Approximation of the Fixed Point of the Product of Two Operators in Banach Algebras with Applications to Some Functional Equations

Approximation of the Fixed Point of the Product of Two Operators in Banach Algebras with Applications to Some Functional Equations

Making use of the Boyd-Wong fixed point theorem, we establish a new existence and uniqueness result and an approximation process of the fixed point for the product of two nonlinear operators in Banach algebras. This provides an adequate tool for deriving the existence and uniqueness of solutions of...

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Bibliographic Details
Main Authors: Khaled Ben Amara, Maria Isabel Berenguer, Aref Jeribi
Format: Article
Language:English
Published: MDPI AG 2022-11-01
Series:Mathematics
Subjects:
Banach algebras
fixed point theory
functional equations
Schauder bases
Online Access:https://www.mdpi.com/2227-7390/10/22/4179

Internet

https://www.mdpi.com/2227-7390/10/22/4179

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