Abstract
We construct one−step iterative process for an α -nonexpansive mapping and a mapping satisfying condition (C) in the framework of a convex metric space. We study Δ −convergence and strong convergence of the iterative process to the common fixed point of the mappings. Our results are new and valid in hyperbolic spaces, CAT(0) spaces, Banach spaces and Hilbert spaces, simultaneously.
| Original language | English |
|---|---|
| Pages (from-to) | 167-179 |
| Number of pages | 13 |
| Journal | Iranian Journal of Mathematical Sciences and Informatics |
| Volume | 14 |
| Issue number | 1 |
| State | Published - 2019 |
Bibliographical note
Publisher Copyright:© 2019, Iranian Academic Center for Education, Culture and Research. All rights reserved.
Keywords
- Common fixed point
- Condition(C)
- Convergence
- Convex metric space
- One−step iterative process
- α−Nonexpansive mapping
ASJC Scopus subject areas
- General Mathematics