| 一类广义非线性似变分不等式迭代算法的收敛性与稳定性 |
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| 引用本文： | 张黎丽,刘琨.一类广义非线性似变分不等式迭代算法的收敛性与稳定性[J].大连大学学报,2009,30(3):1-6. |
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| 作者姓名： | 张黎丽 刘琨 |
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| 作者单位： | 大连东软信息学院基础部,辽宁大连,116001 |
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| 摘 要： | 通过使用辅助原理技术证明Hilbert空间中一类新的变分不等式——广义非线性似变分不等式解的存在性，并给出一种算法计算此类变分不等式的近似解，同时讨论由此算法产生的迭代序列的稳定性。
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| 关 键 词： | 广义非线性似变分不等式 辅助原理技术 迭代算法 |
Astringency and Stability of Generaliaed Nonlinear Variational-like Inequality Iterative Algorithm |
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| ZHANG Li-li,LIU Kun.Astringency and Stability of Generaliaed Nonlinear Variational-like Inequality Iterative Algorithm[J].Journal of Dalian University,2009,30(3):1-6. |
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| Authors: | ZHANG Li-li LIU Kun |
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| Institution: | ZHANG Li-li,LIU Kun(Neusoft Institute of Information,Dalian 116025 China) |
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| Abstract: | In this paper,by using auxiliary principle technique we prove the existence of solutions of a new class of generalized nonlinear variational-like inequalities in Hilbert spaces and an iterative algorithm to compute approximat solutions of the generalized nonlinear variational-like inequalities is suggested and analyzed.We also discuss the stability of this algorithm. |
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| Keywords: | Nonlinear variational-like inequality Auxiliary principle technique Iterative algorithm |
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