Projects per year
Abstract
We investigate the existence of subinvariant metric functionals for commuting families of nonexpansive mappings in noncompact subsets of Banach spaces. Our findings underscore the practicality of metric functionals when searching for fixed points of nonexpansive mappings. To demonstrate this, we additionally investigate subsets of Banach spaces that have only nontrivial metric functionals. We particularly show that in certain cases every metric functional has a unique minimizer; thus, subinvariance implies the existence of a fixed point.
| Original language | English |
|---|---|
| Journal | arXiv preprint |
| Publication status | Submitted - 2024 |
| MoE publication type | Not Eligible |
Funding
A. W. Gutiérrez was supported by the Research Council of Finland (EasyDR project, grant 348093)
Keywords
- nonexpansive mapping
- common fixed point
- metric functional
- subinvariance
- averaged mapping
- iterative methods
Fingerprint
Dive into the research topics of 'Subinvariant metric functionals for nonexpansive mappings'. Together they form a unique fingerprint.Projects
- 1 Finished
-
EasyDR: Enabling demand response through easy to use open source approach
Kiviluoma, J. (Manager), Ikäheimo, J. (Participant), Soininen, A. (Participant), Pursiheimo, E. (Participant), Savolainen, P. T. (Participant) & Gutierrez, A. W. (Participant)
1/01/22 → 31/12/24
Project: Academy of Finland project