Banach空间一类H-增生算子的混合拟变分包含的邻近算子方程

本文在Banach空间中引入一类H-增生算子的混合拟变分包含,并提出求该变分包含问题解的邻近点法.通过H-增生算子的预解算子技术,建立了混合拟变分包含问题与邻近算子方程的等价关系,由这个等价关系得到求解邻近算子方程的迭代算法,该算法收敛于上述混合拟变分包含问题的解.

Proximal Operator Equations for Mixed Multivalued Quasi-Variational Inclusions with H-accretive Operator in Banach Spaces

We suggest and analyze a new proximal point method for solving mixed multivalued quasi-variational inclusions with H-accretive operator in Banach spaces.By the resolvent operators associated with the H-accretive operator,we establish an equivalent relation between the mixed multivalued quasi-variational inclusions and the proximal operator equations.This equivalence is used to suggest an iterative algorithm for solving proximal operator equations.We prove the convergence of the iterative algorithm for solving mixed multivalued quasi-variational inclusions.