Strong convergence for a finite family of non-expansive mappings
Yujun Liu · Journal of Anhui University · 2009
The fixed theory was an important parts of nonlinear functional analysis.The development of fixed point theory stimulated the study of many mathematical fields.We constructed effective iterative schemes to approximate the fixed point of mapping.A new algorithm was provided to found a fixed point of an finite family of non-expansive self-mapping of a closed convex subset of uniformly convex Banach space.When αn,λ satisfied some conditions,then {xn} strongly converged to a common fixed point of T.The paper mainly extended Xu H K[1] results and some others.