一类广义变分包含的迭代解

Iterative Solution of Generalized Variational Inclusions

介绍一类新的涉及集值映射的变分包含问题 ,构造其迭代序列 ,并证明迭代序列收敛于变分包含问题的解 ,给出迭代序列与解的误差估计 .

In this paper, we introduce a new class of variat ional inclusions involving set-valued mappings, and give an iterative algorithm . We prove the convergence of the iterative sequence given by the algorithm andthe existence of the solutions of variational inclusions. We obtain the error es timate between the solution and the iterative sequence.