Journal article Open Access
On Completeness in Metric Spaces and Fixed Point Theorems
Valentin Gregori; Juan José Miñana; Bernardino Roig; Almanzor Sapena
Complete ultrametric spaces constitute a particular class of the so called, recently, G-complete metric spaces. In this paper we characterize a more general class called weak G-complete metric spaces, by means of nested sequences of closed sets. Then, we also state a general fixed point theorem for a self-mapping of a weak G-complete metric space. As a corollary, every asymptotically regular self-mapping of a weak G-Complete metric space has a fixed point.
This is a preprint of the publication available from https://link.springer.com/article/10.1007/s00025-018-0896-4. This work is also supported by project PGC2018-095709-B-C21 (MCIU/AEI/FEDER, UE), and PROCOE/4/2017 (Govern Balear, 50% P.O. FEDER 2014-2020 Illes Balears).
Files
(297.0 kB)
| Name | Size | |
|---|---|---|
|
vg_results in mathematics_2018.pdf
md5:0bca8bf911b729a909856d1f083ae20d |
297.0 kB | Download |
53
40
views
downloads
| All versions | This version | |
|---|---|---|
| Views | 53 | 53 |
| Downloads | 40 | 40 |
| Data volume | 11.9 MB | 11.9 MB |
| Unique views | 43 | 43 |
| Unique downloads | 38 | 38 |
Indexed in
- Publication date:
- October 8, 2018
- DOI:
-
- Keyword(s):
- G-complete metric space weak G-complete metric space
- Published in:
- Results in Mathematics: 73 pp. 142.
- Grants:
-
European Commission:
- ROBINS - Robotics Technology for Inspection of Ships (779776)
- License (for files):
- Creative Commons Attribution 4.0 International