H-单调算子与广义集值变分包含组  

H-Montone Operator and a System of Generalized Set-valued Inclusions

作　　者：邓方平[1] 丁协平[1] 

机构地区：[1]四川师范大学数学与软件科学学院,四川成都610066

出　　处：《四川师范大学学报（自然科学版）》2005年第2期149-153,共5页Journal of Sichuan Normal University（Natural Science）

基　　金：四川省教育厅重点科研基金资助项目

摘　　要：利用新的单调算子即H 单调算子,定义了该算子下的预解算子,并讨论了一类广义集值变分包含组,进而给出了H 单调算子下的新的迭代算法,并证明了该算法的收敛性.By using a new class of monotone operator H-monotone operator and the resolvent operator associated with this H-monotone operator, the resolvent technique defined with H-Monotone operator, this paper introduces and studies a system of generalized set-valued variational inclusions. An iterative algorithm to compute the approximate solution is provided. It is proved that the iterative algorithm converges strongly to the solution of the system of generalized set-valued variational inclusions.

关 键 词：H-单调算子 广义集值变分包含组 迭代算法 强收敛性 

分 类 号：O117.91[理学—数学]