On a version of hybrid existence result for a system of nonlinear equations

Abstract

By combining monotonicity theory related to the parametric version of the Browder-Minty theorem with fixed point arguments, hybrid existence results for a system of two operator equations are obtained. Applications are given to a system of boundary value problems with mixed nonlocal and Dirichlet conditions.

Keywords

• browder-minty theorem
• schauder fixed point
• nonlocal boundary conditions
• dirichlet boundary conditions
• nonlinear systems
• 47j25
• 47h10
• 47j05