Nash-type equilibria for systems of Szulkin functionals


In this paper the solutions of some systems of variational inequalities are obtained as Nash-type equilibria of the corresponding systems of Szulkin functionals. This is achieved by an iterative scheme based on Ekeland’s variational principle, whose convergence is proved via the vector technique involving inverse-positive matrices. An application to periodic solutions for a system of two second order ordinary differential equations with singular ϕ-Laplacians is included.


Radu Precup
Department of Mathematics Babes-Bolyai University, Cluj-Napoca, Romania


Szulkin-type functional; System of variational inequalities; Nash-type equilibri

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R. Precup, Nash-type equilibria for systems of Szulkin functionals, Set-Valued and Variational Analysis 24 (2016), 471-482,


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Set-valued and Variational Analysis

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