Journal of Mathematical Sciences: Advances and ApplicationsAuthor's: Chun Peng, Weiming Ji and Gang Li
Pages: [229] - [241]
Received Date: March 9, 2009
Submitted by: Won Kyu Kim
In this paper, under the framework of Banach space with uniformly Gateaux differentiable norm and uniform normal structure, we use the existence theorem of fixed points of Li and Sims to investigate the convergence of the implicit iteration process and the explicit iteration process for asymptotically nonexpansive mappings. We get the convergence theorems.
viscosity approximation methods, fixed point, asymptotically nonexpansive mapping, uniform normal structure, uniformly Gateaux differentiable norm.
