@Article{JNMA-7-720,
author = {Bazi , H. El and Sadrati , A.},
title = {Vector Fixed Point Theorem with Application to Systems of Nonlinear Elastic Beams Equations},
journal = {Journal of Nonlinear Modeling and Analysis},
year = {2025},
volume = {7},
number = {2},
pages = {720--738},
abstract = {<p style="text-align: justify;">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.</p>},
issn = {2562-2862},
doi = {https://doi.org/10.12150/jnma.2025.720},
url = {http://global-sci.org/intro/article_detail/jnma/24024.html}
}