应用数学2007,Vol.20Issue(3):535-540,6.
Banach空间的上带松弛共强制的广义隐式变分包含组
Ceneralized System for Relaxed Cocoercive Implicit Variational Inclusions in Banach Spaces
摘要
Abstract
We introduce and study a system of nonlinear implicit variational inclusions (SNIVI) with relaxed cocoercive mappings in real Banach spaces.By using resolvent operator technique for M-accretive mapping,we construct a new class of iterative algorithms for solving this class of system of implicit variational inclusions.The convergence of iterative algorithms be proved in q-uniformly smooth Banach spaces.Our results generalize and improve the corresponding results of recent works.关键词
非线性广义隐式变分包含组/预解算子/M-增殖算子/迭代算法/收敛性Key words
System of nonlinear implicit variational inclusion/Resolvent operator/M-accretive mapping/Iterative algorithm/Convergence分类
数理科学引用本文复制引用
柏传志..Banach空间的上带松弛共强制的广义隐式变分包含组[J].应用数学,2007,20(3):535-540,6.基金项目
Supported by the Natural Science Foundation of Jiangsu Education Office (06KJB110010) and Jiangsu Planned Projects for Postdoctoral Research Funds (203003401) (06KJB110010)