一类无限簇广义集值拟变分包含问题  

A class of generalized set-valued quasi-variational inclusions

作　　者：张云艳[1] 

机构地区：[1]毕节学院数学系 贵州毕节551700

出　　处：《泰山学院学报》2007年第3期5-9,共5页Journal of Taishan University

摘　　要：本文引入并研究Banach空间中一类无限簇广义集值拟变分包含问题θ∈N(ω1,ω2…,ωn…)+A(z1,z2),给出求解这类问题的一个新的迭代算法和由此迭代算法所生成的迭代序列的收敛性及其解的存在性定理.这些结果改进、推广和统一了文[1-7]的相应结果.In this paper, we introduce and study a class of quasi-variational inclusions problem θ∈N（ω1,ω2…,ωn,…）＋A（z1,z2）, which is named infinite family of generalized set-valued quasi-variational inclusions in Banach spaces. We suggest and establish some existence theorems for solving this class of generalized set-valued quasi-variational inclusions .The results extend, improve and unify the corresponding results of [ 1 -7 ].

关 键 词：无限簇 广义集值拟变分包含 迭代算法 

分 类 号：O174[理学—数学]