Banach空间中一类含(H，η)-增生算子的集值变分包含组  

A System of Multivalued Variational Inclusions with (H,η)-accretive Operators in Banach Spaces

作　　者：王亚琴[1] 

机构地区：[1]绍兴文理学院

出　　处：《工程数学学报》2008年第2期307-312,共6页Chinese Journal of Engineering Mathematics

摘　　要：本文我们在Banach空间中引入和研究了一类新的含(H,η)-增生算子的集值变分包含组。利用所定义的(H,η)-增生算子的预解算子,给出了此类变分包含组的迭代算法,并证明了由该算法生成的迭代序列的强收敛性。In this paper, we introduce and study a new system of multivalued variational inclusions involving （H,η）-accretive operators in Banach spaces. Using the resolvent operator associated with （H,η）-accretive operators, we construct an algorithm for this system and prove the covergence of the iterative sequences generated by the algorithm.

关 键 词：(H η)-增生算子 集值变分包含组 迭代算法 预解算子 

分 类 号：O177.91[理学—数学]