完全广义集值非线性拟变分包含  

Completely Generalized Set-valued Nonlinear Variational Inclusions

作　　者：房宝娣[1] 周献丽[1] 

机构地区：[1]南京晓庄学院数学与信息技术学院,江苏南京210017

出　　处：《南京晓庄学院学报》2013年第3期1-4,共4页Journal of Nanjing Xiaozhuang University

摘　　要：文章研究了一类完全广义集值强非线性拟变分包含问题.通过运用极大单调映射的预解算子技巧建立了此变分包含与预解方程之间的等价关系.给出了解此类变分包含的一些新的算法及收敛定理.该文的模型和结论是许多文献中模型与结论的改进与推广.In this paper, a new class of completely generalized set-valued variational inclusions is studied and ana- lyzed. By using the technique of resolvent operator of the maximal monotone mapping we establish the equivalence between this kind of variational inclusions and the related resolvent equations and give a convergence theory. The results obtained in this paper improve and extend many related results in this field.

关 键 词：变分包含 预解方程 迭代算法 收敛 

分 类 号：O177.91[理学—数学]