| 广义多值拟变分包含解的两步迭代 |
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| 引用本文： | 龙宪军.广义多值拟变分包含解的两步迭代[J].应用数学,2005,18(4):603-609. |
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| 作者姓名： | 龙宪军 |
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| 作者单位： | 重庆师范大学数学系,重庆,400047 |
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| 基金项目： | Foundation item：Education Committee project Research Foundation of Chongqing （030801） |
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| 摘 要： | 本文引入并研究了Hilbert空间中的一类广义多值拟变分包含问题.借助预解算子技巧构造了一个新的两步迭代算法来逼近广义多值拟变分包含的解,并且证明了其解的存在性以及迭代算法生成的迭代序列的收敛性.
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| 关 键 词： | 广义多值拟变分包含 预解算子技巧 两步迭代算法 收敛 Hilbert空间 |
| 文章编号： | 1001-9847(2005)04-0603-07 |
| 收稿时间： | 2004-10-22 |
| 修稿时间： | 2004年10月22 |
Two-step Iterative Algorithms for Generalized Multivalued Quasi-Variational Inclusions |
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| LONG Xian-jun.Two-step Iterative Algorithms for Generalized Multivalued Quasi-Variational Inclusions[J].Mathematica Applicata,2005,18(4):603-609. |
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| Authors: | LONG Xian-jun |
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| Institution: | Department of Mathematics, Chongqing Normal University, Chongqing 400047, China |
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| Abstract: | In this paper,we introduce and study a new class of generalized multivalued quasi-variational inclusions in Hilbert space.By using the implicit resolvent operator technique,we construct a new two-step it erative algorithms for solving the generalized multivalued quasi-variational in clusions.And we prove the existence of solution for this kind of variational inc lusions and the convergence of iterative sequences generalized by the algorithms . |
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| Keywords: | Generalized multivalued quasi-variational inclusions Two-step iterative algorithms Implicit resolvent operator Convergence Hilberts pace |
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