Weak Convergence Theorems for a Countable Family of Strict Pseudocontraction Mappings in a Uniformly Convex Banach Space with the Fréchet Differentiable Norm
Pan Si-ming · Journal of Chengdu University of Information Technology · 2011
In this paper,in order to investigate the convergences of Mann-type iterative scheme for a countable family of strict pseudocontraction mappings in a uniformly convex Banach space with the Frechet differentiable norm,we used the results obtained by Marino-Xu,Zhou,Osilike-Udomene,Zhang-Guo and the corresponding results to extend some conclusions obtained by Chidume-Shahzad to the real uniformly convex Banach space with the Frechet differentiable norm under the countable strictly pseudocontraction mappings.And the proof of the weak convergences of Mann-type iterative scheme for a countable family of strict pseudocontraction mappings in this Banach space with the Frechet differentiable norm was given.