论文标题
与图形的Banach空间上渐近$ G $ -NONEXPANSIVE的迭代的收敛性较弱
Weak convergence of the iterations for asymptotically $G$-nonexpansive maps on Banach spaces with a graph
论文作者
论文摘要
我们得出的是，在具有图形结构$ g $的某些BANACH空间上，渐近$ G $ -NONEXPANSIVE的迭代将微弱地趋于固定点。该结果统一并扩展了各种作者证明的固定点的几个定理，用于非专业和渐近上的非专用图。作为此结果的应用，我们得出的是，对于在特殊Banach空间上局部满足非专业条件的地图，连续的近似值薄弱地趋向于固定点。
We have derived that on certain Banach spaces having a graph structure $G$, the iterations for asymptotically $G$-nonexpansive map will converge weakly towards a fixed point. This result unifies and extends several theorems on fixed points proved by various authors for class of nonexpansive and asymptotically nonexpansive maps. As an application of this result, we derive that for maps satisfying the nonexpansive condition locally on special Banach spaces, the successive approximations converge weakly towards a fixed point.
