基于m-增生映象的混合非线性变分包含  

On m-accretive Mapping Mixed Nonlinear Variational Inclusion

作　　者：刘江蓉[1] 

机构地区：[1]武汉轻工大学数学与计算机学院

出　　处：《河南科学》2013年第10期1592-1596,共5页Henan Science

基　　金：湖北省教育厅科研计划项目(B20121804)

摘　　要：引入了Banach空间中一类m-增生映象的混合非线性变分包含问题,通过对m-增生映象运用Nadler定理和隐预解算子技巧,构建了这类变分包含的迭代算法,并证明了其解的存在性和由迭代算法生成的迭代序列的收敛性.A class mixed nonlinear variational inclusions for m-accretive mapping in Banach spaces was introduced. By using Nadler＇s Theorem and the implicit resolvent operator technique for m-accretive mapping, we construct some new iterative algorithms for solving this class of variational inclusions. We prove the existence of solution for this kind of variational inclusions and the convergence of iterative sequences generalized by the algorithms in Banach spaces.

关 键 词：混合非线性变分包含 M-增生映象 迭代算法 存在性 收敛性 

分 类 号：O177.91[理学—数学]