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.
Department of Mathematics Babes-Bolyai University, Cluj-Napoca, Romania
Nash-type equilibrium; Perov contraction; Ekeland variational principle; Periodic solution.
A. Stan, Nonlinear systems with a partial Nash type equilibrium, Stud. Univ. Babes-Bolyai, Math., 66 (2021) no. 2, 397–408,
Studia Univ. Babes-Bolyai Math.
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