We propose iterative Mann-type schemes to approximate a common fixed point of a countable family of k-demicontractive and L-Lipschitzain mappings. This improves the recent result of Chidume et al. [C.E. Chidume, M. Abbas, Bashir Ali, Convergence of the Mann iteration algorithm for a class of pseudocontractive mappings. Appl. Math. Comput. 194(1) (2007) 1?6] from a single strictly pseudocontractive mapping to a family of more general mappings.
Authors : Daruni Boonchari,Satit Saejung
Book /Journal Title : Applied Mathematics and Computation ;2010 / 216 / 173-178