Abstract
In this article, we propose and analyze an implicit algorithm for two finite families of nonexpansive maps in hyperbolic spaces. Results concerning A-convergence as well as strong convergence of the proposed algorithm are proved. Our results are refinement and generalization of several recent results in CAT(0) spaces and uniformly convex Banach spaces.
| Original language | English |
|---|---|
| Article number | 54 |
| Journal | Fixed Point Theory and Algorithms for Sciences and Engineering |
| Volume | 2012 |
| DOIs | |
| State | Published - 2012 |
Bibliographical note
Funding Information:The authors wish to thank an anonymous referee for careful reading and valuable suggestions which led the manuscript to the present form. The authors A. R. Khan and H. Fukhar-ud-din are grateful to King Fahd University of Petroleum & Minerals for supporting this research. The author M. A. A. Khan gratefully acknowledges Higher Education Commission(HEC) of Pakistan for financial support during this research project.
Keywords
- Common fixed point
- Condition(a)
- Hyperbolic space
- Implicit algorithm
- Nonexpansive map
- Semi-compactness
- Δ-convergence
ASJC Scopus subject areas
- Geometry and Topology
- Applied Mathematics