关于符号空间上比较映射δ的研究(I)

介绍了符号空间Σ2上的比较映射δ,通过构造一个无穷01矩阵T∞,证明了符号空间上的比较映射δ与移位映射σ拓扑共轭,并进一步研究了描述比较映射δ的周期点的某些特征,给出了刻画δ的某些周期点和广义周期点的几个等价条件。

关于符号空间上比较映射δ的研究(Ⅱ)

符号空间上的比较映射δ是与移位映射σ拓扑共轭的空间自映射 ,进一步研究了δ与σ的终于周期点的特征 ,证明了符号空间Σ2 上的比较映射δ与移位映射σ具有完全相同的终于周期点集 ,即EP(δ) =EP(σ) 。

THEORETICAL AND NUMERICAL COMPARISON ON DOUBLE-PROJECTION METHODS FOR VARIATIONAL INEQUALITIES

Recently, double projection methods for solving variational inequalities havereceived much attention due to their fewer projection times at each iteration. In this paper, weunify these double projection methods within two unified frameworks, which contain the existingdouble projection methods as special cases. On the basis of this unification, theoretical andnumerical comparison between these double projection methods is presented.