摘要
给出了一个具有误差项的逼近有限个广义渐近非扩张映射公共不动点的多步隐式迭代格式,在适当条件下证明了该迭代格式收敛的充分必要条件和强收敛定理.所得结论推广并改进了该领域内的一些最新结果.
In this paper, a muhistep implicit iterative scheme with errors is proposed for approximation of common fixed points of the finite families of general asymptotically nonexpansive mappings, whose necessary and sufficient condition and strong convergence theorem for the common fixed points are proved under some parameters controlling conditions. The related results generalize and improve some newest conclusions in this field.
出处
《重庆工商大学学报（自然科学版）》
2010年第1期11-14,共4页
Journal of Chongqing Technology and Business University:Natural Science Edition
关键词
广义渐近非扩张映射
公共不动点
隐式迭代
强收敛
general asymptotically nonexpansive mappings
common fixed points
implicit iterative process
strong convergence
