Banach空间中渐近拟非扩张型映象迭代序列的稳定性(英文)

STABILITY OF ITERATIVE SEQUENCES FOR ASYMPTOTICALLY QUASI-NONEXPANSIVE TYPE MAPPINGS IN BANACH SPACES

本文研究了一类涉及渐近拟非扩张型映象的带误改进Mann迭代序列,利用Tan和Xu的不等式,得到了该带误差Mann迭代序列的稳定性,推广了其他人的结果.

In this paper, we study a kind of modified Mann iterative sequence with errors for asymptotically quasi-nonexpansive type mappings in Banach spaces, and by using the inequality of Tan and Xu, we obtain its stability. The results presented in this paper extend the convergent results of others.