| 一类广义非线性混合拟变分包含组 |
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| 引用本文： | 李海凤,刘三阳,石超峰.一类广义非线性混合拟变分包含组[J].应用数学,2004(Z1). |
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| 作者姓名： | 李海凤 刘三阳 石超峰 |
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| 作者单位： | 西安电子科技大学应用数学系 陕西西安710071
(李海凤，刘三阳)，西安电子科技大学应用数学系 陕西西安710071(石超峰) |
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| 基金项目： | 国家自然科学基金资助项目 (6 9972 0 36 ) |
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| 摘 要： | 本文引入了一类新的带松弛单调映射和松弛Lipschitz映射的广义非线性混合拟变分包含组 ,构造了求解该类变分包含组的迭代算法 ,证明了该类变分包含组解的存在性以及由本文构造的迭代算法产生的迭代序列的强收敛性 .所得结果推广和改进了大量文献中的最新结果1 5 ] .
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| 关 键 词： | 广义非线性混合拟变分包含组 算法 存在性 收敛性 |
A System of Generalized Nonlinear Mixed Quasi-variational Inclusions |
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| LI Hai-feng,LIU San-yang,SHI Chao-feng.A System of Generalized Nonlinear Mixed Quasi-variational Inclusions[J].Mathematica Applicata,2004(Z1). |
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| Authors: | LI Hai-feng LIU San-yang SHI Chao-feng |
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| Abstract: | In this paper,we introduce and study a new class of a system of generalized nonlinear mixed quasi-variational inclusions and construct a new iterative algorithm for finding the approximate solutions of the system of generalized nonlinear mixed quasi-variational inclusions.The existence of the solutions and the convergence of the iterative sequence generated by the algorithm established are also given.The algorithm and existence result generalized many known rsults in recent literatures 1-5]. |
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| Keywords: | A system of generalized nonlinear mixed quasi-variational inclusions Algorithm Existence Convergence |
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