Title of article :
On the strong convergence theorems by the hybrid method for a family of mappings in uniformly convex Banach spaces
Author/Authors :
Salehi, M. Department of Mathematics - Savadkooh Branch, Islamic Azad University, Savadkooh , Dadashi, V. Department of Mathematics - Sari Branch, Islamic Azad University, Sari , Roohi, M. Department of Mathematics - Faculty of Basic Sciences - University of Mazandaran
Abstract :
Some algorithms for nding common xed 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 dierentiable 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 xed point of {Tn}.
Keywords :
Hybrid method , Common fixed point , Iterative algorithm , Uniformly convex Banach space
Journal title :
نظريه تقريب و كاربردهاي آن
