| 广义集值强非线性混合似变分不等式解的迭代逼近 |
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| 引用本文： | 曾六川.广义集值强非线性混合似变分不等式解的迭代逼近[J].系统科学与数学,2006,26(5):629-640. |
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| 作者姓名： | 曾六川 |
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| 作者单位： | 上海师范大学数学系,上海,200234 |
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| 基金项目： | 国家教育部高等学校优秀青年教师教学和科研奖励基金，上海市教委重点学科经费(部分)及上海市重点学科经费(04010)资助． |
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| 摘 要： | 延拓辅助原理的技巧研究一类取非紧值的集值映象的广义强非线性混合似变分不等式．证明了这类广义强非线性混合似变分不等式的辅助问题解的存在性．利用该存在性结果,给出了解这类广义强非线性混合似变分不等式的迭代算法,最终证明了这类广义强非线性混合似变分不等式解的存在性及由算法生成的迭代序列的收敛性．
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| 关 键 词： | 混合似变分不等式 辅助原理的技巧 迭代算法 集值映象 存在性 收敛性 |
| 修稿时间： | 2003年9月15日 |
Inerative Aproximation of Solutions to Generalized Set-valued Strongly Nonlinear Mixed Variational-Like inequalities |
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| Zeng Luchuan.Inerative Aproximation of Solutions to Generalized Set-valued Strongly Nonlinear Mixed Variational-Like inequalities[J].Journal of Systems Science and Mathematical Sciences,2006,26(5):629-640. |
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| Authors: | Zeng Luchuan |
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| Institution: | Department of Mathematics, Shanghai Normal University, Shanghai 200234 |
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| Abstract: | The auxiliary principle technique is extended to study a class of generalized strongly nonlinear mixed variational-like inequalities for set-valued mappings without compact values.Firstly,the existence of solutions to the auxiliary problems for this class of generalized strongly nonlinear mixed variational-like inequalities is shown.Secondly,the iterative algorithm for solving this class of generalized strongly nonlinear mixed variational-like inequalities is given by using this existence result.Finally,not only the existence of solutions of this class of generalized strongly nonlinear mixed variational-like inequalities is shown,but also the conver- gence of iterative sequences generated by the algorithm is proven. |
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| Keywords: | Mixed variational-like inequality auxiliary principle technique iterative algorithm set-valued mapping existence convergence |
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