摘要
给出了Banach空间中一类广义集值混合非线性隐拟变分包含问题,通过对m-增生映象运用Nadler定理和隐预解算子技巧,构建了这类广义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。
In this paper, we introduce a class of generalized set-valued mixed nonlinear implicit quasi-variational inclusion in Banach spaces. By using Nadler＇s Theorem and the implicit resolvent operator technique for maccretive mapping , we construct some new iterative algorithms for solving this class of generalized set-valued variational inclusions . We prove the existence of solution for this kind of set-valued variational inclusions and the convergence of iterative sequences generalized by the algorithms in Banach spaces.
出处
《武汉工业学院学报》
CAS
2006年第3期121-124,共4页
Journal of Wuhan Polytechnic University
关键词
广义集值混合非线性隐拟变分包含
M-增生映象
迭代算法
收敛性
generalized set-valued mixed nonlinear implicit quasi-variational inclusion
m-accretive mapping
iterative algorithm
convergence
