The convergence of an implicit mean value iteration

The convergence of an implicit mean value iteration

We show the convergence of an implicit mean value iteration when applied to uniformly pseudocontractive maps. Remarks about other implicit mean value iterations are given.

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

The convergence of mean value iteration for a family of maps

We consider a mean value iteration for a family of functions, which corresponds to the Mann iteration with lim n→∞ α n = 0. We prove convergence results for this iteration when applied to strongly pseudocontractive or strongly accretive maps.

convergence of an implicit iteration for affine mappings in normed and banach spaces