Convergence Theorems Of An Implicit Iteration Process For Asymptotically Pseudocontractive Mappings

The convergence of implicit iteration process with errors for a finite family of k-strict asymptotically pseudocontractive mappings with* sequence {k_n}_n=1^∞ is studied. An implicititerative process with errors has been introduced, {x_n} is difined by this implicit iterative methods with errors in p-uniformly convex Banach space. We prove that if E has Opial's property , then {x_n} weakly convergent to a common fixed point of {T_i}_i=1^N and if T_i^m iscompact for some natural number m and i∈I or there exists some T ∈ {T_i} to be semi-compact or T_i :K →K , (i∈I) is ? completely continuous mapping, then {x_n} weakly convergence to a common fixed point of {T_i}_i=1^N.