Electronic Journal of Differential Equations, Vol. 2022 (2022), No. 29, pp. 1-7.

Title: Bounds for the spectral radius of positive operators
       
Authors: Mohammed Said El Khannoussi (Univ. Abdelmalek Essaadi, Tetouan, Morocco)
         Abderrahim Zertiti (Univ. Abdelmalek Essaadi, Tetouan, Morocco)

Abstract: 
We use partially ordered spaces to obtain bounds for the spectral radius of positive
linear operators, and to improve the corresponding fixed point theorems.

Submitted March 4, 2021. Published April 08, 2022.
Math Subject Classifications: 47H10, 55M20, 54H25.
Key Words: Contraction mapping principle; fixed point theorems; spectral radius;
           successive approximations, unique solutions.