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Publication date: 22 February 2019

The implicit midpoint rule for nonexpansive mappings in 2-uniformly convex hyperbolic spaces

H. Fukhar-ud-din and A.R. Khan

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 �…

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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.

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Arab Journal of Mathematical Sciences, vol. 26 no. 1/2

Type: Research Article

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ISSN: 1319-5166

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