Author:
Fukhar-ud-din H.,Khan A.R.
Abstract
The purpose of this paper is to introduce the implicit midpoint rule (IMR) of nonexpansive mappings in 2- uniformly convex hyperbolic spaces and study its convergence. Strong and △-convergence theorems based on this algorithm are proved in this new setting. The results obtained hold concurrently in uniformly convex Banach spaces, CAT(0) spaces and Hilbert spaces as special cases.
Funder
King Fahd University of Petroleum & MineralsKing Fahd University of Petroleum & Minerals (KFUPM)