Year: 2025
Author: H. El Bazi, A. Sadrati
Journal of Nonlinear Modeling and Analysis, Vol. 7 (2025), Iss. 2 : pp. 720–738
Abstract
In this work, we establish a new existence and uniqueness of vector fixed point for a class of sum-type vector operators with some mixed monotone property in partially ordered product Banach spaces. The technique used is Thompson’s part metric, and our goal is to extend and improve existing works in the scalar case vector case. As an application, we study the existence and uniqueness of solutions for systems of nonlinear singular fourth-order elastic beam equations with nonlinear boundary conditions.
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.12150/jnma.2025.720
Journal of Nonlinear Modeling and Analysis, Vol. 7 (2025), Iss. 2 : pp. 720–738
Published online: 2025-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 19
Keywords: Mixed monotone vector operators Meir-Keeler type systems of nonlinear elastic beams equations Thompson metric $ε$-chainable metric space.