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.
出处
《工程数学学报》
CSCD
北大核心
2008年第2期307-312,共6页
Chinese Journal of Engineering Mathematics
关键词
(H
η)-增生算子
集值变分包含组
迭代算法
预解算子
(H,η)-accretive operators
system of multivalued variational inclusions
iterative algo-rithm
resolvent operator