Annals of Functional Analysis

Ishikawa type algorithm of two multi-valued quasi-nonexpansive maps‎ ‎on nonlinear domains

Hafiz Fukhar-ud-din, Abdul Rahim Khan, and M‎. ‎Ubaid‎-ur-Rehman

Full-text: Access denied (no subscription detected)

We're sorry, but we are unable to provide you with the full text of this article because we are not able to identify you as a subscriber. If you have a personal subscription to this journal, then please login. If you are already logged in, then you may need to update your profile to register your subscription. Read more about accessing full-text

Abstract

We study an Ishikawa type algorithm for two multi-valued quasi-nonexpansive‎ ‎maps on a special class of nonlinear spaces namely hyperbolic metric spaces;‎ ‎in particular‎, ‎strong and $\triangle‎-‎$convergence theorems for the proposed‎ ‎algorithms are established in a uniformly convex hyperbolic space which‎ ‎improve and extend the corresponding known results in uniformly convex‎ ‎Banach spaces‎. ‎Our new results are also valid in geodesic spaces.

Article information

Source
Ann. Funct. Anal. Volume 4, Number 2 (2013), 97-109.

Dates
First available in Project Euclid: 12 May 2014

Permanent link to this document
https://projecteuclid.org/euclid.afa/1399899528

Digital Object Identifier
doi:10.15352/afa/1399899528

Mathematical Reviews number (MathSciNet)
MR3034933

Subjects
Primary: 47H04: Set-valued operators [See also 28B20, 54C60, 58C06]
Secondary: 47H09: Contraction-type mappings, nonexpansive mappings, A-proper mappings, etc.

Keywords
Hyperbolic space ‎multi-valued map common fixed point ‎asymptotic centre ‎convergence

Citation

Fukhar-ud-din, Hafiz; Khan, Abdul Rahim; ‎Ubaid‎-ur-Rehman, M‎. Ishikawa type algorithm of two multi-valued quasi-nonexpansive maps‎ ‎on nonlinear domains. Ann. Funct. Anal. 4 (2013), no. 2, 97--109. doi:10.15352/afa/1399899528. https://projecteuclid.org/euclid.afa/1399899528


Export citation