| 一类集值拟变分包含解的存在性定理 |
| |
| 引用本文： | 尚明生,孙世新,王庆先.一类集值拟变分包含解的存在性定理[J].电子科技大学学报(社会科学版),2001(5). |
| |
| 作者姓名： | 尚明生 孙世新 王庆先 |
| |
| 作者单位： | 电子科技大学计算机学院 成都610054
(尚明生，孙世新)，电子科技大学计算机学院 成都610054(王庆先) |
| |
| 基金项目： | 国防预研项目，国家自然科学基金资助项目，基金号: 19971058 |
| |
| 摘 要： | 研究一类新的集值拟变分包含,在实Hilbert空间中,利用预解算子技术,建立了集值拟变分包含、预解方程和不动点问题间的等价性。利用该等价性,建立了新的迭代算法,得到了这种变分包含解的存在性定理。该文提出的算法和结果推广和改进了近年来许多作者所作的算法和结果。
|
| 关 键 词： | 拟变分包含 集值算子 迭代算法 预解方程 收敛性 |
Existence Theory for A Kind of Generalized Nonlinear Set-valued Quasi-Variational Inclusionsand Resolvent Equations in Banach Spaces |
| |
| Shang Mingsheng,Sun Shixin,Wang Qingxian.Existence Theory for A Kind of Generalized Nonlinear Set-valued Quasi-Variational Inclusionsand Resolvent Equations in Banach Spaces[J].Journal of University of Electronic Science and Technology of China(Social Sciences Edition),2001(5). |
| |
| Authors: | Shang Mingsheng Sun Shixin Wang Qingxian |
| |
| Abstract: | This paper studied a new set-valued quasi-variational inclusions. By using the properties of m-accretive, the equivalence between the generalized nonlinear set-valued quasi-variational inclusions, the resolvent equations, and the fixed-point problem in Banach spaces are established. Using the equivalence, some iterative algorithms for a new class of generalized nonlinear set-valued quasi-variational inclusions and related optimization problems is developed. The algorithms and results improve and generalize many known corresponding algorithms and results in resent years. |
| |
| Keywords: | quasi-variational inclusions set-valued mappings iterative algorithms resolvent quations |
| 本文献已被 CNKI 等数据库收录！ |
