Banach空间中一类广义m-增生映象的隐拟变分包含  

A Class of Nonlinear Implicit Quasi Variational Inclusions Involving Generalized m-accretive Mappings In Banach Spaces

作　　者：吕站伟[1] 王艳红[1] 崔艳兰[2] 宋智鹏[2] 

机构地区：[1]西安工业大学数理系,西安710032 [2]延安大学数学与计算机科学学院,延安716000

出　　处：《西安工业大学学报》2007年第5期500-503,共4页Journal of Xi’an Technological University

摘　　要：探讨一类广义m-增生映象的隐拟变分包含问题.利用预解算子技巧,建立了一个迭代算法,导出收敛于上述变分包含问题的解的序列.得到了上述变分包含问题的解的存在逼近定理.改进和推广了HUANG Nan-Jing,FANG Ya-Ping等作者的近期结果.A class of nonlinear implicit quasi variational inclusions involving m-accretive mappings in Banach space is studied. A new iterative algorithms to approximate the solution of the class of nonlinear implicit quasi variational inclusions in Banach space is constructed using resolvent operator. The existence theorem of solutions of this class of variational inclusions is proved. Corresponding results of HUANG Nan-Jing, and FANG Ya-Ping etc are improved and extended according to the results.

关 键 词：广义M-增生映象 预解算子 变分包含 迭代算法 

分 类 号：O177.2[理学—数学]