在任意实的Banach空间中,对于2个有限族广义依中心意义的渐近非扩张非自映像,引入了一种新的带误差修正的广义Ishikawa迭代序列.并在适当条件下,多次≯j妙地应用数学归纳法等工具,证明了该迭代序列强收敛于2个映像族的公共不动点.其结果改进和推广了近代许多相关的结果.
In an arbitrary real Banach space, a new modified generalized Ishikawa iterative sequence with error is introduced for two finite families of generalized asymptotically nonexpansive nonself-maps with the intermediate sense. By using ingeniously mathematical induction, under suitable conditions, it is proved that the iterative sequence con verges strongly to a common fixed point of the two finite families of the maps. The results extend and improve some corresponding related results of other authors.