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Received September 30, 2022; Accepted January 9, 2023; Published February 14, 2023
Abstract 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.
How to Cite this Article:
A. Stan, Nash equilibria for componentwise variational systems, J. Nonlinear Funct. Anal. 2023 (2023) 6.