New iteration process for pseudocontractive mappings with convergence analysis

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 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 theorems for implicit iteration process for a finite family of continuous pseudocontractive mappings ✩

In this paper, a necessary and sufficient conditions for the strong convergence to a common fixed point of a finite family of continuous pseudocontractive mappings are proved in an arbitrary real Banach space using an implicit iteration scheme recently introduced by Xu and Ori [H.K. Xu, R.G. Ori, An implicit iteration process for nonexpansive mappings, Numer. Fuct. Anal. Optim. 22 (2001) 767–77...

Convergence Analysis of an Iteration Scheme for Lipschitz Strongly Pseudocontractive Mappings

CONVERGENCE ANALYSIS OF AN ITERATION SCHEME FOR LIPSCHITZ STRONGLY PSEUDOCONTRACTIVE MAPPINGS Shin Min Kang Department of Mathematics, Gyeongsang National University, Jinju 660-701, KOREA [email protected] Arif Rafiq Hajvery University, 43-52 Industrial Area, Gulberg-III, Lahore, Pakistan [email protected] ABSTRACT In this paper, we establish the strong convergence for the Agarwal et al. [1] ite...

On Convergence Results for Lipschitz Pseudocontractive Mappings