摘要
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.
出处
《湛江师范学院学报》
2014年第3期24-29,共6页
Journal of Zhanjiang Normal College
基金
湛江师范学院自然科学研究青年项目(QL1102)
关键词
变分包含系统
迭代算法
松弛增生映象
预解算子
system of general variational inclusions iterative algorithms relax accretive mapping re-solvent operator