Fixed point theory in RWC–Banach algebras
Articles
Józef Banaś
Rzeszów University of Technology
Bilel Krichen
University of Sfax
https://orcid.org/0000-0002-3481-7575
Bilel Mefteh
University of Sfax
Donal O’Regan
National University of Ireland
Published 2025-01-09
https://doi.org/10.15388/namc.2025.30.38343
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Keywords

WC–Banach algebra
RWC–Banach algebra
fixed point theorems

How to Cite

Banaś, J. (2025) “Fixed point theory in RWC–Banach algebras”, Nonlinear Analysis: Modelling and Control, 30(1), pp. 108–118. doi:10.15388/namc.2025.30.38343.

Abstract

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.

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