On the Ishikawa iteration process in CAT(0) spaces

Authors

Abstract:

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

Upgrade to premium to download articles

Sign up to access the full text

Already have an account?login

similar resources

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

full text

Ishikawa Iteration Process for Nonself Nonexpansive Maps in Banach Spaces

In this paper, we construct Ishikawa iterative scheme with errors for nonself nonexpansive maps and approximate fixed points of these maps through weak and strong convergenc of the scheme.

full text

Ishikawa Iteration Process with Errors for Nonexpansive Mappings in Uniformly Convex Banach Spaces

We shall consider the behaviour of Ishikawa iteration with errors in a uniformly convex Banach space. Then we generalize the two theorems of Tan and Xu without the restrictions that C is bounded and limsupn sn < 1.

full text

New iteration process for approximating fixed points in Banach spaces

‎The object of this paper is to present a new iteration process‎. ‎We will show that our process is faster than the known recent iterative schemes‎. ‎We discuss stability results of our iteration and prove some results in the context of uniformly convex Banach space for Suzuki generalized nonexpansive mappings‎. ‎We also present a numerical example for proving the rate of convergence of our res...

full text

Ishikawa Iteration Process with Errors for Nonexpansive Mappings

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.

full text

Strong Convergence Theorems of Ishikawa Iteration Process With Errors For Fixed points of Lipschitz Continuous Mappings in Banach Spaces

Let q > 1 and E be a real q-uniformly smooth Banach space, K be a nonempty closed convex subset of E and T : K → K be a Lipschitz continuous mapping. Let {un} and {vn} be bounded sequences in K and {αn} and {βn} be real sequences in [0, 1] satisfying some restrictions. Let {xn} be the sequence generated from an arbitrary x1 ∈ K by the Ishikawa iteration process with errors: yn = (1− βn)xn + βnT...

full text

My Resources

Save resource for easier access later

Save to my library Already added to my library

{@ msg_add @}


Journal title

volume 37  issue No. 4

pages  185- 197

publication date 2011-12-15

By following a journal you will be notified via email when a new issue of this journal is published.

Hosted on Doprax cloud platform doprax.com

copyright © 2015-2023