Banach空间中关于广义变分不等式组的一迭代算法

An Iterative Scheme for the System of Generalized Variational Inequalities in Banach Spaces

中文关键词:  广义变分不等式  广义$f$-投影算子  紧算子  下半连续  正齐性.

英文关键词:generalized variational inequality  generalized $f$-projection operator  compact operator  lower semi-continuity  positively homogeneous.

中文摘要:

      在这篇论文中,我们在一致凸和一致光滑的Banach空间建立了一迭代算法,得到用这一算法建立的迭代序列强收敛到一类广义变分不等式组的解.

英文摘要:

      In this paper, we propose an iterative method of approximating solutions for a class of the system of generalized variational inequalities and give a convergence result for the iterative method in uniformly convex and uniformly smooth Banach spaces.