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- Title
Approximation of the Fixed Point of the Product of Two Operators in Banach Algebras with Applications to Some Functional Equations.
- Authors
Ben Amara, Khaled; Berenguer, Maria Isabel; Jeribi, Aref
- 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.
- Subjects
BANACH algebras; FUNCTIONAL equations; OPERATOR algebras; NONLINEAR operators; SCHAUDER bases; NONLINEAR functional analysis
- Publication
Mathematics (2227-7390), 2022, Vol 10, Issue 22, p4179
- ISSN
2227-7390
- Publication type
Article
- DOI
10.3390/math10224179