混合型渐近非扩张映射合成隐迭代序列的收敛性定理

Convergence Theorems of Composite Implied Iterative Scheme for Mixed Type Asymptotically Nonexpansive Mappings

在一致凸Banach空间中,研究了有限族渐近非扩张自映射和渐近非扩张非自映射的新的合成隐迭代序列的强收敛和弱收敛定理.得到的结果改进和推广了许多作者的相应结果.

The purpose of this paper is to study the weak and strong convergence of a new composite implicit iteration scheme to a common fixed point for a finite family of asmptotically non- expansive self-mappings and a finite family of asymptotically nonexpansive nonself-mappings in Banach spaces. The results showed in this paper extend and improve the corresponding results of several authors.