一类广义非线性隐拟变分包含

丁协平

一类广义非线性隐拟变分包含

丁协平

四川师范大学数学系, 成都 610066

基金项目: 国家自然科学基金资助项目(19871059)

详细信息

作者简介:
丁协平(1938~ ),男,教授.

中图分类号: O177.91;O177.92
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出版历程
- 收稿日期: 1998-06-12
- 修回日期: 1999-02-05
- 刊出日期: 1999-10-15

On a Class of Generalized Nonlinear Implicit Quasivariational Inclusions

Ding Xieping

Department of Mathematics, Sichuan Normal University, Chengdu 610066, P R China

摘要

摘要: 引入和研究了一类新的涉及集值极大单调映象的广义非线性隐拟变分包含.对此类变分包含在没有紧性假设下证明了解的存在定理.为寻求此类变分包含的近似解,建议和分析了一个新的迭代算法.给出了由新算法产生的迭代序列的收敛性.作为特殊情形,也讨论了在此领域内的某些已知结果.
- 广义非线性隐拟变分包含 /
- 极大单调映象 /
- 迭代算法 /
- Hilbert空间
Abstract: In this paper, a new class of generalized nonlinear implicit quasivariational inclusions involving a set-valued maximal monotone mapping are studied. A existence theorem of solutions for this class of generalized nonlinear implicit quasivariational inclusions is proved without compactness assumptions. A new iterative algorithm for finding approximate solutions of the generalized nonlinear implicit quasivariational inclusions is suggested and analysed and the convergence of iterative sequence generated by the new algorithm is also given. As special cases, some known results in this field are also discussed.
- generalized nonlinear implicit quasivariational inclusion /
- maximal monotone mapping /
- iterative algorithm /
- Hilbert space

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参考文献(40)

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