Back to Search
Start Over
Existence and approximation of fixed points of enriched contractions in quasi-Banach spaces.
- Source :
-
Carpathian Journal of Mathematics . 2024, Vol. 40 Issue 2, p263-274. 12p. - Publication Year :
- 2024
-
Abstract
- We obtain results on the existence and approximation of fixed points of enriched contractions in quasi-Banach spaces and thus extend the previous results for enriched contractions defined on Banach spaces [Berinde, V.; Păcurar, M. Approximating fixed points of enriched contractions in Banach spaces. J. Fixed Point Theory Appl. 22 (2020), no. 2, Paper No. 38, 10 pp.]. The theoretical results are illustrated by means of an appropriate example of enriched contraction on a quasi-Banach space which is not a Banach space and thus show that our new results are effective generalizations of the previous ones in literature. [ABSTRACT FROM AUTHOR]
- Subjects :
- *FIXED point theory
*BANACH spaces
*CONTRACTIONS (Topology)
*QUASI-Newton methods
Subjects
Details
- Language :
- English
- ISSN :
- 15842851
- Volume :
- 40
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Carpathian Journal of Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 176288740
- Full Text :
- https://doi.org/10.37193/CJM.2024.02.03