Nash equilibria for componentwise variational systems
Journal of Nonlinear Functional Analysis · 2023
In this paper, we generalize an existing result regarding the existence of a Nash equilibrium for a system of fixed point equations.The problem is considered in a more general form and the initial conditions are also improved, without changing the final conclusion.This is achieved by combining the idea of a solution operator with monotone operator techniques and classical fixed point principles.An application to a coupled system with Dirichlet boundary conditions involving the p-Laplacian is provided.