Banach空间中含H-增生算子的广义集值拟变分包含的迭代算法

An iterative algorithm for generalized set-valued quasi variational inclusions involving H-accretive operators in Banach spaces

引入和研究了Banach空间中含H-增生算子的广义集值拟变分包含.利用H-增生算子生成的预解算子,给出了一类广义集值拟变分包含的迭代算法,并证明了该迭代算法的强收敛性.文中所得到的结果改进和推广了文献[7-10]中的相关结果.

In this paper, the author introduces and studies a class of more general set -valued quasi -variational inclusions involving H - accretive operator in Banach spaces. By using the resolvent operator technique associated with H - accretive operator, an iterative algorithm for generalized set - valued quasi - variational inclusions is suggested and analysed. The convergence of iterative sequence generated by the algorithm is also proved. These results develop and generalize the corresponding results of[7 -10 ].