一类新的广义变分包含系统及其迭代算法

A New System of General Variational Inclusions in Banach Spaces and the Resolvent Methods

在Banach空间中介绍了一类新的广义变分包含系统.利用松弛增生映象及预解算子,证明了该广义变分包含系统解的存在性和唯一性,同时也建立了收敛于该唯一解的迭代算法,并给出相应的迭代收敛定理.

In this paper,we introduce and consider a new system of general variational inclusions in Banach spaces.Using the relaxed accretive mapping and the resolvent operator technique,we prove the ex-istence and uniqueness of the solution for the system of general variational inclusions.We develop an itera-tive algorithm to approach the unique solution and also give the corresponding convergene theorem.