Fixed point theory in RWC–Banach algebras
In this paper, we prove some fixed point results for the sum and the product of nonlinear continuous operators acting on an RWC–Banach algebra. Our result is formulated in terms of topological conditions on the operators. An illustrative example on an RWC–Banach algebra, which is not a WC–Banach algebra, is provided.
Authors
- Donal O’Regan (ORCID: https://orcid.org/0000-0002-4096-1469)
- Józef Banaś (ORCID: https://orcid.org/0000-0002-2838-5569)
- Bilel Mefteh
- Bilel Krichen (ORCID: https://orcid.org/0000-0002-3481-7575)
Institutions
- Rzeszów University of Technology (PL)
- University of Sfax (TN)
- National University of Ireland (IE)
Publication Details
- Journal
- Nonlinear Analysis Modelling and Control
- Published
- 2025-01-09
- DOI
- https://doi.org/10.15388/namc.2025.30.38343
- Citations
- 1
- Primary Topic
- Fixed Point Theorems Analysis
- Type
- article
- Field-Weighted Citation Impact
- 4.09