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http://dx.doi.org/10.5666/KMJ.2021.61.3.613

Fixed Point Theorems for Mixed Monotone Vector Operators with Application to Systems of Nonlinear Boundary Value Problems  

Sadrati, Abdellatif (MSISI Laboratory, AM2CSI Group, Department of Mathematics, FST, University Moulay Ismal of Meknes)
Aouragh, My Driss (MSISI Laboratory, AM2CSI Group, Department of Mathematics, FST, University Moulay Ismal of Meknes)
Publication Information
Kyungpook Mathematical Journal / v.61, no.3, 2021 , pp. 613-629 More about this Journal
Abstract
In this paper, we present and prove new existence and uniqueness fixed point theorems for vector operators having a mixed monotone property in partially ordered product Banach spaces. Our results extend and improve existing works on τ-φ-concave operators in the scalar case. As an application, we study the existence and uniqueness of positive solutions for systems of nonlinear Neumann boundary value problems.
Keywords
fixed point in product cone; mixed monotone vector operators; systems of boundary value problems;
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