Research Communication | Open Access
Volume 2021 | Communication ID 25
Volume 2021 | Communication ID 25
| Coupled fixed points theorems for mixed monotone operators in partially ordered banach spaces and applications |
Mohamed Khazou, Mohamed Aziz Taoudi
Received |
Accepted |
Published |
January 15, 2021 |
January 31, 2021 |
March 15, 2021 |
Abstract: In this talk we present some new coupled fixed point theorems for mixed montone operators acting on an ordered Banach space. Our anlysis uses some iterative techniques combined with some arguments of weak topology. The obtained results extend and improve many earlier works including [1], [2], and [3]. As an application, we investigate the existence and the uniqueness of minimal and maximal solutions of nonlinear integral systems.