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·
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.
出处
《应用数学和力学》
EI
CSCD
北大核心
1999年第10期1015-1024,共10页
Applied Mathematics and Mechanics
基金
国家自然科学基金!资助项目 ( 198710 5 9)
关键词
广义
非线性
隐拟变分包含
迭代算法
generalized nonlinear implicit quasivariational inclusion
maximal monotone mapping
iterative algorithm
Hilbert space