Fixed point theory in RWC–Banach algebras

Józef Banaś; Bilel Krichen; Bilel Mefteh; Donal O’regan

doi:10.15388/namc.2025.30.38343

Fixed point theory in RWC–Banach algebras

Józef Banaś
, Bilel Krichen
, Bilel Mefteh
, Donal O’regan

Mathematics

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

1 Citation (Scopus)

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.

Original language	English
Pages (from-to)	108-118
Number of pages	11
Journal	Nonlinear Analysis: Modelling and Control
Volume	30
Issue number	1
DOIs	https://doi.org/10.15388/namc.2025.30.38343
Publication status	Published - 9 Jan 2025

Keywords

fixed point theorems
RWC-Banach algebra
WC-Banach algebra

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10.15388/namc.2025.30.38343

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AU - Banaś, Józef

AU - Krichen, Bilel

AU - Mefteh, Bilel

AU - O’regan, Donal

PY - 2025/1/9

Y1 - 2025/1/9

N2 - 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.

AB - 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.

KW - fixed point theorems

KW - RWC-Banach algebra

KW - WC-Banach algebra

UR - https://www.scopus.com/pages/publications/85215978808

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IS - 1

ER -

Fixed point theory in RWC–Banach algebras

Abstract

Keywords

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