Abstract
We introduce Prešić-Kannan nonexpansive mappings on the product spaces and show that they have a unique fixed point in uniformly convex metric spaces. Moreover, we approximate this fixed point by Mann iterations. Our results are new in the literature and are valid in Hilbert spaces, CAT(0) spaces and Banach spaces simultaneously.
| Original language | English |
|---|---|
| Pages (from-to) | 56-69 |
| Number of pages | 14 |
| Journal | Acta Universitatis Sapientiae, Mathematica |
| Volume | 10 |
| Issue number | 1 |
| DOIs | |
| State | Published - 1 Aug 2018 |
Bibliographical note
Publisher Copyright:© 2018 Hafiz Fukhar-ud-din et al.
Keywords
- Convex metric space
- Mann iterative algorithm
- Presíc Kannan nonexpansive mapping
- convergence
- fixed point
ASJC Scopus subject areas
- General Mathematics