The implicit midpoint rule for nonexpansive mappings in 2-uniformly convex hyperbolic spaces
2019 ◽
Vol 26
(1/2)
◽
pp. 95-105
Keyword(s):
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.