一类广义非线性多值变分包含的迭代算法  

An Iterative Algorithm for Some Generalized Nonlinear Set-valued Variational Inclusions

作　　者：贡玉军[1] 何中全[1] 牛森[1] 

机构地区：[1]西华师范大学数学与信息学院

出　　处：《广西师范学院学报（自然科学版）》2008年第2期16-20,共5页Journal of Guangxi Teachers Education University(Natural Science Edition)

基　　金：四川省高等教育改革工程人才培养质量和教学改革项目(川教[2005]198)

摘　　要：在Hilbert空间中,引进了(H,η)-单调算子概念,研究了一类新的广义集值变分包含,利用与(H,η)-单调算子相关的预解算子技巧,构造了求多值变分包含逼近解的迭代算法,并讨论了由此算法产生的迭代序列的收敛特征,给出的结果改进和推广了最近文献中Fang Y.P.,Han Z.,Zeng L.C.等人的相应结果.In the paper, the concept of strongly monotone with respect to H and G and a new kind of nonlinear set - valued variational inclusions with （ H, η） - monotone operator are introduced and a new iterative algorithm of approximating solution for some nonlinear set - valued variational inclusions is studied by resolvent operator technique associated with （ H, η） - monotone operator and the convergence of iterative result sequence is discuss. The results presented in this paper improve and extend the Fang Y. P. , Han Z., Zeng L. C., el al. ＇s results in the recently literature.

关 键 词：(H η)-单调算子 预解算子技巧 广义集值变分包含 迭代算法 

分 类 号：O177.91[理学—数学]