Ishikawa Type Algorithm of Two Multi-valued Quasi-nonexpansive Maps on Nonlinear Domains

We study an Ishikawa type algorithm for two multi-valued quasinonexpansive maps on a special class of nonlinear spaces namely hyperbolic metric spaces; in particular, strong and 4−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. Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia. E-mail address: [email protected]; [email protected] E-mail address: [email protected] Department of Mathematics, The Islamia University of Bahawalpur, Bahawalpur 63100, Pakistan E-mail address: [email protected] Date: Received: 12 September 2012; Revised: 11 December 2012; Accepted: 10 January 2013. ∗ Corresponding author. 2010 Mathematics Subject Classification. Primary 47H04; Secondary 47H09.