Salvador Romaguera and Pedro Tirado
Showing the Existence and Uniqueness of Solution for Certain Rational Difference Equations by Means of a Fixed Point Theorem of Browder’s Type 
Dynamic Systems and Applications 31 (2022) 207-215

https://doi.org/10.46719/dsa202231.03.05

ABSTRACT.
By applying a quasi-metric version of the famous Browder’s xed point theorem,
we prove the existence and uniqueness of solution of certain rational difference equations. Several
special cases of well-known and relevant rational difference equations are contained in our approach.

AMS (MOS) Subject Classification. 47H10, 39A05, 54E50.
Key Words and Phrases. Browder’s fixed point theorem, the supremum quasi-metric, rational
difference equations.