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

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.