Abstract
We approximate common fixed point of a pair of total asymptotically nonexpansive mappings in the setting of a uniformly convex metric space. The proposed algorithm is computationally simpler than the existing ones in the literature of metric fixed point theory. Our results are new and are valid in Hilbert spaces, CAT(0) spaces and uniformly convex Banach spaces satisfying Opial’s property, simultaneously.
| Original language | English |
|---|---|
| Pages (from-to) | 161-172 |
| Number of pages | 12 |
| Journal | UPB Scientific Bulletin, Series A: Applied Mathematics and Physics |
| Volume | 81 |
| Issue number | 1 |
| State | Published - 2019 |
Bibliographical note
Publisher Copyright:© 2019, Politechnica University of Bucharest. All rights reserved.
Keywords
- Common fixed point
- Convergence
- Convex metric space
- Iterative algorithm
- Jointly demiclosed principle
- Total asymptotically nonexpansive mapping
ASJC Scopus subject areas
- General Physics and Astronomy
- Applied Mathematics