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

Khaled Ben Amara, Maria Isabel Berenguer () and Aref Jeribi
Additional contact information
Khaled Ben Amara: Department of Mathematics, Faculty of Sciences of Sfax, University of Sfax, Sfax 3000, Tunisia
Maria Isabel Berenguer: Department of Applied Mathematics, E.T.S. de Ingeniería de Edificación, University of Granada, 18071 Granada, Spain
Aref Jeribi: Department of Mathematics, Faculty of Sciences of Sfax, University of Sfax, Sfax 3000, Tunisia

Mathematics, 2022, vol. 10, issue 22, 1-17

Abstract: 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 two interesting type of nonlinear functional equations in Banach algebras, as well as for developing an approximation method of their solutions. In addition, to illustrate the applicability of our results we give some numerical examples.

Keywords: Banach algebras; fixed point theory; functional equations; Schauder bases (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/10/22/4179/pdf (application/pdf)
https://www.mdpi.com/2227-7390/10/22/4179/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:10:y:2022:i:22:p:4179-:d:967089

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().