连续 |
Two-step Iterative Methods for a System of Generalized Mixed Quasi-Variational |
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| WANG Wen-hui,WAN Bo.Two-step Iterative Methods for a System of Generalized Mixed Quasi-Variational[J].Mathematics in Practice and Theory,2009,39(14). |
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| Authors: | WANG Wen-hui WAN Bo |
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| Abstract: | We study a new system of generalized mixed quasi-variational inequalities in Hilbert space.Using the resolvent operator technique of subdifferential operator,we prove that generalized mixed quasi-variational inequalities are equivalent to the fixed point problems;and we suggest and analyze a new explicit two-step iterative method for this system of generalized mixed quasi-variational inequalities.The new iterative method converge under certain mild conditions. |
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| Keywords: | a system of variational inequalities explicit iterative method relaxed cocoercive mapping Lipschitzian continuous |
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