带H-增生映象的广义变分包含问题  

Generalized Variational Inclusions Involving H-accertive Mappings

作　　者：李红果[1] 崔艳兰[1] 

机构地区：[1]延安大学数学与计算机学院,陕西延安716000

出　　处：《延安大学学报（自然科学版）》2008年第2期7-10,13,共5页Journal of Yan'an University：Natural Science Edition

基　　金：陕西省教育厅专项科研计划项目(04JK301)

摘　　要：讨论了在q-一致光滑空间中带H-增生映象的变分包含为题.引入和研究了一类含H-增生映象的广义集值变分包含,在Banach空间中适用与H-增生映象相联系的预解算子性质,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.A new class of generalized variational inclusions involving H - accertive mappings are introduced and studied. By using the properties of the resolvent operator associated with a H - accertive mappings in Banach space, a new algorithm for approcimating the solution of this class of variational inclusions is given, the vonvergence of the sequence of iterates generated by the algorithm is also discussed.

关 键 词：变分包含 H-增生映象 预解式算子技巧 迭代算法 收敛性 

分 类 号：O177.91[理学—数学]