Ishikawa Iteration Process with Errors for Nonexpansive Mappings
نویسنده
چکیده
We study the construction and the convergence of the Ishikawa iterative process with errors for nonexpansive mappings in uniformly convex Banach spaces. Some recent corresponding results are generalized. 2000 Mathematics Subject Classification. 47H10, 40A05.
منابع مشابه
On the Ishikawa iteration process in CAT(0) spaces
In this paper, several $Delta$ and strong convergence theorems are established for the Ishikawa iterations for nonexpansive mappings in the framework of CAT(0) spaces. Our results extend and improve the corresponding results
متن کاملImplicit iteration approximation for a finite family of asymptotically quasi-pseudocontractive type mappings
In this paper, strong convergence theorems of Ishikawa type implicit iteration process with errors for a finite family of asymptotically nonexpansive in the intermediate sense and asymptotically quasi-pseudocontractive type mappings in normed linear spaces are established by using a new analytical method, which essentially improve and extend some recent results obtained by Yang ...
متن کاملConvergence 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.
متن کاملWeak and Strong Convergence of Finite Family with Errors of Nonexpansive Nonself-mappings
Let K be a subset of a real normed linear space E and let T be a self-mapping on K . T is said to be nonexpansive provided ‖Tx−Ty‖ ‖x− y‖ for all x, y ∈ K . Fixed-point iteration process for nonexpansive mappings in Banach spaces including Mann and Ishikawa iteration processes has been studied extensively by many authors to solve the nonlinear operator equations in Hilbert spaces and Banach spa...
متن کاملConvergence of the Projection Type Ishikawa Iteration Process with Errors for a Finite Family of I-Asymptotically Nonexpansive Mappings in Generalized Convex Metric Spaces
In this paper, we consider the strong convergence of the projection type Ishikawa iteration process to a common fixed point of a finite family of I-asymptotically nonexpansive mappings in generalized convex metric spaces. Our results of this paper improve and extend the corresponding results of Temir[4], Thianwan [6].
متن کامل