无限族全渐进非扩张映象公共不动点的分层近似迭代

A Hierarchical Iteration Process for Approximation of Common Fixed Points for Infinite Families of Total Asymptotically Nonexpansive Mappings

在一致凸的Banach空间中,采用分层迭代方法构造了无限族全渐进非扩张映象的迭代算法,在适当的条件下证明了此迭代序列强收敛于这族全渐进非扩张映象的公共不动点,所得结果改进了Rhoades、Chang和Chidume等人的研究结果.

In a uniformly convex Banach space,the algorithm for infinites families of total asymptotically nonexpansive mappings was proposed by the hierarchical iterative method.Under suitable conditions,the sequence converges strongly to the common fixed points of the family of total asymptotically nonexpansive mappings.The results extend and improve the corresponding results announced by Rhoades,Chang and Chideme etc.