On the strong convergence theorems by the hybrid method for a family of mappings in uniformly convex Banach spaces
Masood Salehi, Vahid Dadashi, Mehdi Roohi · Theory of Approximation and Applications · 2010
Some algorithms for finding common fixed point of a family of mappings is constructed. Indeed, let C be a nonempty closed convex subset of a uniformly convex Banach space X whose norm is Gateaux differentiable and let {Tn} be a family of self-mappings on C such that the set of all common fixed points of {Tn} is nonempty. We construct a sequence {xn} generated by the hybrid method and also we give the conditions of {Tn} under which {xn} converges strongly to a common fixed point of {Tn}.