Convergence of algorithms for fixed points of generalized asymptotically quasi-ϕ-nonexpansive mappings with applications

Convergence of algorithms for fixed points of generalized asymptotically quasi-j-nonexpansive mappings with applications

* Correspondence: ooly61@yahoo. co.kr; [email protected] Department of Mathematics, Gyeongsang National University, Jinju 660-701, Republic of Korea Department of Mathematics and RINS, Gyeongsang National University, Jinju 660-701, Republic of Korea Full list of author information is available at the end of the article Abstract In this article, strong convergence of Krasnoselski-Mann iterative s...

Convergence theorems of implicit iterates with errors for generalized asymptotically quasi-nonexpansive mappings in Banach spaces

In this paper, we prove that an implicit iterative process with er-rors converges strongly to a common xed point for a nite family of generalizedasymptotically quasi-nonexpansive mappings on unbounded sets in a uniformlyconvex Banach space. Our results unify, improve and generalize the correspond-ing results of Ud-din and Khan [4], Sun [21], Wittman [23], Xu and Ori [26] andmany others.

Convergence and Stability of Modified Random SP-Iteration for A Generalized Asymptotically Quasi-Nonexpansive Mappings

The purpose of this paper is to study the convergence and the almost sure T-stability of the modied SP-type random iterative algorithm in a separable Banach spaces. The Bochner in-tegrability of andom xed points of this kind of random operators, the convergence and the almost sure T-stability for this kind of generalized asymptotically quasi-nonexpansive random mappings are obtained. Our result...

Convergence to common fixed points for generalized asymptotically quasi-nonexpansive mappings

The aim of this article is to establish some strong convergence theorems of three-step iteration process with errors for approximating common fixed point for generalized asymptotically quasi-nonexpansive mappings and also establish a weak convergence theorem by using Opial’s [11] condition for said iteration scheme and mappings in the framework of Banach spaces. The results presented in this pa...

Approximating fixed points of generalized nonexpansive mappings