有限个广义渐近拟非扩张型映象公共不动点的逼近

Approximation of Common Fixed Points of a Finite Family of Generalized Asymptotically Quasi-nonexpansive Type Mappings

引入具混合误差的N步迭代序列,并在一般的Banach空间上给出了具混合误差的N步迭代序列强收敛于有限个具有公共不动点的广义渐近拟非扩张型映象的一个公共不动点的充分必要条件。本文的结果推广了大量现有成果。

This paper introduces N-step iterative sequence with mixed errors and gives a necessary and sufficient condition for the N-step iterative sequence with mixed errors to converges strongly to a common fixed point of a finite family of generalized asymptotically quasi-nonexpansive type mappings in a general Banach space. The result presented in this paper extends a great deal of the achievement now existed.