Nonlinear systems with a partial Nash type equilibrium


Fixed point arguments and a critical point technique are combined leading to hybrid existence results for a system of three operator equations where only two of the equations have a variational structure.

The components of the solution which are associated to the equations having a variational form represent a Nash-type equilibrium of the corresponding energy functionals.

The result is achieved by an iterative scheme based on Ekeland’s variational principle.


Andrei Stan
Department of Mathematics Babes-Bolyai University, Cluj-Napoca, Romania


Nash-type equilibrium; Perov contraction; Ekeland variational principle; Periodic solution.

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A. Stan, Nonlinear systems with a partial Nash type equilibrium, Stud. Univ. Babes-Bolyai, Math., 66 (2021) no. 2, 397–408,


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Studia Univ. Babes-Bolyai Math.

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Univ. Babes-Bolyai

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