Banach空间中一类广义变分包含的迭代解

Iterative Solution of Generalized Variational Inclusions in Banach Spaces

在Banach空间中介绍一类涉及集值映射的广义变分包含问题 ,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 ,给出迭代解与解的误差估计 。

In this paper,we introduce a class of variational inclusions involving set-valued mappings in real Banach spaces,and give an iterative algorithm.We prove the convergence of the iterative sequence given by the algorithm and the existence of the solutions of variational inclusions.We obtain the error estimate between the solution and iterative sequence.The results presented in this paper extend and improve the corresponding results obtained by several authors early and recently.