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 (Formula presented.) -convergence theorems based on this algorithm are proved in this new setting. The results obtained hold concurrently in uniformly convex Banach spaces, CAT (Formula presented.) spaces and Hilbert spaces as special cases.
| Original language | English |
|---|---|
| Pages (from-to) | 95-105 |
| Number of pages | 11 |
| Journal | Arab Journal of Mathematical Sciences |
| Volume | 26 |
| Issue number | 1-2 |
| DOIs | |
| State | Published - 22 Feb 2019 |
Bibliographical note
Publisher Copyright:© 2019, H. Fukhar-ud-din and A.R. Khan.
Keywords
- Condition(A)
- Convergence
- Fixed point
- Midpoint rule
- Nonexpansive mapping
- Uniformly convex hyperbolic space
ASJC Scopus subject areas
- General Mathematics