(H,η)-单调算子在一类集值变分包含中的应用  

Application of(H,η)-monotone operators to a class of set-valued variational inclusions

作　　者：俞优莉[1] 沈自飞[1] 王元恒[1] 

机构地区：[1]浙江师范大学数理与信息工程学院,浙江金华321004

出　　处：《浙江师范大学学报（自然科学版）》2006年第3期247-251,共5页Journal of Zhejiang Normal University:Natural Sciences

基　　金：国家自然科学基金资助项目(10471113);浙江省自然科学基金资助项目(M103098)

摘　　要：在H ilbert空间中引进(H,η)-单调算子的概念,以及与此相关的预解式算子RH,ηM,λ.利用预解式算子技巧构造了一类求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性.It was introduced the concepts of resolvent operator associated with （H,η）-monotone operators. By using the resolvent operator technique, a new algorithm for approximating the solution of this class of variational inclusions was given, the convergence of the sequence of iterates generated by the algorithm was also discussed.

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

分 类 号：O177.91[理学—数学]