Banach空间中的一类广义混合非线性隐拟变分包含  

A CLASS OF GENERALIZED SET-VALUED MIXED NONLINEAR IMPLICIT QUASI-VARIATIONAL INCLUSION IN BANACH SPACES

作　　者：刘江蓉[1] 

机构地区：[1]武汉工业学院数理科学系,湖北武汉430023

出　　处：《武汉工业学院学报》2006年第3期121-124,共4页Journal of Wuhan Polytechnic University

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.

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 

分 类 号：O177.91[理学—数学]