Electron. J. Differential Equations, Vol. 2022 (2022), No. 29, pp. 1-7.

Bounds for the spectral radius of positive operators

Mohammed Said El Khannoussi, Abderrahim Zertiti

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 8, 2022.
Math Subject Classifications: 47H10, 55M20, 54H25.
Key Words: Contraction mapping principle; fixed point theorems; spectral radius; successive approximations, unique solution.
DOI: https://doi.org/10.58997/ejde.2022.29

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Mohammed Said El Khannoussi
Université Abdelmalek Essaadi
Faculté des sciences
Département de Mathématiques
BP 2121, Tétouan, Morocco
email: said_774@hotmail.com
Abderrahim Zertiti
Université Abdelmalek Essaadi
Faculté des sciences
Département de Mathématiques
BP 2121, Tétouan, Morocco
email: abdzertiti@hotmail.fr

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