Convergence Rate of Implicit Iteration Process and a Data Dependence Result

Convergence theorems of an implicit iteration process for asymptotically pseudocontractive mappings

The purpose of this paper is to study the strong convergence of an implicit iteration process with errors to a common fixed point for a finite family of asymptotically pseudocontractive mappings and nonexpansive mappings in normed linear spaces. The results in this paper improve and extend the corresponding results of Xu and Ori, Zhou and Chang, Sun, Yang and Yu in some aspects.

Convergence of an Implicit Iteration for Affine Mappings in Normed and Banach Spaces

convergence theorems of an implicit iteration process for asymptotically pseudocontractive mappings

the purpose of this paper is to study the strong convergence of an implicit iteration process with errors to a common fixed point for a finite family of asymptotically pseudocontractive mappings and nonexpansive mappings in normed linear spaces. the results in this paper improve and extend the corresponding results of xu and ori, zhou and chang, sun, yang and yu in some aspects.

Weak and Strong Convergence of an Implicit Iteration Process for a Finite Family of Nonexpansive Mappings

The purpose of this paper is to study weak and strong convergence of a new implicit iteration process to a common fixed point for a finite family of nonexpansive mappings in a uniformly convex Banach space. The results obtained in this paper extend and improve the corresponding results of [C. E. Chidume, N. Shahzad, Strong convergence of an implicit iteration process for a finite family of none...

Strong convergence of a modified implicit iteration process for a finite family of Z-operators

Combining these three definitions, Zamfirescu [12] proved the following important result. Theorem 1.1. Let (X ,d) be a complete metric space and T : X → X a mapping for which there exists the real numbers a,b, and c satisfying a∈ (0,1), b,c ∈ (0,1/2) such that for each pair x, y ∈ X , at least one of the following conditions holds: (z1) d(Tx,Ty)≤ ad(x, y), (z2) d(Tx,Ty)≤ b[d(x,Tx) +d(y,Ty)], (z...